Using Mihai Nica's Asymptotic formula to find Bob's worst counterbets (henc\ e best for Alice) for any Alice word in, {1, 2}, with , 2, letters By Shalosh B. Ekhad For the word, [1, 1] The ranked list of counterbets, and their values are [[{[1, 2], [2, 1]}, -.5000000000]] For the word, [1, 2] The ranked list of counterbets, and their values are [[{[1, 1], [2, 2]}, .5000000000]] For the word, [2, 1] The ranked list of counterbets, and their values are [[{[1, 1], [2, 2]}, .5000000000]] For the word, [2, 2] The ranked list of counterbets, and their values are [[{[1, 2], [2, 1]}, -.5000000000]] The most unfair bet is if Alice bets, [1, 2], and Bob bets any word in the set, {[1, 1], [2, 2]} `The advantage then is`, .5000000000, `that means that Pr(A>B)-Pr(B>A) with N tosees is asymptotic to`, .2820947918/N ^(1/2) ---------------------- This took, 0.470, seconds. Using Mihai Nica's Asymptotic formula to find Bob's worst counterbets (henc\ e best for Alice) for any Alice word in, {1, 2}, with , 3, letters By Shalosh B. Ekhad For the word, [1, 1, 1] The ranked list of counterbets, and their values are [[{[2, 1, 2]}, -.5000000000], [{[1, 2, 1]}, -.5773502693], [{[1, 2, 2], [2, 2, 1]}, -.8660254040], [{[1, 1, 2], [2, 1, 1]}, -1.060660172]] For the word, [1, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1]}, 1.060660172], [{[2, 2, 2]}, .8660254040], [{[1, 2, 1]}, .5000000\ 000], [{[2, 1, 2]}, .3535533905]] For the word, [1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1]}, .5773502693], [{[2, 2, 2]}, .5000000000], [{[1, 2, 2], [2, 2, 1] }, -.3535533905], [{[1, 1, 2], [2, 1, 1]}, -.5000000000]] For the word, [1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2]}, 1.060660172], [{[1, 1, 1]}, .8660254040], [{[2, 1, 2]}, .5000000\ 000], [{[1, 2, 1]}, .3535533905]] For the word, [2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1]}, 1.060660172], [{[2, 2, 2]}, .8660254040], [{[1, 2, 1]}, .5000000\ 000], [{[2, 1, 2]}, .3535533905]] For the word, [2, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2]}, .5773502693], [{[1, 1, 1]}, .5000000000], [{[1, 1, 2], [2, 1, 1] }, -.3535533905], [{[1, 2, 2], [2, 2, 1]}, -.5000000000]] For the word, [2, 2, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2]}, 1.060660172], [{[1, 1, 1]}, .8660254040], [{[2, 1, 2]}, .5000000\ 000], [{[1, 2, 1]}, .3535533905]] For the word, [2, 2, 2] The ranked list of counterbets, and their values are [[{[1, 2, 1]}, -.5000000000], [{[2, 1, 2]}, -.5773502693], [{[1, 1, 2], [2, 1, 1]}, -.8660254040], [{[1, 2, 2], [2, 2, 1]}, -1.060660172]] The most unfair bet is if Alice bets, [1, 1, 2], and Bob bets any word in the set, {[1, 1, 1]} `The advantage then is`, 1.060660172, `that means that Pr(A>B)-Pr(B>A) with N tosees is asymptotic to`, .5984134207/N ^(1/2) ---------------------- This took, 1.954, seconds. Using Mihai Nica's Asymptotic formula to find Bob's worst counterbets (henc\ e best for Alice) for any Alice word in, {1, 2}, with , 4, letters By Shalosh B. Ekhad For the word, [1, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 2, 1, 2], [2, 1, 2, 1]}, -.8838834762], [{[2, 1, 1, 2], [2, 1, 2, 2], [2 , 2, 1, 2]}, -1.060660172], [{[1, 2, 2, 1]}, -1.133893419], [{[1, 1, 2, 1], [1, 2, 1, 1]}, -1.224744872], [{[1, 2, 2, 2], [2, 2, 2, 1]}, -1.322875656], [{[1, 1 , 2, 2], [2, 2, 1, 1]}, -1.428869017], [{[1, 1, 1, 2], [2, 1, 1, 1]}, -1.750000\ 000]] For the word, [1, 1, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1]}, 1.750000000], [{[2, 2, 2, 2]}, 1.322875656], [{[1, 2, 1, 2], [2, 1, 2, 1]}, .5000000000], [{[1, 1, 2, 1], [1, 2, 1, 1]}, .3535533905], [{[1, 2, 2, 1]}, .2886751347], [{[2, 1, 1, 2], [2, 1, 2, 2], [2, 2, 1, 2]}, .25000000\ 00]] For the word, [1, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1]}, 1.224744872], [{[2, 2, 2, 2]}, 1.060660172], [{[1, 2, 1, 2]}, .2886751346], [{[2, 1, 2, 1]}, .2500000000], [{[1, 1, 2, 2], [1, 2, 2, 2], [2, 2, 2, 1]}, -.2500000000], [{[2, 2, 1, 1]}, -.2886751347], [{[1, 1, 1, 2], [2, 1 , 1, 1]}, -.3535533905]] For the word, [1, 1, 2, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1], [2, 2, 2, 2]}, 1.428869017], [{[2, 1, 2, 1]}, .5000000000], [{ [1, 2, 1, 2]}, .4472135954], [{[1, 2, 2, 1], [2, 1, 1, 2]}, .3535533905], [{[1, 2, 1, 1], [2, 2, 1, 2]}, .2886751347], [{[1, 1, 2, 1], [2, 1, 2, 2]}, .25000000\ 00]] For the word, [1, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1]}, 1.224744872], [{[2, 2, 2, 2]}, 1.060660172], [{[2, 1, 2, 1]}, .2886751346], [{[1, 2, 1, 2]}, .2500000000], [{[1, 2, 2, 2], [2, 2, 1, 1], [2, 2, 2, 1]}, -.2500000000], [{[1, 1, 2, 2]}, -.2886751347], [{[1, 1, 1, 2], [2, 1 , 1, 1]}, -.3535533905]] For the word, [1, 2, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1], [2, 2, 2, 2]}, .8838834762], [{[1, 2, 1, 1], [1, 2, 2, 1], [2, 1, 1, 2], [2, 2, 1, 2]}, -.2500000000], [{[1, 1, 2, 1], [2, 1, 2, 2]}, -.288675\ 1346], [{[1, 1, 2, 2]}, -.4472135954], [{[1, 1, 1, 2], [1, 2, 2, 2], [2, 1, 1, 1], [2, 2, 1, 1], [2, 2, 2, 1]}, -.5000000000]] For the word, [1, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1]}, 1.133893419], [{[2, 2, 2, 2]}, 1.060660172], [{[1, 2, 1, 2], [2, 1, 2, 1]}, .2500000000], [{[1, 2, 2, 2], [2, 2, 2, 1]}, -.2500000000], [{[1 , 1, 1, 2], [2, 1, 1, 1]}, -.2886751347], [{[1, 1, 2, 2], [2, 2, 1, 1]}, -.3535\ 533905]] For the word, [1, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2]}, 1.750000000], [{[1, 1, 1, 1]}, 1.322875656], [{[1, 2, 1, 2], [2, 1, 2, 1]}, .5000000000], [{[2, 1, 2, 2], [2, 2, 1, 2]}, .3535533905], [{[2, 1, 1, 2]}, .2886751347], [{[1, 1, 2, 1], [1, 2, 1, 1], [1, 2, 2, 1]}, .25000000\ 00]] For the word, [2, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1]}, 1.750000000], [{[2, 2, 2, 2]}, 1.322875656], [{[1, 2, 1, 2], [2, 1, 2, 1]}, .5000000000], [{[1, 1, 2, 1], [1, 2, 1, 1]}, .3535533905], [{[1, 2, 2, 1]}, .2886751347], [{[2, 1, 1, 2], [2, 1, 2, 2], [2, 2, 1, 2]}, .25000000\ 00]] For the word, [2, 1, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2]}, 1.133893419], [{[1, 1, 1, 1]}, 1.060660172], [{[1, 2, 1, 2], [2, 1, 2, 1]}, .2500000000], [{[1, 1, 1, 2], [2, 1, 1, 1]}, -.2500000000], [{[1 , 2, 2, 2], [2, 2, 2, 1]}, -.2886751347], [{[1, 1, 2, 2], [2, 2, 1, 1]}, -.3535\ 533905]] For the word, [2, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1], [2, 2, 2, 2]}, .8838834762], [{[1, 1, 2, 1], [1, 2, 2, 1], [2, 1, 1, 2], [2, 1, 2, 2]}, -.2500000000], [{[1, 2, 1, 1], [2, 2, 1, 2]}, -.288675\ 1346], [{[2, 2, 1, 1]}, -.4472135954], [{[1, 1, 1, 2], [1, 1, 2, 2], [1, 2, 2, 2], [2, 1, 1, 1], [2, 2, 2, 1]}, -.5000000000]] For the word, [2, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2]}, 1.224744872], [{[1, 1, 1, 1]}, 1.060660172], [{[1, 2, 1, 2]}, .2886751346], [{[2, 1, 2, 1]}, .2500000000], [{[1, 1, 1, 2], [1, 1, 2, 2], [2, 1, 1, 1]}, -.2500000000], [{[2, 2, 1, 1]}, -.2886751347], [{[1, 2, 2, 2], [2, 2 , 2, 1]}, -.3535533905]] For the word, [2, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1], [2, 