All the Suckers's Bets Decks with, 4, decks, with deck sizes, 6, 6, 6, 6, using , 8, denominations labelled from 1 to, 8 Where No denomination appears in more than one deck (hence there is never a \ tie) By Shalosh B. Ekhad Up to obvious cyclic symmetry, there are, 755, distinct such collection of decks where Deck , 1, beats deck, 2 Deck , 2, beats deck, 3 Deck , 3, beats deck, 4 but surprise, surprise Deck, 4, beats deck 1 Here there all are ------------------------------------------------------- Set Number, 1, is as follows Deck , 1, has denominations , 1, 1, 3, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 4, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/6 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 2, is as follows Deck , 1, has denominations , 1, 1, 3, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 3, is as follows Deck , 1, has denominations , 1, 1, 3, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 4, 8 It is readily seen that 19 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 5/6 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 4, is as follows Deck , 1, has denominations , 1, 1, 3, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that 19 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 5, is as follows Deck , 1, has denominations , 1, 1, 4, 4, 8, 8 Deck , 2, has denominations , 3, 3, 3, 3, 7, 7 Deck , 3, has denominations , 2, 2, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 6, is as follows Deck , 1, has denominations , 1, 1, 4, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 7, is as follows Deck , 1, has denominations , 1, 1, 4, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that 19 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 8, is as follows Deck , 1, has denominations , 1, 1, 4, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 9, is as follows Deck , 1, has denominations , 1, 1, 4, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that 19 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 10, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 11, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 6, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 25 Deck , 3, beats deck , 4, with probability , -- 36 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 12, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 13, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 6, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 19 Deck , 3, beats deck , 4, with probability , -- 36 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 14, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 6, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 15, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 16, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 6, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 17, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 18, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 6, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 19, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 6, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 20, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 6, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 21, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 6, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 22, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 11 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 23, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 24, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 8 Deck , 4, has denominations , 2, 2, 2, 2, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 25, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 26, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 27, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 6, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 28, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 29, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 6, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 30, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 31, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 32, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 33, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 34, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 35, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 36, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 37, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 38, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 39, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 40, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 41, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 6, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 42, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 43, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 44, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 45, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 46, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 47, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 48, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 49, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 6, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 50, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 6, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 51, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 52, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 31 Deck , 2, beats deck , 3, with probability , -- 36 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 53, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 54, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 55, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 56, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 57, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 58, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 6, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 59, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 5/6 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 60, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 3/4 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 61, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 62, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 8/9 ------------------------------------------------------- Set Number, 63, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 64, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 65, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 66, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 67, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 68, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 69, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 70, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 71, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 72, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 73, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 6, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 19 yet Deck, 4, beats deck 1, with probability , -- 36 ------------------------------------------------------- Set Number, 74, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 75, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 76, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 77, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 78, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 79, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 7/12 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 80, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 8 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 81, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 8 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 82, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 5, 8 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 83, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 84, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 85, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 86, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 87, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 88, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 89, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 90, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 91, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 92, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 93, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 6, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 94, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 95, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 96, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 97, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that 11 Deck , 1, beats deck , 2, with probability , -- 18 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 98, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 99, is as follows Deck , 1, has denominations , 1, 1, 5, 5, 8, 8 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 100, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 101, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 102, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 103, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 104, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 105, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 106, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 107, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 108, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 109, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 110, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 6, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 111, is as follows Deck , 1, has denominations , 1, 1, 5, 6, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 112, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 113, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that 19 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 114, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 115, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that 19 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 116, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 117, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 118, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that 23 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 119, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that 11 Deck , 1, beats deck , 2, with probability , -- 18 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 120, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 7/12 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 121, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 122, is as follows Deck , 1, has denominations , 1, 1, 5, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that 19 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 123, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 2, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 124, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 2, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 7 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 125, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 2, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 126, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 2, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 127, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 2, 5, 5, 5, 7 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 128, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 2, 5, 5, 5, 8 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 129, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 130, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 7 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 25 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 131, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 25 Deck , 2, beats deck , 3, with probability , -- 36 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 132, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 25 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 133, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 7, 7 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 134, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 135, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 136, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 137, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 7 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 138, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 8 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 139, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 3, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 140, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 3, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 141, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 3, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 142, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 3, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 143, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 3, 5, 5, 5, 7 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 144, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 3, 5, 5, 5, 8 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 145, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 146, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 25 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 147, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 25 Deck , 2, beats deck , 3, with probability , -- 36 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 148, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 25 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 149, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 150, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 151, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 152, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 153, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 7 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 154, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 8 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 155, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 156, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 5, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 19 Deck , 3, beats deck , 4, with probability , -- 36 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 157, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 5, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 158, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 159, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 5, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 160, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 5, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 161, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 5, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 162, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 5, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 163, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 5, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 164, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 5, 5, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 165, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 5, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 166, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 167, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 168, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 169, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 170, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 171, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 172, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 173, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 174, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 175, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 176, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 177, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 178, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 179, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 180, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 181, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 182, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 183, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 184, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 185, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 186, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 187, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 188, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 189, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 190, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 191, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 192, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 193, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 194, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 195, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 196, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 197, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 198, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 199, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 200, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 201, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 202, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 203, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 204, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 205, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 206, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 207, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 208, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 209, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 210, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 211, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 212, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 213, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 214, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 215, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 216, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 217, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 218, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 219, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 220, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 2, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 221, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 222, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 4, 7 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 223, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 4, 8 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 11 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 224, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 7, 7 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 225, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 226, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 227, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 228, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 19 Deck , 3, beats deck , 4, with probability , -- 36 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 229, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 4, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 230, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 231, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 4, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 232, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 4, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 233, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 234, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 235, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 4, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 236, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 4, 4, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 237, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 4, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 238, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 239, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 4, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 240, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 241, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 242, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 243, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 244, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 245, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 246, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 247, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 4, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 248, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 249, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 250, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 251, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 252, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 253, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 254, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 255, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 4, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 256, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 257, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 258, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 7, 7 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 259, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 260, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 261, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 262, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 263, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 264, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 265, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 7 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 266, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 7 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 267, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 7 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 268, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 269, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 270, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 271, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 272, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 273, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 7, 7 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 274, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 7, 7 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 275, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 7, 7 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 276, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 277, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 278, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 279, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 280, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 281, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 3, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 282, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 283, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 284, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 285, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 286, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 287, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 288, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 289, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 290, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 291, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 292, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 293, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 294, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 295, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 296, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 297, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 298, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 299, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 300, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 2, 2, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 301, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 302, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 3, 3, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 303, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 304, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 305, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 306, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 307, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 308, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 309, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 310, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 311, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 312, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 313, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 314, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 315, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 316, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 317, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 318, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 319, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 320, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 2, 2, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 321, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 322, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 3, 3, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 323, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 324, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 325, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 326, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 327, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 328, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 329, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 330, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 331, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 332, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 333, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 334, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 335, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 336, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 337, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 338, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 339, is as follows Deck , 1, has denominations , 1, 1, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 340, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 2, 2, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 341, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 342, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 3, 3, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 343, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 344, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 345, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 346, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 347, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 348, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 349, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 350, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 351, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 352, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 353, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 354, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 355, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 356, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 357, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 358, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 359, is as follows Deck , 1, has denominations , 1, 1, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 360, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 6 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 361, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 5, 5, 5, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 362, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 5, 5, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 363, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 5, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 364, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 3, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 365, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 366, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 367, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 368, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 369, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 4, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 370, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 371, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 372, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 373, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 3, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 374, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 4, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 375, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 6 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 25 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 376, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 6, 6 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 377, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 5, 5, 5, 5, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 378, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 5, 5, 5, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 379, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 5, 5, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 380, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 5, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 381, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 382, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 383, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 384, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 385, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 386, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 387, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 388, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 389, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 390, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 3, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 391, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 392, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 5, 5, 5, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 393, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 5, 5, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 394, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 5, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 395, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 396, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 397, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 398, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 399, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 400, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 4, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 401, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 402, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 403, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 404, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 4, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 405, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 25 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 406, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 407, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 5, 5, 5, 5, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 408, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 5, 5, 5, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 409, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 5, 5, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 410, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 5, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 411, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 412, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 413, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 414, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 415, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 416, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 417, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 418, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 419, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 420, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 5, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 19 Deck , 3, beats deck , 4, with probability , -- 36 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 421, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 5, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 422, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 5, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 423, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 424, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 425, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 426, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 427, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 428, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 429, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 430, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 5, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 431, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 8/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 432, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 7/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 433, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 6, 6 Deck , 3, has denominations , 3, 3, 3, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 434, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 4, 6, 6 Deck , 3, has denominations , 3, 3, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 435, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 436, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 437, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 5, 5, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 438, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 5, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 439, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 440, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 11 Deck , 2, beats deck , 3, with probability , -- 12 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 441, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 442, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 3/4 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 443, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 6, 6, 6 Deck , 3, has denominations , 3, 3, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 444, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 4, 6, 6, 6 Deck , 3, has denominations , 3, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 445, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 446, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 447, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 5, 5, 5, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 448, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 5, 5, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 449, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 5, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 450, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 451, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 17 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 452, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 8/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 453, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 454, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 7/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 455, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 3, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 456, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 457, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 458, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 459, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 460, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 461, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 5, 5, 5, 5, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 462, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 5, 5, 5, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 463, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 5, 5, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 464, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 5, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 3 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 465, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 466, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 35 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 467, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 17 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 468, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 11 Deck , 2, beats deck , 3, with probability , -- 12 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 469, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 8/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 470, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 471, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 472, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 473, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 474, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 4, 6 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 475, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 6, 6 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 476, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 6 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 19 Deck , 3, beats deck , 4, with probability , -- 36 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 477, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 4, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 478, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 6, 6 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 479, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 4, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 480, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 481, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 4, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 482, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 483, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 4, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 484, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 6, 6 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 485, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 6 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 486, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 6 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 487, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 6 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 488, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 6, 6 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 489, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 6, 6 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 490, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 6, 6 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 491, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 492, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 493, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 494, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 495, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 496, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 497, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 498, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 499, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 500, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 501, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 502, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 503, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 504, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 505, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 506, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 507, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 508, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 509, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 510, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 511, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 512, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 513, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 514, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 515, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 516, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 517, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 518, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 519, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 520, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 521, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 522, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 523, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 524, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 525, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 526, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 527, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 528, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 529, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 530, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 531, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 532, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 533, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 534, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 535, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 536, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 4, 4, 4, 4, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 537, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 4, 4, 4, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 538, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 4, 4, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 539, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 4, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 540, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 541, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 542, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 543, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 5 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 19 Deck , 3, beats deck , 4, with probability , -- 36 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 544, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 4, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 545, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 5, 5 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 546, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 4, 4, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 547, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 4, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 548, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 3, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 549, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 4, 4, 4, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 550, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 4, 4, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 551, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 4, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 552, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 11 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 553, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 3, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 554, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 4, 4, 4, 4, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 555, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 4, 4, 4, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 556, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 4, 4, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 557, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 4, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 2, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 558, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 23 Deck , 3, beats deck , 4, with probability , -- 36 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 559, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 11 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 560, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 561, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 5 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 562, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 5 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 563, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 5 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 564, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 5, 5 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 565, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 5, 5 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 566, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 5, 5 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 567, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 568, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 5, 5, 5 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 569, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 5, 5, 5 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 570, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 571, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 572, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 5, 5, 5, 5 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 573, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 2, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 574, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 575, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 576, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 2, 3, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 577, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 3, 3, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 578, is as follows Deck , 1, has denominations , 1, 1, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 3, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 579, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 7, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 580, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 7 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 581, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 13 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 582, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 583, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 7, 7 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 584, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 585, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 586, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/9 ------------------------------------------------------- Set Number, 587, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 7 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 588, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 8 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 589, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 6, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 590, is as follows Deck , 1, has denominations , 1, 2, 6, 6, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 591, is as follows Deck , 1, has denominations , 1, 2, 6, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 592, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 3, 3, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 593, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 3, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 594, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 4, 4, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 595, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 4, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 596, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 6 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 597, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 6, 6 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 598, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 5, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 599, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 5, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 600, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 5, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 601, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 5, 5, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 602, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 5, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 4 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 603, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 3, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 604, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 4, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 605, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 4, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 606, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 4, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 607, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 4, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 608, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 4, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 3, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 609, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 3, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 610, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 3, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 611, is as follows Deck , 1, has denominations , 1, 2, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 3, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 612, is as follows Deck , 1, has denominations , 1, 3, 3, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 4, 8 It is readily seen that 11 Deck , 1, beats deck , 2, with probability , -- 18 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/6 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 613, is as follows Deck , 1, has denominations , 1, 3, 3, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that 11 Deck , 1, beats deck , 2, with probability , -- 18 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 614, is as follows Deck , 1, has denominations , 1, 3, 3, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 4, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 5/6 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 615, is as follows Deck , 1, has denominations , 1, 3, 3, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 616, is as follows Deck , 1, has denominations , 1, 3, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 617, is as follows Deck , 1, has denominations , 1, 3, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 618, is as follows Deck , 1, has denominations , 1, 3, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 619, is as follows Deck , 1, has denominations , 1, 3, 7, 7, 7, 7 Deck , 2, has denominations , 2, 2, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that 13 Deck , 1, beats deck , 2, with probability , -- 18 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 620, is as follows Deck , 1, has denominations , 1, 3, 7, 7, 7, 7 Deck , 2, has denominations , 2, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 621, is as follows Deck , 1, has denominations , 1, 3, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 2, 5, 5, 5, 5, 5 Deck , 4, has denominations , 4, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 5/9 ------------------------------------------------------- Set Number, 622, is as follows Deck , 1, has denominations , 1, 3, 7, 7, 7, 7 Deck , 2, has denominations , 6, 6, 6, 6, 6, 6 Deck , 3, has denominations , 5, 5, 5, 5, 5, 5 Deck , 4, has denominations , 2, 4, 4, 4, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 1 Deck , 3, beats deck , 4, with probability , 2/3 19 yet Deck, 4, beats deck 1, with probability , -- 36 ------------------------------------------------------- Set Number, 623, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 7, 7 Deck , 3, has denominations , 2, 2, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 624, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 7, 8 Deck , 3, has denominations , 2, 2, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 625, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 626, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 6, 6, 6, 7 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 627, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 6, 6, 7, 7 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 628, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 6, 7, 7, 7 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 629, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 5, 5, 5, 5, 5, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 630, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 5, 5, 5, 5, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 631, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 5, 5, 5, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 632, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 5, 5, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 633, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 4 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 5, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 634, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 5 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 6, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 635, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 6 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/6 ------------------------------------------------------- Set Number, 636, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 7 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/6 ------------------------------------------------------- Set Number, 637, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 4, 8 Deck , 2, has denominations , 3, 3, 3, 3, 7, 7 Deck , 3, has denominations , 2, 2, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that 11 Deck , 1, beats deck , 2, with probability , -- 18 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 5/6 ------------------------------------------------------- Set Number, 638, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 5, 5 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 6, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 639, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 6, 6 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 640, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 7, 7 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 641, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 8, 8 Deck , 2, has denominations , 3, 3, 3, 3, 7, 7 Deck , 3, has denominations , 2, 2, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 642, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 8, 8 Deck , 2, has denominations , 3, 3, 3, 7, 7, 7 Deck , 3, has denominations , 2, 2, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 7/12 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 643, is as follows Deck , 1, has denominations , 1, 4, 4, 