All the  Suckers's Bets Decks with, 4, decks, with deck sizes, 6, 6, 6, 6,

     using , 6,  denominations labelled from 1 to, 6

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, 1,

    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



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                         Set Number, 1, 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, 3

                 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 , 1

                Deck , 3, beats deck , 4, with probability , 2/3

               yet Deck, 4, beats deck 1, with probability , 5/9



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        This ends this article, that took, 2.293, seconds to generate.