2, 2, 2]}, 1.428869017], [{[1, 2, 1, 2]}, .5000000000], [{ [2, 1, 2, 1]}, .4472135954], [{[1, 2, 2, 1], [2, 1, 1, 2]}, .3535533905], [{[1, 1, 2, 1], [2, 1, 2, 2]}, .2886751347], [{[1, 2, 1, 1], [2, 2, 1, 2]}, .25000000\ 00]] For the word, [2, 2, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2]}, 1.224744872], [{[1, 1, 1, 1]}, 1.060660172], [{[2, 1, 2, 1]}, .2886751346], [{[1, 2, 1, 2]}, .2500000000], [{[1, 1, 1, 2], [2, 1, 1, 1], [2, 2, 1, 1]}, -.2500000000], [{[1, 1, 2, 2]}, -.2886751347], [{[1, 2, 2, 2], [2, 2 , 2, 1]}, -.3535533905]] For the word, [2, 2, 2, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2]}, 1.750000000], [{[1, 1, 1, 1]}, 1.322875656], [{[1, 2, 1, 2], [2, 1, 2, 1]}, .5000000000], [{[2, 1, 2, 2], [2, 2, 1, 2]}, .3535533905], [{[2, 1, 1, 2]}, .2886751347], [{[1, 1, 2, 1], [1, 2, 1, 1], [1, 2, 2, 1]}, .25000000\ 00]] For the word, [2, 2, 2, 2] The ranked list of counterbets, and their values are [[{[1, 2, 1, 2], [2, 1, 2, 1]}, -.8838834762], [{[1, 1, 2, 1], [1, 2, 1, 1], [1 , 2, 2, 1]}, -1.060660172], [{[2, 1, 1, 2]}, -1.133893419], [{[2, 1, 2, 2], [2, 2, 1, 2]}, -1.224744872], [{[1, 1, 1, 2], [2, 1, 1, 1]}, -1.322875656], [{[1, 1 , 2, 2], [2, 2, 1, 1]}, -1.428869017], [{[1, 2, 2, 2], [2, 2, 2, 1]}, -1.750000\ 000]] The most unfair bet is if Alice bets, [1, 1, 1, 2], and Bob bets any word in the set, {[1, 1, 1, 1]} `The advantage then is`, 1.750000000, `that means that Pr(A>B)-Pr(B>A) with N tosees is asymptotic to`, .9873317711/N ^(1/2) ---------------------- This took, 7.705, seconds. Using Mihai Nica's Asymptotic formula to find Bob's worst counterbets (henc\ e best for Alice) for any Alice word in, {1, 2}, with , 5, letters By Shalosh B. Ekhad For the word, [1, 1, 1, 1, 1] The ranked list of counterbets, and their values are [[{[2, 1, 2, 1, 2]}, -1.178511302], [{[1, 2, 1, 2, 1]}, -1.212678125], [{[2, 2, 1, 2, 2]}, -1.455213750], [{[1, 1, 2, 1, 1]}, -1.603567451], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2], [2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, -1.625000000], [{[2, 1, 1, 1, 2], [2, 1, 1, 2, 2], [2, 1, 2, 2, 2], [2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, -1.\ 750000000], [{[1, 2, 2, 2, 1]}, -1.807392228], [{[1, 1, 2, 2, 1], [1, 2, 2, 1, 1]}, -1.870828693], [{[1, 2, 1, 2, 2], [1, 2, 2, 2, 2], [2, 2, 1, 2, 1], [2, 2, 2, 2, 1]}, -1.936491673], [{[1, 1, 2, 1, 2], [1, 1, 2, 2, 2], [2, 1, 2, 1, 1], [2, 2, 2, 1, 1]}, -2.004459314], [{[1, 1, 1, 2, 1], [1, 2, 1, 1, 1]}, -2.020725\ 943], [{[1, 1, 1, 2, 2], [2, 2, 1, 1, 1]}, -2.165063510], [{[1, 1, 1, 1, 2], [2 , 1, 1, 1, 1]}, -2.651650429]] For the word, [1, 1, 1, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 2.651650429], [{[2, 2, 2, 2, 2]}, 1.936491673], [{[1, 2, 1 , 2, 1]}, .8333333333], [{[2, 1, 2, 1, 2]}, .7905694148], [{[1, 1, 2, 1, 1]}, .\ 6123724358], [{[2, 2, 1, 2, 2]}, .5000000001], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2], [2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .3535533905], [{[1, 1, 1, 2, 1], [1, 2, 1, 1, 1]}, .2500000000], [{[1, 1, 2, 2, 1], [1, 2, 2, 1, 1]}, .2041241452], [{[ 1, 2, 2, 2, 1]}, .1889822365], [{[2, 1, 1, 1, 2], [2, 1, 1, 2, 2], [2, 1, 2, 2, 2], [2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, .1767766952]] For the word, [1, 1, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 2.020725943], [{[2, 2, 2, 2, 2]}, 1.750000000], [{[1, 2, 1 , 2, 1]}, .7071067810], [{[2, 1, 2, 1, 2]}, .6324555320], [{[1, 1, 2, 1, 1]}, .\ 5000000000], [{[2, 2, 1, 2, 2]}, .3162277660], [{[1, 2, 1, 1, 2]}, .1889822365] , [{[2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .1767766952], [{[1, 2, 2, 1, 2]}, .16666\ 66667], [{[1, 1, 1, 2, 2], [1, 1, 2, 2, 2], [1, 2, 2, 2, 2], [2, 2, 1, 2, 1], [ 2, 2, 2, 2, 1]}, -.1767766952], [{[2, 2, 2, 1, 1]}, -.1889822365], [{[1, 2, 1, 2, 2], [2, 1, 2, 1, 1]}, -.2041241452], [{[2, 2, 1, 1, 1]}, -.2236067977], [{[1 , 1, 1, 1, 2], [1, 1, 2, 1, 2], [2, 1, 1, 1, 1]}, -.2500000000]] For the word, [1, 1, 1, 2, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 2.165063510], [{[2, 2, 2, 2, 2]}, 2.004459314], [{[1, 2, 1 , 2, 1], [2, 1, 2, 1, 2]}, .7905694148], [{[1, 1, 2, 1, 1], [2, 2, 1, 2, 2]}, .\ 5303300858], [{[1, 2, 2, 1, 2]}, .3779644731], [{[2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .3535533905], [{[1, 2, 1, 1, 2]}, .3333333334], [{[1, 1, 2, 2, 1], [2, 1, 1, 1, 2]}, .2500000000], [{[1, 2, 1, 1, 1], [1, 2, 2, 1, 1]}, .2236067977], [{[ 1, 2, 2, 2, 1]}, .2041241452], [{[2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, .1889822365 ], [{[1, 1, 1, 2, 1], [2, 1, 1, 2, 2], [2, 1, 2, 2, 2]}, .1767766952]] For the word, [1, 1, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 1.603567451], [{[2, 2, 2, 2, 2]}, 1.455213750], [{[1, 2, 1 , 2, 1]}, .3015113445], [{[2, 1, 2, 1, 2]}, .2886751347], [{[1, 2, 2, 1, 2], [2 , 1, 2, 2, 1]}, -.1581138830], [{[1, 2, 1, 1, 2], [2, 1, 1, 2, 1]}, -.250000000\ 0], [{[2, 1, 2, 2, 2], [2, 2, 2, 1, 2]}, -.3162277660], [{[1, 2, 2, 2, 1]}, -.3\ 333333334], [{[1, 1, 2, 2, 1], [1, 2, 2, 1, 1], [2, 1, 1, 2, 2], [2, 2, 1, 1, 2 ]}, -.3535533905], [{[2, 1, 1, 1, 2]}, -.4082482906], [{[1, 1, 1, 2, 1], [1, 2, 1, 1, 1]}, -.5000000000], [{[1, 2, 1, 2, 2], [1, 2, 2, 2, 2], [2, 2, 1, 2, 1], [2, 2, 2, 2, 1]}, -.5000000001], [{[1, 1, 1, 2, 2], [1, 1, 2, 1, 2], [1, 1, 2, 2, 2], [2, 1, 2, 1, 1], [2, 2, 1, 1, 1], [2, 2, 2, 1, 1]}, -.5303300858], [{[1, 1, 1, 1, 2], [2, 1, 1, 1, 1]}, -.6123724358]] For the word, [1, 1, 2, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 2.004459314], [{[2, 2, 2, 2, 2]}, 1.936491673], [{[1, 2, 1 , 2, 1]}, 1.118033988], [{[2, 1, 2, 1, 2]}, .8838834762], [{[1, 1, 2, 1, 1]}, .\ 5303300858], [{[2, 2, 1, 2, 2]}, .5000000001], [{[2, 1, 1, 2, 1]}, .5000000000] , [{[1, 2, 1, 1, 2], [2, 1, 2, 2, 1]}, .4082482906], [{[1, 2, 2, 1, 2]}, .35355\ 33905], [{[1, 1, 1, 2, 1]}, .2500000000], [{[1, 2, 1, 1, 1], [1, 2, 2, 1, 1], [ 2, 1, 1, 1, 2], [2, 1, 2, 2, 2], [2, 2, 1, 1, 2]}, .2041241452], [{[1, 2, 2, 2, 1]}, .1889822365], [{[1, 1, 2, 2, 1], [2, 1, 1, 2, 2], [2, 2, 2, 1, 2]}, .17677\ 66952]] For the word, [1, 1, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 1.870828693], [{[2, 2, 2, 2, 2]}, 1.750000000], [{[2, 1, 2 , 1, 2]}, .6324555320], [{[1, 2, 1, 2, 1]}, .6324555318], [{[1, 1, 2, 1, 1], [2 , 2, 1, 2, 2]}, .3535533905], [{[1, 2, 2, 1, 2]}, .2236067977], [{[1, 2, 1, 1, 2]}, .1889822365], [{[2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .1767766952], [{[1, 1, 2, 1, 2], [1, 1, 2, 2, 2], [1, 2, 1, 2, 2], [1, 2, 2, 2, 2], [2, 2, 2, 2, 1]}, -.1767766952], [{[2, 2, 2, 1, 1]}, -.1889822365], [{[1, 1, 1, 1, 2], [2, 1, 1, 1, 1], [2, 1, 2, 1, 1], [2, 2, 1, 2, 1]}, -.2041241452], [{[2, 2, 1, 1, 1]}, -.\ 2236067977], [{[1, 1, 1, 2, 2]}, -.2500000000]] For the word, [1, 1, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 2.165063510], [{[1, 1, 1, 1, 1]}, 2.004459314], [{[1, 2, 1 , 2, 1], [2, 1, 2, 1, 2]}, .7905694148], [{[1, 1, 2, 1, 1], [2, 2, 1, 2, 2]}, .