4, 8, 8 Deck , 2, has denominations , 3, 3, 3, 7, 7, 7 Deck , 3, has denominations , 2, 6, 6, 6, 6, 6 Deck , 4, has denominations , 5, 5, 5, 5, 5, 5 It is readily seen that Deck , 1, beats deck , 2, with probability , 7/12 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 5/6 yet Deck, 4, beats deck 1, with probability , 2/3 ------------------------------------------------------- Set Number, 644, is as follows Deck , 1, has denominations , 1, 4, 4, 5, 5, 5 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 6, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 645, is as follows Deck , 1, has denominations , 1, 4, 5, 5, 5, 5 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 6, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 646, is as follows Deck , 1, has denominations , 1, 4, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 647, is as follows Deck , 1, has denominations , 1, 4, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 648, is as follows Deck , 1, has denominations , 1, 4, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 2/3 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 649, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 4, 4, 4, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 650, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 4, 4, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 651, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 3, 3, 3, 3, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 4, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 31 yet Deck, 4, beats deck 1, with probability , -- 36 ------------------------------------------------------- Set Number, 652, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 3, 3, 3, 4, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 6, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 653, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 3, 3, 4, 4, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 6, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 654, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 3, 4, 4, 4, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 6, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 655, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 656, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 6, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 19 Deck , 3, beats deck , 4, with probability , -- 36 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 657, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 658, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 6, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 659, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 6, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 660, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 11 Deck , 3, beats deck , 4, with probability , -- 18 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 661, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 8, 8 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 662, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 663, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 664, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 665, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 6, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 666, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 667, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 668, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 669, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 670, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 671, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 6 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 672, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 673, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 674, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 7 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 675, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 31 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 676, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 677, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 13 Deck , 2, beats deck , 3, with probability , -- 18 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 678, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 3/4 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 679, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 2/3 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 680, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 4, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 6, 6, 6, 6, 6 It is readily seen that 25 Deck , 1, beats deck , 2, with probability , -- 36 Deck , 2, beats deck , 3, with probability , 7/12 Deck , 3, beats deck , 4, with probability , 7/12 31 yet Deck, 4, beats deck 1, with probability , -- 36 ------------------------------------------------------- Set Number, 681, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 682, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 683, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 6, 6 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 684, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 7, 7 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 685, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 7, 7 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 686, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 7, 7 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 687, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 3, 3, 3, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 688, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 3, 3, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 689, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 2, 2, 7, 7, 7, 7 Deck , 4, has denominations , 3, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 31 yet Deck, 4, beats deck 1, with probability , -- 36 ------------------------------------------------------- Set Number, 690, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 2, 3, 7, 7, 7, 7 Deck , 4, has denominations , 6, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 1 ------------------------------------------------------- Set Number, 691, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 3, 3, 3, 3, 3, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 8/9 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 692, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 693, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 7/9 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 694, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 3/4 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 695, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 696, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 3, 3, 3, 7, 7, 7 Deck , 4, has denominations , 2, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/12 31 yet Deck, 4, beats deck 1, with probability , -- 36 ------------------------------------------------------- Set Number, 697, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 3, 3, 7, 7, 7, 7 Deck , 4, has denominations , 2, 2, 2, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 5/6 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 698, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 3, 3, 7, 7, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 7/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 699, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 5 Deck , 2, has denominations , 4, 4, 4, 4, 8, 8 Deck , 3, has denominations , 3, 3, 7, 7, 7, 7 Deck , 4, has denominations , 2, 6, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/9 Deck , 2, beats deck , 3, with probability , 5/9 13 Deck , 3, beats deck , 4, with probability , -- 18 31 yet Deck, 4, beats deck 1, with probability , -- 36 ------------------------------------------------------- Set Number, 700, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 701, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 702, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 703, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 7 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 11 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 704, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 5, 8 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 7, 7 Deck , 4, has denominations , 2, 2, 6, 6, 6, 6 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 11 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 705, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 706, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 707, is as follows Deck , 1, has denominations , 1, 5, 5, 5, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 708, is as follows Deck , 1, has denominations , 1, 5, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 709, is as follows Deck , 1, has denominations , 1, 5, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 710, is as follows Deck , 1, has denominations , 1, 5, 5, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 711, is as follows Deck , 1, has denominations , 1, 5, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 712, is as follows Deck , 1, has denominations , 1, 5, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 713, is as follows Deck , 1, has denominations , 1, 5, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 714, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 2, 2, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 715, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 25 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 716, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 717, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 2, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 718, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 3, 3, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 719, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 25 Deck , 2, beats deck , 3, with probability , -- 36 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 720, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 721, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 3, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/9 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 722, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 5, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 723, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 4 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 5, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 724, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 725, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 726, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 4, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 727, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 728, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 729, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 4, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 730, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 731, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 732, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 4, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 733, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 734, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 735, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 4, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 736, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 3, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 737, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 738, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 4, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 739, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 2, 4, 4, 4, 8, 8 Deck , 4, has denominations , 3, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 740, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 741, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 3, 8, 8 Deck , 4, has denominations , 2, 2, 4, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 742, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 743, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 744, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 3, 4, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 745, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 746, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 747, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 3, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 748, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 749, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 2, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 750, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 3, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 ------------------------------------------------------- Set Number, 751, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 2, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 752, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 4, 8 Deck , 4, has denominations , 2, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 5/6 Deck , 3, beats deck , 4, with probability , 7/12 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 753, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 2, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 754, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 3, 3, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 2/3 yet Deck, 4, beats deck 1, with probability , 7/12 ------------------------------------------------------- Set Number, 755, is as follows Deck , 1, has denominations , 1, 6, 6, 6, 6, 6 Deck , 2, has denominations , 5, 5, 5, 5, 5, 5 Deck , 3, has denominations , 4, 4, 4, 4, 8, 8 Deck , 4, has denominations , 2, 3, 7, 7, 7, 7 It is readily seen that Deck , 1, beats deck , 2, with probability , 5/6 Deck , 2, beats deck , 3, with probability , 2/3 Deck , 3, beats deck , 4, with probability , 5/9 13 yet Deck, 4, beats deck 1, with probability , -- 18 --------------------------------------------------- --------------------------------------------------- This ends this article, that took, 2416.144, seconds to generate.