\ 5303300858], [{[1, 2, 1, 1, 2]}, .3779644731], [{[2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .3535533905], [{[1, 2, 2, 1, 2]}, .3333333334], [{[1, 2, 2, 2, 1], [2, 1, 1, 2, 2]}, .2500000000], [{[2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, .2236067977], [{[ 2, 1, 1, 1, 2]}, .2041241452], [{[1, 2, 1, 1, 1], [1, 2, 2, 1, 1]}, .1889822365 ], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1], [2, 1, 2, 2, 2]}, .1767766952]] For the word, [1, 2, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 2.020725943], [{[2, 2, 2, 2, 2]}, 1.750000000], [{[1, 2, 1 , 2, 1]}, .7071067810], [{[2, 1, 2, 1, 2]}, .6324555320], [{[1, 1, 2, 1, 1]}, .\ 5000000000], [{[2, 2, 1, 2, 2]}, .3162277660], [{[2, 1, 1, 2, 1]}, .1889822365] , [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2]}, .1767766952], [{[2, 1, 2, 2, 1]}, .16666\ 66667], [{[1, 2, 1, 2, 2], [1, 2, 2, 2, 2], [2, 2, 1, 1, 1], [2, 2, 2, 1, 1], [ 2, 2, 2, 2, 1]}, -.1767766952], [{[1, 1, 2, 2, 2]}, -.1889822365], [{[1, 1, 2, 1, 2], [2, 2, 1, 2, 1]}, -.2041241452], [{[1, 1, 1, 2, 2]}, -.2236067977], [{[1 , 1, 1, 1, 2], [2, 1, 1, 1, 1], [2, 1, 2, 1, 1]}, -.2500000000]] For the word, [1, 2, 1, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1], [2, 2, 2, 2, 2]}, 1.625000000], [{[1, 2, 1, 2, 1]}, .530330\ 0858], [{[2, 1, 2, 1, 2]}, .4743416488], [{[1, 1, 2, 1, 1]}, .2500000000], [{[2 , 2, 1, 2, 2]}, .1581138830], [{[2, 1, 2, 2, 2]}, -.1666666667], [{[1, 2, 1, 1, 1], [1, 2, 2, 1, 1], [1, 2, 2, 2, 1], [2, 1, 1, 1, 2], [2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, -.1767766952], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1]}, -.1889822365], [ {[2, 1, 1, 2, 2]}, -.2236067977], [{[1, 1, 1, 2, 2]}, -.3333333334], [{[1, 1, 1 , 1, 2], [1, 2, 1, 2, 2], [1, 2, 2, 2, 2], [2, 1, 1, 1, 1], [2, 2, 1, 1, 1], [2 , 2, 2, 1, 1], [2, 2, 2, 2, 1]}, -.3535533905], [{[1, 1, 2, 2, 2]}, -.377964473\ 1], [{[1, 1, 2, 1, 2], [2, 2, 1, 2, 1]}, -.4082482906], [{[2, 1, 2, 1, 1]}, -.5\ 000000000]] For the word, [1, 2, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 1.212678125], [{[2, 2, 2, 2, 2]}, 1.178511302], [{[2, 2, 1 , 2, 2]}, -.2886751347], [{[1, 1, 2, 1, 1]}, -.3015113445], [{[1, 2, 2, 1, 2], [2, 1, 2, 2, 1]}, -.4743416488], [{[1, 2, 1, 1, 2], [2, 1, 1, 2, 1]}, -.5303300\ 858], [{[1, 1, 2, 2, 1], [1, 2, 2, 1, 1], [1, 2, 2, 2, 1]}, -.6324555318], [{[2 , 1, 1, 2, 2], [2, 1, 2, 2, 2], [2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, -.6324555320 ], [{[2, 1, 1, 1, 2]}, -.6666666667], [{[1, 1, 1, 2, 1], [1, 2, 1, 1, 1]}, -.70\ 71067810], [{[1, 1, 1, 2, 2], [1, 1, 2, 2, 2], [1, 2, 2, 2, 2], [2, 2, 1, 1, 1] , [2, 2, 2, 1, 1], [2, 2, 2, 2, 1]}, -.7905694148], [{[1, 1, 1, 1, 2], [2, 1, 1 , 1, 1]}, -.8333333333], [{[1, 2, 1, 2, 2], [2, 2, 1, 2, 1]}, -.8838834762], [{ [1, 1, 2, 1, 2], [2, 1, 2, 1, 1]}, -1.118033988]] For the word, [1, 2, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 2.004459314], [{[1, 1, 1, 1, 1]}, 1.936491673], [{[2, 1, 2 , 1, 2]}, 1.118033988], [{[1, 2, 1, 2, 1]}, .8838834762], [{[2, 2, 1, 2, 2]}, .\ 5303300858], [{[1, 1, 2, 1, 1]}, .5000000001], [{[2, 1, 2, 2, 1]}, .5000000000] , [{[1, 2, 2, 1, 2], [2, 1, 1, 2, 1]}, .4082482906], [{[1, 2, 1, 1, 2]}, .35355\ 33905], [{[2, 1, 2, 2, 2]}, .2500000000], [{[1, 1, 1, 2, 1], [1, 2, 2, 1, 1], [ 1, 2, 2, 2, 1], [2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, .2041241452], [{[2, 1, 1, 1, 2]}, .1889822365], [{[1, 1, 2, 2, 1], [1, 2, 1, 1, 1], [2, 1, 1, 2, 2]}, .17677\ 66952]] For the word, [1, 2, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 1.870828693], [{[2, 2, 2, 2, 2]}, 1.750000000], [{[2, 1, 2 , 1, 2]}, .6324555320], [{[1, 2, 1, 2, 1]}, .6324555318], [{[1, 1, 2, 1, 1], [2 , 2, 1, 2, 2]}, .3535533905], [{[2, 1, 2, 2, 1]}, .2236067977], [{[2, 1, 1, 2, 1]}, .1889822365], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2]}, .1767766952], [{[1, 2, 2, 2, 2], [2, 1, 2, 1, 1], [2, 2, 1, 2, 1], [2, 2, 2, 1, 1], [2, 2, 2, 2, 1]}, -.1767766952], [{[1, 1, 2, 2, 2]}, -.1889822365], [{[1, 1, 1, 1, 2], [1, 1, 2, 1, 2], [1, 2, 1, 2, 2], [2, 1, 1, 1, 1]}, -.2041241452], [{[1, 1, 1, 2, 2]}, -.\ 2236067977], [{[2, 2, 1, 1, 1]}, -.2500000000]] For the word, [1, 2, 2, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1], [2, 2, 2, 2, 2]}, 1.625000000], [{[2, 1, 2, 1, 2]}, .530330\ 0858], [{[1, 2, 1, 2, 1]}, .4743416488], [{[2, 2, 1, 2, 2]}, .2500000000], [{[1 , 1, 2, 1, 1]}, .1581138830], [{[1, 1, 1, 2, 1]}, -.1666666667], [{[1, 2, 1, 1, 1], [1, 2, 2, 1, 1], [1, 2, 2, 2, 1], [2, 1, 1, 1, 2], [2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, -.1767766952], [{[2, 1, 1, 2, 2], [2, 1, 2, 2, 2]}, -.1889822365], [ {[1, 1, 2, 2, 1]}, -.2236067977], [{[1, 1, 2, 2, 2]}, -.3333333334], [{[1, 1, 1 , 1, 2], [1, 1, 2, 1, 2], [1, 2, 2, 2, 2], [2, 1, 1, 1, 1], [2, 2, 1, 1, 1], [2 , 2, 2, 1, 1], [2, 2, 2, 2, 1]}, -.3535533905], [{[1, 1, 1, 2, 2]}, -.377964473\ 1], [{[1, 2, 1, 2, 2], [2, 1, 2, 1, 1]}, -.4082482906], [{[2, 2, 1, 2, 1]}, -.5\ 000000000]] For the word, [1, 2, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 1.807392228], [{[2, 2, 2, 2, 2]}, 1.750000000], [{[2, 1, 2 , 1, 2]}, .6666666667], [{[1, 2, 1, 2, 1]}, .6324555318], [{[2, 2, 1, 2, 2]}, .\ 4082482906], [{[1, 1, 2, 1, 1]}, .3333333334], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2], [2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .1767766952], [{[1, 2, 2, 2, 2], [2, 2, 2, 2, 1]}, -.1767766952], [{[1, 1, 1, 1, 2], [1, 1, 2, 1, 2], [2, 1, 1, 1, 1], [2, 1, 2, 1, 1]}, -.1889822365], [{[1, 1, 1, 2, 2], [1, 2, 1, 2, 2], [2, 2, 1, 1, 1], [2, 2, 1, 2, 1]}, -.2041241452], [{[1, 1, 2, 2, 2], [2, 2, 2, 1, 1]}, -.\ 2500000000]] For the word, [1, 2, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 2.651650429], [{[1, 1, 1, 1, 1]}, 1.936491673], [{[2, 1, 2 , 1, 2]}, .8333333333], [{[1, 2, 1, 2, 1]}, .7905694148], [{[2, 2, 1, 2, 2]}, .\ 6123724358], [{[1, 1, 2, 1, 1]}, .5000000001], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2], [2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .3535533905], [{[2, 1, 2, 2, 2], [2, 2, 2, 1, 2]}, .2500000000], [{[2, 1, 1, 2, 2], [2, 2, 1, 1, 2]}, .2041241452], [{[ 2, 1, 1, 1, 2]}, .1889822365], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1], [1, 2, 1, 1, 1], [1, 2, 2, 1, 1], [1, 2, 2, 2, 1]}, .1767766952]] For the word, [2, 1, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 2.651650429], [{[2, 2, 2, 2, 2]}, 1.936491673], [{[1, 2, 1 , 2, 1]}, .8333333333], [{[2, 1, 2, 1, 2]}, .7905694148], [{[1, 1, 2, 1, 1]}, .\ 6123724358], [{[2, 2, 1, 2, 2]}, .5000000001], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2], [2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .3535533905], [{[1, 1, 1, 2, 1], [1, 2, 1, 1, 1]}, .2500000000], [{[1, 1, 2, 2, 1], [1, 2, 2, 1, 1]}, .2041241452], [{[ 1, 2, 2, 2, 1]}, .1889822365], [{[2, 1, 1, 1, 2], [2, 1, 1, 2, 2], [2, 1, 2, 2, 2], [2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, .1767766952]] For the word, [2, 1, 1, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 1.807392228], [{[1, 1, 1, 1, 1]}, 1.750000000], [{[1, 2, 1 , 2, 1]}, .6666666667], [{[2, 1, 2, 1, 2]}, .6324555318], [{[1, 1, 2, 1, 1]}, .\ 4082482906], [{[2, 2, 1, 2, 2]}, .3333333334], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2], [2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .1767766952], [{[1, 1, 1, 1, 2], [2, 1, 1, 1, 1]}, -.1767766952], [{[1, 2, 1, 2, 2], [1, 2, 2, 2, 2], [2, 2, 1, 2, 1], [2, 2, 2, 2, 1]}, -.1889822365], [{[1, 1, 2, 1, 2], [1, 1, 2, 2, 2], [2, 1, 2, 1, 1], [2, 2, 2, 1, 1]}, -.2041241452], [{[1, 1, 1, 2, 2], [2, 2, 1, 1, 1]}, -.\ 2500000000]] For the word, [2, 1, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1], [2, 2, 2, 2, 2]}, 1.625000000], [{[1, 2, 1, 2, 1]}, .530330\ 0858], [{[2, 1, 2, 1, 2]}, .4743416488], [{[1, 1, 2, 1, 1]}, .2500000000], [{[2 , 2, 1, 2, 2]}, .1581138830], [{[2, 2, 2, 1, 2]}, -.1666666667], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1], [1, 2, 2, 2, 1], [2, 1, 1, 1, 2], [2, 1, 1, 2, 2], [2, 1, 2, 2, 2]}, -.1767766952], [{[1, 2, 1, 1, 1], [1, 2, 2, 1, 1]}, -.1889822365], [ {[2, 2, 1, 1, 2]}, -.2236067977], [{[2, 2, 1, 1, 1]}, -.3333333334], [{[1, 1, 1 , 1, 2], [1, 1, 1, 2, 2], [1, 1, 2, 2, 2], [1, 2, 2, 2, 2], [2, 1, 1, 1, 1], [2 , 2, 1, 2, 1], [2, 2, 2, 2, 1]}, -.3535533905], [{[2, 2, 2, 1, 1]}, -.377964473\ 1], [{[1, 2, 1, 2, 2], [2, 1, 2, 1, 1]}, -.4082482906], [{[1, 1, 2, 1, 2]}, -.5\ 000000000]] For the word, [2, 1, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 1.870828693], [{[1, 1, 1, 1, 1]}, 1.750000000], [{[1, 2, 1 , 2, 1]}, .6324555320], [{[2, 1, 2, 1, 2]}, .6324555318], [{[1, 1, 2, 1, 1], [2 , 2, 1, 2, 2]}, .3535533905], [{[1, 2, 1, 1, 2]}, .2236067977], [{[1, 2, 2, 1, 2]}, .1889822365], [{[2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .1767766952], [{[1, 1, 1, 1, 2], [1, 1, 1, 2, 2], [1, 1, 2, 1, 2], [1, 2, 1, 2, 2], [2, 1, 1, 1, 1]}, -.1767766952], [{[2, 2, 1, 1, 1]}, -.1889822365], [{[1, 2, 2, 2, 2], [2, 1, 2, 1, 1], [2, 2, 1, 2, 1], [2, 2, 2, 2, 1]}, -.2041241452], [{[2, 2, 2, 1, 1]}, -.\ 2236067977], [{[1, 1, 2, 2, 2]}, -.2500000000]] For the word, [2, 1, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 2.004459314], [{[2, 2, 2, 2, 2]}, 1.936491673], [{[1, 2, 1 , 2, 1]}, 1.118033988], [{[2, 1, 2, 1, 2]}, .8838834762], [{[1, 1, 2, 1, 1]}, .\ 5303300858], [{[2, 2, 1, 2, 2]}, .5000000001], [{[1, 2, 1, 1, 2]}, .5000000000] , [{[1, 2, 2, 1, 2], [2, 1, 1, 2, 1]}, .4082482906], [{[2, 1, 2, 2, 1]}, .35355\ 33905], [{[1, 2, 1, 1, 1]}, .2500000000], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1], [ 2, 1, 1, 1, 2], [2, 1, 1, 2, 2], [2, 2, 2, 1, 2]}, .2041241452], [{[1, 2, 2, 2, 1]}, .1889822365], [{[1, 2, 2, 1, 1], [2, 1, 2, 2, 2], [2, 2, 1, 1, 2]}, .17677\ 66952]] For the word, [2, 1, 2, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 1.212678125], [{[1, 1, 1, 1, 1]}, 1.178511302], [{[1, 1, 2 , 1, 1]}, -.2886751347], [{[2, 2, 1, 2, 2]}, -.3015113445], [{[1, 2, 1, 1, 2], [2, 1, 1, 2, 1]}, -.4743416488], [{[1, 2, 2, 1, 2], [2, 1, 2, 2, 1]}, -.5303300\ 858], [{[2, 1, 1, 1, 2], [2, 1, 1, 2, 2], [2, 2, 1, 1, 2]}, -.6324555318], [{[1 , 1, 1, 2, 1], [1, 1, 2, 2, 1], [1, 2, 1, 1, 1], [1, 2, 2, 1, 1]}, -.6324555320 ], [{[1, 2, 2, 2, 1]}, -.6666666667], [{[2, 1, 2, 2, 2], [2, 2, 2, 1, 2]}, -.70\ 71067810], [{[1, 1, 1, 1, 2], [1, 1, 1, 2, 2], [1, 1, 2, 2, 2], [2, 1, 1, 1, 1] , [2, 2, 1, 1, 1], [2, 2, 2, 1, 1]}, -.7905694148], [{[1, 2, 2, 2, 2], [2, 2, 2 , 2, 1]}, -.8333333333], [{[1, 1, 2, 1, 2], [2, 1, 2, 1, 1]}, -.8838834762], [{ [1, 2, 1, 2, 2], [2, 2, 1, 2, 1]}, -1.118033988]] For the word, [2, 1, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1], [2, 2, 2, 2, 2]}, 1.625000000], [{[2, 1, 2, 1, 2]}, .530330\ 0858], [{[1, 2, 1, 2, 1]}, .4743416488], [{[2, 2, 1, 2, 2]}, .2500000000], [{[1 , 1, 2, 1, 1]}, .1581138830], [{[1, 2, 1, 1, 1]}, -.1666666667], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1], [1, 2, 2, 2, 1], [2, 1, 1, 1, 2], [2, 1, 1, 2, 2], [2, 1, 2, 2, 2]}, -.1767766952], [{[2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, -.1889822365], [ {[1, 2, 2, 1, 1]}, -.2236067977], [{[2, 2, 2, 1, 1]}, -.3333333334], [{[1, 1, 1 , 1, 2], [1, 1, 1, 2, 2], [1, 1, 2, 2, 2], [1, 2, 2, 2, 2], [2, 1, 1, 1, 1], [2 , 1, 2, 1, 1], [2, 2, 2, 2, 1]}, -.3535533905], [{[2, 2, 1, 1, 1]}, -.377964473\ 1], [{[1, 1, 2, 1, 2], [2, 2, 1, 2, 1]}, -.4082482906], [{[1, 2, 1, 2, 2]}, -.5\ 000000000]] For the word, [2, 1, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 2.020725943], [{[1, 1, 1, 1, 1]}, 1.750000000], [{[2, 1, 2 , 1, 2]}, .7071067810], [{[1, 2, 1, 2, 1]}, .6324555320], [{[2, 2, 1, 2, 2]}, .\ 5000000000], [{[1, 1, 2, 1, 1]}, .3162277660], [{[1, 2, 2, 1, 2]}, .1889822365] , [{[2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .1767766952], [{[1, 2, 1, 1, 2]}, .16666\ 66667], [{[1, 1, 1, 1, 2], [1, 1, 1, 2, 2], [1, 1, 2, 2, 2], [2, 1, 1, 1, 1], [ 2, 1, 2, 1, 1]}, -.1767766952], [{[2, 2, 1, 1, 1]}, -.1889822365], [{[1, 1, 2, 1, 2], [2, 2, 1, 2, 1]}, -.2041241452], [{[2, 2, 2, 1, 1]}, -.2236067977], [{[1 , 2, 1, 2, 2], [1, 2, 2, 2, 2], [2, 2, 2, 2, 1]}, -.2500000000]] For the word, [2, 2, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1]}, 2.165063510], [{[2, 2, 2, 2, 2]}, 2.004459314], [{[1, 2, 1 , 2, 1], [2, 1, 2, 1, 2]}, .7905694148], [{[1, 1, 2, 1, 1], [2, 2, 1, 2, 2]}, .\ 5303300858], [{[2, 1, 2, 2, 1]}, .3779644731], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2]}, .3535533905], [{[2, 1, 1, 2, 1]}, .3333333334], [{[1, 2, 2, 1, 1], [2, 1, 1, 1, 2]}, .2500000000], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1]}, .2236067977], [{[ 1, 2, 2, 2, 1]}, .2041241452], [{[2, 1, 1, 2, 2], [2, 1, 2, 2, 2]}, .1889822365 ], [{[1, 2, 1, 1, 1], [2, 2, 1, 1, 2], [2, 2, 2, 1, 2]}, .1767766952]] For the word, [2, 2, 1, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 1.870828693], [{[1, 1, 1, 1, 1]}, 1.750000000], [{[1, 2, 1 , 2, 1]}, .6324555320], [{[2, 1, 2, 1, 2]}, .6324555318], [{[1, 1, 2, 1, 1], [2 , 2, 1, 2, 2]}, .3535533905], [{[2, 1, 1, 2, 1]}, .2236067977], [{[2, 1, 2, 2, 1]}, .1889822365], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2]}, .1767766952], [{[1, 1, 1, 1, 2], [2, 1, 1, 1, 1], [2, 1, 2, 1, 1], [2, 2, 1, 1, 1], [2, 2, 1, 2, 1]}, -.1767766952], [{[1, 1, 1, 2, 2]}, -.1889822365], [{[1, 1, 2, 1, 2], [1, 2, 1, 2, 2], [1, 2, 2, 2, 2], [2, 2, 2, 2, 1]}, -.2041241452], [{[1, 1, 2, 2, 2]}, -.\ 2236067977], [{[2, 2, 2, 1, 1]}, -.2500000000]] For the word, [2, 2, 1, 2, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 2.004459314], [{[1, 1, 1, 1, 1]}, 1.936491673], [{[2, 1, 2 , 1, 2]}, 1.118033988], [{[1, 2, 1, 2, 1]}, .8838834762], [{[2, 2, 1, 2, 2]}, .\ 5303300858], [{[1, 1, 2, 1, 1]}, .5000000001], [{[1, 2, 2, 1, 2]}, .5000000000] , [{[1, 2, 1, 1, 2], [2, 1, 2, 2, 1]}, .4082482906], [{[2, 1, 1, 2, 1]}, .35355\ 33905], [{[2, 2, 2, 1, 2]}, .2500000000], [{[1, 1, 2, 2, 1], [1, 2, 1, 1, 1], [ 1, 2, 2, 2, 1], [2, 1, 1, 2, 2], [2, 1, 2, 2, 2]}, .2041241452], [{[2, 1, 1, 1, 2]}, .1889822365], [{[1, 1, 1, 2, 1], [1, 2, 2, 1, 1], [2, 2, 1, 1, 2]}, .17677\ 66952]] For the word, [2, 2, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 1.603567451], [{[1, 1, 1, 1, 1]}, 1.455213750], [{[2, 1, 2 , 1, 2]}, .3015113445], [{[1, 2, 1, 2, 1]}, .2886751347], [{[1, 2, 1, 1, 2], [2 , 1, 1, 2, 1]}, -.1581138830], [{[1, 2, 2, 1, 2], [2, 1, 2, 2, 1]}, -.250000000\ 0], [{[1, 1, 1, 2, 1], [1, 2, 1, 1, 1]}, -.3162277660], [{[2, 1, 1, 1, 2]}, -.3\ 333333334], [{[1, 1, 2, 2, 1], [1, 2, 2, 1, 1], [2, 1, 1, 2, 2], [2, 2, 1, 1, 2 ]}, -.3535533905], [{[1, 2, 2, 2, 1]}, -.4082482906], [{[2, 1, 2, 2, 2], [2, 2, 2, 1, 2]}, -.5000000000], [{[1, 1, 1, 1, 2], [1, 1, 2, 1, 2], [2, 1, 1, 1, 1], [2, 1, 2, 1, 1]}, -.5000000001], [{[1, 1, 1, 2, 2], [1, 1, 2, 2, 2], [1, 2, 1, 2, 2], [2, 2, 1, 1, 1], [2, 2, 1, 2, 1], [2, 2, 2, 1, 1]}, -.5303300858], [{[1, 2, 2, 2, 2], [2, 2, 2, 2, 1]}, -.6123724358]] For the word, [2, 2, 2, 1, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 2.165063510], [{[1, 1, 1, 1, 1]}, 2.004459314], [{[1, 2, 1 , 2, 1], [2, 1, 2, 1, 2]}, .7905694148], [{[1, 1, 2, 1, 1], [2, 2, 1, 2, 2]}, .\ 5303300858], [{[2, 1, 1, 2, 1]}, .3779644731], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2]}, .3535533905], [{[2, 1, 2, 2, 1]}, .3333333334], [{[1, 2, 2, 2, 1], [2, 2, 1, 1, 2]}, .2500000000], [{[2, 1, 1, 2, 2], [2, 1, 2, 2, 2]}, .2236067977], [{[ 2, 1, 1, 1, 2]}, .2041241452], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1]}, .1889822365 ], [{[1, 2, 1, 1, 1], [1, 2, 2, 1, 1], [2, 2, 2, 1, 2]}, .1767766952]] For the word, [2, 2, 2, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 2.020725943], [{[1, 1, 1, 1, 1]}, 1.750000000], [{[2, 1, 2 , 1, 2]}, .7071067810], [{[1, 2, 1, 2, 1]}, .6324555320], [{[2, 2, 1, 2, 2]}, .\ 5000000000], [{[1, 1, 2, 1, 1]}, .3162277660], [{[2, 1, 2, 2, 1]}, .1889822365] , [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2]}, .1767766952], [{[2, 1, 1, 2, 1]}, .16666\ 66667], [{[1, 1, 1, 1, 2], [1, 1, 2, 1, 2], [2, 1, 1, 1, 1], [2, 2, 1, 1, 1], [ 2, 2, 2, 1, 1]}, -.1767766952], [{[1, 1, 1, 2, 2]}, -.1889822365], [{[1, 2, 1, 2, 2], [2, 1, 2, 1, 1]}, -.2041241452], [{[1, 1, 2, 2, 2]}, -.2236067977], [{[1 , 2, 2, 2, 2], [2, 2, 1, 2, 1], [2, 2, 2, 2, 1]}, -.2500000000]] For the word, [2, 2, 2, 2, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2]}, 2.651650429], [{[1, 1, 1, 1, 1]}, 1.936491673], [{[2, 1, 2 , 1, 2]}, .8333333333], [{[1, 2, 1, 2, 1]}, .7905694148], [{[2, 2, 1, 2, 2]}, .\ 6123724358], [{[1, 1, 2, 1, 1]}, .5000000001], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2], [2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, .3535533905], [{[2, 1, 2, 2, 2], [2, 2, 2, 1, 2]}, .2500000000], [{[2, 1, 1, 2, 2], [2, 2, 1, 1, 2]}, .2041241452], [{[ 2, 1, 1, 1, 2]}, .1889822365], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1], [1, 2, 1, 1, 1], [1, 2, 2, 1, 1], [1, 2, 2, 2, 1]}, .1767766952]] For the word, [2, 2, 2, 2, 2] The ranked list of counterbets, and their values are [[{[1, 2, 1, 2, 1]}, -1.178511302], [{[2, 1, 2, 1, 2]}, -1.212678125], [{[1, 1, 2, 1, 1]}, -1.455213750], [{[2, 2, 1, 2, 2]}, -1.603567451], [{[1, 2, 1, 1, 2], [1, 2, 2, 1, 2], [2, 1, 1, 2, 1], [2, 1, 2, 2, 1]}, -1.625000000], [{[1, 1, 1, 2, 1], [1, 1, 2, 2, 1], [1, 2, 1, 1, 1], [1, 2, 2, 1, 1], [1, 2, 2, 2, 1]}, -1.\ 750000000], [{[2, 1, 1, 1, 2]}, -1.807392228], [{[2, 1, 1, 2, 2], [2, 2, 1, 1, 2]}, -1.870828693], [{[1, 1, 1, 1, 2], [1, 1, 2, 1, 2], [2, 1, 1, 1, 1], [2, 1, 2, 1, 1]}, -1.936491673], [{[1, 1, 1, 2, 2], [1, 2, 1, 2, 2], [2, 2, 1, 1, 1], [2, 2, 1, 2, 1]}, -2.004459314], [{[2, 1, 2, 2, 2], [2, 2, 2, 1, 2]}, -2.020725\ 943], [{[1, 1, 2, 2, 2], [2, 2, 2, 1, 1]}, -2.165063510], [{[1, 2, 2, 2, 2], [2 , 2, 2, 2, 1]}, -2.651650429]] The most unfair bet is if Alice bets, [1, 1, 1, 1, 2], and Bob bets any word in the set, {[1, 1, 1, 1, 1]} `The advantage then is`, 2.651650429, `that means that Pr(A>B)-Pr(B>A) with N tosees is asymptotic to`, 1.496033551/N ^(1/2) ---------------------- This took, 31.558, seconds. Using Mihai Nica's Asymptotic formula to find Bob's worst counterbets (henc\ e best for Alice) for any Alice word in, {1, 2}, with , 6, letters By Shalosh B. Ekhad For the word, [1, 1, 1, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, -1.750000000], [{[2, 1, 2, 2, 1, 2] }, -2.229481607], [{[1, 2, 1, 1, 2, 1]}, -2.263009527], [{[1, 2, 2, 1, 2, 2], [ 2, 2, 1, 2, 2, 1]}, -2.350048356], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, -\ 2.386485386], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, -2\ .437087183], [{[1, 1, 2, 2, 1, 1]}, -2.556038601], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, -2.563262081], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1]}, -2.6457\ 51311], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, -2.65165\ 0429], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1]}, -2.694079\ 530], [{[1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 2 , 1, 1]}, -2.738612786], [{[1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -2.78388218\ 2], [{[1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [2, 1, 2, 2, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 1, 1]}, -2.829899880], [{[1, 1, 1, 2, 2 , 1], [1, 2, 2, 1, 1, 1]}, -2.834733546], [{[1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 1], [2, 2, 2, 1, 1, 1]}, -2.929224665], [{[1, 1, 1, 1, 2, 1 ], [1, 2, 1, 1, 1, 1]}, -3.061862179], [{[1, 1, 1, 1, 2, 2], [2, 2, 1, 1, 1, 1] }, -3.163924252], [{[1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1]}, -3.875000000]] For the word, [1, 1, 1, 1, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 3.875000000], [{[2, 2, 2, 2, 2, 2]}, 2.783882182], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, 1.118033988], [{[1, 2, 1, 1, 2, 1]}, .60\ 63390625], [{[2, 1, 2, 2, 1, 2]}, .5892556509], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .5000000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .4850712500 ], [{[1, 1, 1, 2, 1, 1]}, .4330127020], [{[1, 1, 2, 1, 1, 1]}, .4330127019], [{ [1, 1, 2, 2, 1, 1]}, .4008918626], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2 , 2, 2, 1, 2, 2]}, .3638034376], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .2\ 500000000], [{[1, 1, 1, 1, 2, 1], [1, 2, 1, 1, 1, 1]}, .1767766952], [{[1, 1, 1 , 2, 2, 1], [1, 2, 2, 1, 1, 1]}, .1443375673], [{[1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 2, 1, 1]}, .1336306209], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1]}, .1290994449], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, .1250000000]] For the word, [1, 1, 1, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 3.061862179], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.032370803], [{[2, 1, 2, 1, 2, 1]}, 1.006230590], [{[1, 2, 1, 1, 2, 1]}, .5000000000], [{[2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 1, 2, 1, 1, 2]}, .4008918626], [{[2, 1, 1, 2, 1, 1]}, .3750000000], [{[1, 1, 1, 2, 1, 1] , [1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .3535533905], [{[1, 1, 2, 1, 1, 1]}, .3162277659], [{[1, 1, 2, 2, 1, 1]}, .2500000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .2357022604], [{[1, 2, 1, 1, 1, 2]}, .1290994\ 449], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .125000000\ 0], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .1212678125], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.1250000000], [{[2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 1, 1]}, -.1290994449], [{[1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [2, 1, 2, 2, 1, 1]}, -.1336306209], [{[2, 2, 2, 1, 1, 1]}, -.1386750490], [{[1, 1, 2, 1, 2, 2], [2, 1, 2, 1, 1, 1]}, -.1443375673], [{[2, 2, 1, 1, 1, 1]}, -.1666666667], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [2, 1 , 1, 1, 1, 1]}, -.1767766952]] For the word, [1, 1, 1, 1, 2, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 3.163924252], [{[2, 2, 2, 2, 2, 2]}, 2.829899880], [{[2 , 1, 2, 1, 2, 1]}, 1.118033988], [{[1, 2, 1, 2, 1, 2]}, 1.091089451], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .5892556509], [{[1, 2, 2, 1, 2, 2], [2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .5000000000], [{[1, 1, 2, 1, 1, 2]}, .4714045206 ], [{[1, 1, 2, 2, 1, 1]}, .4330127020], [{[1, 1, 2, 1, 1, 1]}, .4008918626], [{ [1, 1, 1, 2, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]} , .3750000000], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .2581988897], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .2500000000], [{[1, 2, 1, 1, 1, 2]}, .2425356251], [{[1, 1, 1, 2, 2, 1], [2, 1, 1, 1, 1, 2]}, .1767766\ 952], [{[1, 2, 1, 1, 1, 1]}, .1666666667], [{[1, 2, 2, 1, 1, 1]}, .1507556723], [{[1, 1, 2, 2, 2, 1]}, .1443375673], [{[1, 2, 2, 2, 1, 1]}, .1386750490], [{[1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1]}, .1336306209], [{[1, 2, 1, 2, 1, 1], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, .1290\ 994449], [{[1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 2, 1], [1, 2, 1, 2, 2, 1], [2, 1, 1 , 1, 2, 2], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, .1250000000]] For the word, [1, 1, 1, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.645751311], [{[2, 2, 2, 2, 2, 2]}, 2.437087183], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, .7462025070], [{[1, 2, 1, 1, 2, 1]}, .25\ 81988897], [{[2, 1, 2, 2, 1, 2]}, .2236067977], [{[1, 1, 2, 1, 1, 2]}, .1581138\ 830], [{[2, 1, 1, 2, 1, 1]}, .1250000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2 , 1]}, .1147078669], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 2, 2, 2, 1]}, -.1178511302], [{[2, 1, 1, 2, 2, 1]}, -.1250000000], [{[1, 2, 1, 1, 1, 2]} , -.1581138830], [{[2, 1, 1, 1, 2, 1]}, -.1767766952], [{[2, 1, 2, 1, 1, 2], [2 , 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [ 2, 2, 2, 2, 1, 2]}, -.2357022604], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1 , 2, 2, 2, 2, 1]}, -.2425356251], [{[1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 2, 1, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2]}, -.2500000000], [{[1, 2, 2, 1, 1, 1], [2, 2 , 1, 1, 1, 2]}, -.2672612419], [{[2, 1, 1, 1, 1, 2]}, -.2886751347], [{[1, 2, 1 , 1, 1, 1]}, -.3162277659], [{[1, 1, 1, 1, 2, 1]}, -.3535533905], [{[1, 2, 1, 2 , 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.3638034376], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 1, 2], [1, 1, 1, 2 , 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [2, 1, 2, 2, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 1, 1]}, -.3750000000], [{[2, 1, 2, 1 , 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1]}, -.4008918626], [{[1, 2, 1, 1, 2, 2]}, -.4160251472], [{[2, 1, 1, 1, 1, 1]}, -.4330127019], [{[1, 1, 1, 1, 1, 2]}, -.4330127020]] For the word, [1, 1, 1, 2, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.929224665], [{[2, 2, 2, 2, 2, 2]}, 2.783882182], [{[1 , 2, 1, 2, 1, 2]}, 1.250000000], [{[2, 1, 2, 1, 2, 1]}, 1.178511302], [{[2, 1, 2, 2, 1, 2]}, .6250000000], [{[1, 2, 1, 1, 2, 1]}, .6063390625], [{[2, 1, 1, 2, 1, 1]}, .5000000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .4850712500], [{[1, 1, 2, 1, 1, 2]}, .4714045206], [{[1, 1, 2, 1, 1, 1]}, .4008918626], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 2, 1, 1]}, .3750000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .3638034376], [{[2, 1, 1, 1, 2, 1]}, .3535533\ 905], [{[1, 2, 1, 1, 1, 2]}, .2886751347], [{[2, 1, 2, 2, 2, 1]}, .2672612419], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 2, 2, 1]}, .2500000000], [{ [1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 2, 1]}, .1767766952], [{[1, 2, 1, 2, 1, 1]}, .\ 1581138830], [{[1, 2, 1, 2, 2, 1]}, .1507556723], [{[1, 2, 1, 1, 1, 1], [1, 2, 2, 1, 1, 1], [2, 1, 1, 1, 1, 2], [2, 2, 1, 1, 1, 2]}, .1443375673], [{[1, 2, 2, 2, 1, 1], [2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, .1336306\ 209], [{[1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1]}, .1290994449], [{[1, 1, 1, 2, 2 , 1], [1, 1, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, .1250000000 ]] For the word, [1, 1, 1, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.834733546], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.006230590], [{[1, 2, 1, 2, 1, 2]}, .9819805055], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 2, 2, 1, 2, 2]}, .4008918\ 626], [{[2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .3750000000], [{[1, 1, 2, 1, 1 , 2], [1, 1, 2, 2, 1, 1]}, .3535533905], [{[1, 1, 2, 1, 1, 1]}, .2672612419], [ {[1, 1, 1, 2, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2]}, .2500000000], [{[ 2, 2, 2, 1, 2, 2]}, .2357022604], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2]}, .1\ 386750490], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .125\ 0000000], [{[1, 2, 2, 2, 1, 2]}, .1212678125], [{[1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.125000\ 0000], [{[2, 2, 2, 2, 1, 1]}, -.1290994449], [{[2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 1]}, -.1336306209], [{[2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1]}, -.1386750490] , [{[1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1]}, -.1443375673], [{[2, 2, 1, 1, 1, 1]}, -.1507556723], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 2, 1, 2]} , -.1767766952]] For the word, [1, 1, 1, 2, 2, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.929224665], [{[2, 1, 2, 1, 2, 1]} , 1.118033988], [{[1, 2, 1, 2, 1, 2]}, 1.091089451], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .5892556509], [{[2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .5000\ 000000], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2]}, .4714045206], [{[1, 1, 2, 1 , 1, 1], [2, 2, 2, 1, 2, 2]}, .4008918626], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2]}, .3750000000], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .2773500981], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1] , [2, 1, 2, 2, 2, 1]}, .2500000000], [{[1, 2, 2, 1, 1, 2]}, .2425356251], [{[1, 1, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2]}, .1767766952], [{[1, 2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 2]}, .1507556723], [{[1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2]}, .1443375\ 673], [{[1, 2, 1, 1, 1, 1], [1, 2, 2, 1, 1, 1], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2 , 1, 2]}, .1386750490], [{[1, 2, 1, 2, 1, 1], [2, 2, 1, 2, 1, 2]}, .1290994449] , [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, .1250000000]] For the word, [1, 1, 2, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.645751311], [{[2, 2, 2, 2, 2, 2]}, 2.437087183], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, .7462025070], [{[1, 2, 1, 1, 2, 1]}, .25\ 81988897], [{[2, 1, 2, 2, 1, 2]}, .2236067977], [{[2, 1, 1, 2, 1, 1]}, .1581138\ 830], [{[1, 1, 2, 1, 1, 2]}, .1250000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2 , 1]}, .1147078669], [{[1, 2, 2, 2, 1, 2], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, -.1178511302], [{[1, 2, 2, 1, 1, 2]}, -.1250000000], [{[2, 1, 1, 1, 2, 1]} , -.1581138830], [{[1, 2, 1, 1, 1, 2]}, -.1767766952], [{[2, 1, 1, 2, 1, 2], [2 , 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 2, 1, 2], [ 2, 2, 2, 2, 1, 2]}, -.2357022604], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1 , 2, 2, 2, 2, 1]}, -.2425356251], [{[1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [2, 1, 2, 1, 1, 2], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2]}, -.2500000000], [{[1, 1, 1, 2, 2, 1], [2, 1 , 1, 1, 2, 2]}, -.2672612419], [{[2, 1, 1, 1, 1, 2]}, -.2886751347], [{[1, 1, 1 , 1, 2, 1]}, -.3162277659], [{[1, 2, 1, 1, 1, 1]}, -.3535533905], [{[1, 2, 1, 1 , 2, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.3638034376], [{[1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2 , 2, 2], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1]}, -.3750000000], [{[1, 1, 1, 1 , 2, 2], [1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2]}, -.4008918626], [{[2, 2, 1, 1, 2, 1]}, -.4160251472], [{[1, 1, 1, 1, 1, 2]}, -.4330127019], [{[2, 1, 1, 1, 1, 1]}, -.4330127020]] For the word, [1, 1, 2, 1, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.386485386], [{[2, 2, 2, 2, 2, 2]}, 2.350048356], [{[2 , 1, 2, 1, 2, 1]}, .6396021493], [{[1, 2, 1, 2, 1, 2]}, .6396021490], [{[1, 2, 1, 1, 2, 1]}, .1889822365], [{[2, 1, 2, 2, 1, 2]}, .1118033988], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, -.1147078669], [{[1, 1, 2, 1, 1 , 1], [1, 1, 2, 2, 1, 1]}, -.1250000000], [{[1, 1, 1, 2, 1, 1]}, -.1581138830], [{[1, 2, 2, 2, 1, 2], [2, 1, 2, 2, 2, 1]}, -.2357022604], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2]}, -.2500000000], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, -.2672612419], [{[1, 1, 1, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2], [2 , 1, 2, 2, 2, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 2, 1, 2]}, -.3535533905], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1]}, -.3638034376], [{[1, 1 , 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [2, 1, 1, 1, 1, 2], [2, 1, 2, 1, 1, 2], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2]}, -.3750000000], [{[1, 1, 1, 1, 2, 1], [2, 1 , 1, 2, 1, 2], [2, 1, 1, 2, 2, 2]}, -.4008918626], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2]}, -.4714045206], [{[1, 2, 1, 2, 2, 2], [1, 2, 2 , 2, 2, 2], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.4850712500], [{[1, 1, 1, 1, 1, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1]}, -.5000000000], [{[2, 2, 1, 1 , 2, 1]}, -.5547001960], [{[1, 2, 1, 1, 2, 2]}, -.6666666667]] For the word, [1, 1, 2, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.738612786], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.356801050], [{[2, 1, 2, 1, 2, 1]}, 1.125000000], [{[1, 2, 1, 1, 2, 1]}, .5773502693], [{[2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .3750000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .3535533905], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1] }, .2500000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .2357022604], [{[2, 1, 1, 1, 2, 1]}, .1443375673], [{[1, 2, 1, 1, 1, 2]}, .1386\ 750490], [{[1, 2, 2, 1, 1, 2]}, .1290994449], [{[2, 1, 1, 2, 2, 1], [2, 1, 2, 2 , 2, 1]}, .1250000000], [{[1, 2, 2, 2, 1, 2]}, .1212678125], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.1250000000], [{[2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1 ]}, -.1290994449], [{[1, 1, 1, 1, 1, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2] , [2, 1, 1, 1, 1, 1], [2, 1, 2, 2, 1, 1]}, -.1336306209], [{[2, 2, 1, 1, 2, 1]} , -.1443375673], [{[2, 1, 2, 1, 1, 1]}, -.1581138830], [{[1, 1, 1, 2, 1, 2]}, -\ .1767766952]] For the word, [1, 1, 2, 1, 2, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.829899880], [{[2, 1, 2, 1, 2, 1]} , 1.118033988], [{[1, 2, 1, 2, 1, 2]}, 1.091089451], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .6681531047], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2], [2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .5000000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .3750000000], [{[2, 1, 1, 1, 2, 1], [2, 1, 2, 2, 2, 1]}, .2886751346 ], [{[1, 2, 2, 1, 1, 2]}, .2773500981], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 2, 1, 2 ]}, .2581988897], [{[2, 1, 1, 2, 2, 1]}, .2500000000], [{[1, 2, 1, 2, 2, 1], [2 , 1, 1, 2, 1, 2]}, .1767766952], [{[1, 1, 1, 1, 2, 1], [2, 1, 2, 2, 2, 2]}, .14\ 43375673], [{[1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2]}, .1386750490], [{[1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 2, 1, 1, 2]}, .1336306209], [{[1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [2, 2, 1, 2, 1, 2], [2, 2, 2, 2, 1, 2]}, .1290994449], [{[1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2]}, .1250000000]] For the word, [1, 1, 2, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.556038601], [{[2, 2, 2, 2, 2, 2]}, 2.437087183], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, .7462025070], [{[1, 2, 1, 1, 2, 1]}, .22\ 94157339], [{[2, 1, 2, 2, 1, 2]}, .2236067977], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .1250000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .1147078669 ], [{[1, 2, 2, 2, 1, 2], [2, 1, 2, 2, 2, 1]}, -.1178511302], [{[1, 2, 1, 1, 1, 2], [2, 1, 1, 1, 2, 1]}, -.1250000000], [{[1, 2, 2, 1, 1, 2], [2, 1, 1, 2, 2, 1 ]}, -.1767766952], [{[2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 2, 1, 2] , [2, 2, 2, 2, 1, 2]}, -.2357022604], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1]}, -.2425356251], [{[1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 2, 1], [ 1, 1, 2, 2, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 2, 1, 1], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 2], [2, 2, 2, 1, 1, 2]} , -.2500000000], [{[2, 1, 1, 1, 1, 2]}, -.2672612419], [{[2, 1, 1, 1, 2, 2], [2 , 2, 1, 1, 1, 2]}, -.2886751347], [{[1, 1, 1, 2, 2, 1], [1, 2, 2, 1, 1, 1]}, -.\ 3535533905], [{[1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.3638034376], [{[1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2], [1, 1 , 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1]}, -.\ 3750000000], [{[1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1]}, -.4008918626], [{[1, 2, 1, 1, 2, 2], [2, 2, 1, 1, 2, 1]}, -.4160251472], [{[1, 1, 1, 1, 2, 2], [2, 2, 1 , 1, 1, 1]}, -.4330127020]] For the word, [1, 1, 2, 2, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.829899880], [{[2, 2, 2, 2, 2, 2]}, 2.783882182], [{[2 , 1, 2, 1, 2, 1]}, 1.178511302], [{[1, 2, 1, 2, 1, 2]}, 1.118033988], [{[1, 2, 2, 1, 2, 2]}, .6666666667], [{[2, 1, 2, 2, 1, 2]}, .6250000000], [{[1, 2, 1, 1, 2, 1]}, .6063390625], [{[2, 2, 1, 2, 2, 1]}, .5547001960], [{[1, 1, 2, 1, 1, 2] , [2, 1, 1, 2, 1, 1]}, .5000000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2]}, .4160251472], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .3\ 750000000], [{[2, 2, 2, 1, 2, 2]}, .3638034376], [{[2, 1, 1, 2, 2, 1]}, .353553\ 3905], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [2, 1, 2, 2, 2, 1]}, .26726124\ 19], [{[1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1]}, .2500000000], [{[1, 2, 2, 1, 2, 1]}, .1889822365], [{[1, 1, 1, 2, 2, 1]}, .1767766952], [{[2, 1, 1, 1, 2, 2], [ 2, 1, 2, 1, 1, 2], [2, 2, 1, 2, 1, 2]}, .1443375673], [{[1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [2, 1, 1, 1, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2]}, .1\ 336306209], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 2, 2, 1]}, .1290994449], [{[1, 1, 1 , 1, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 2, 2, 2, 1, 2]}, .1250000000]] For the word, [1, 1, 2, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.738612786], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.006230590], [{[1, 2, 1, 2, 1, 2]}, .9819805055], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .3750000000], [{[1, 2, 2, 1, 2, 2]}, .3535533905 ], [{[2, 2, 1, 1, 2, 2]}, .2886751347], [{[2, 2, 2, 1, 2, 2]}, .2672612419], [{ [1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 1, 2, 2, 2]} , .2500000000], [{[1, 2, 2, 2, 1, 2]}, .1666666667], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2]}, .1290994449], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .1250000000], [{[1, 1, 1, 2, 1, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 1]}, -.1250000000], [{[2, 2, 2, 2, 1, 1]}, -.1290994449], [{[1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 1]}, -.1336306209], [{[2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1]}, -.1386750490] , [{[1, 1, 1, 1, 2, 2], [1, 2, 1, 1, 2, 2], [2, 2, 2, 1, 2, 1]}, -.1443375673], [{[2, 2, 2, 1, 1, 1]}, -.1507556723], [{[1, 1, 1, 2, 2, 2]}, -.1767766952]] For the word, [1, 1, 2, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 3.163924252], [{[1, 1, 1, 1, 1, 1]}, 2.829899880], [{[2 , 1, 2, 1, 2, 1]}, 1.118033988], [{[1, 2, 1, 2, 1, 2]}, 1.091089451], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .5892556509], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .5000000000], [{[1, 2, 2, 1, 2, 2]}, .4714045206 ], [{[2, 2, 1, 1, 2, 2]}, .4330127020], [{[2, 2, 2, 1, 2, 2]}, .4008918626], [{ [1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 1, 2, 2, 2]} , .3750000000], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2]}, .2581988897], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .2500000000], [{[1, 2, 2, 2, 1, 2]}, .2425356251], [{[1, 2, 2, 2, 2, 1], [2, 1, 1, 2, 2, 2]}, .1767766\ 952], [{[2, 2, 2, 2, 1, 2]}, .1666666667], [{[2, 2, 2, 1, 1, 2]}, .1507556723], [{[2, 1, 1, 1, 2, 2]}, .1443375673], [{[2, 2, 1, 1, 1, 2]}, .1386750490], [{[2, 1, 1, 1, 1, 2], [2, 1, 2, 1, 1, 2]}, .1336306209], [{[1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [2, 2, 1, 2, 1, 2]}, .1290\ 994449], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2 , 2, 2, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, .1250000000]] For the word, [1, 2, 1, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 3.061862179], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.032370803], [{[1, 2, 1, 2, 1, 2]}, 1.006230590], [{[1, 2, 1, 1, 2, 1]}, .5000000000], [{[2, 1, 2, 2, 1, 2]}, .4714045206], [{[2, 1, 1, 2, 1, 1]}, .4008918626], [{[1, 1, 2, 1, 1, 2]}, .3750000000], [{[1, 1, 2, 1, 1, 1] , [1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .3535533905], [{[1, 1, 1, 2, 1, 1]}, .3162277659], [{[1, 1, 2, 2, 1, 1]}, .2500000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .2357022604], [{[2, 1, 1, 1, 2, 1]}, .1290994\ 449], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .125000000\ 0], [{[2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .1212678125], [{[1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.1250000000], [{[1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2]}, -.1290994449], [{[1, 1, 2, 2, 1, 2], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1]}, -.1336306209], [{[1, 1, 1, 2, 2, 2]}, -.1386750490], [{[1, 1, 1, 2, 1, 2], [2, 2, 1, 2, 1, 1]}, -.1443375673], [{[1, 1, 1, 1, 2, 2]}, -.1666666667], [{[1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1 , 2, 1, 1, 1]}, -.1767766952]] For the word, [1, 2, 1, 1, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.563262081], [{[2, 1, 2, 1, 2, 1]} , .9176629356], [{[1, 2, 1, 2, 1, 2]}, .8944271908], [{[1, 2, 1, 1, 2, 1]}, .37\ 50000000], [{[2, 1, 2, 2, 1, 2]}, .3535533905], [{[2, 1, 1, 2, 1, 1]}, .2672612\ 419], [{[1, 1, 2, 1, 1, 2]}, .2500000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2 , 1]}, .2357022604], [{[1, 1, 2, 1, 1, 1]}, .1767766952], [{[1, 1, 1, 2, 1, 1]} , .1581138830], [{[1, 1, 2, 2, 1, 1]}, .1250000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .1178511302], [{[2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, -.1212678125], [{[1, 2, 1, 1, 1, 1], [1, 2, 1 , 2, 2, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, -.1250000000], [{[1, 1, 1 , 1, 2, 1], [1, 1, 2, 2, 2, 1]}, -.1290994449], [{[1, 2, 2, 1, 2, 1]}, -.133630\ 6209], [{[1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1]}, -.1386750490], [{[1, 2, 1, 2, 1, 1]}, -.1443375673], [{[2, 1, 1, 1, 2, 2]}, -.1666666667], [{[1, 1, 1, 1, 2, 2]}, -.2425356251], [{[1, 1, 1, 1, 1, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2 ], [1, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.2500000000], [{[1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2]}, -.2581988897], [{[1, 1, 2, 2, 1, 2], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1]}, -.2672612419], [{[1, 1, 1, 2, 2, 2]}, -.2773500981], [{[2, 2, 1, 2, 1, 1]}, -.2886751346], [{[1, 1, 1, 2, 1, 2]}, -.2\ 886751347], [{[2, 1, 2, 1, 1, 1]}, -.3535533905]] For the word, [1, 2, 1, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.263009527], [{[2, 2, 2, 2, 2, 2]}, 2.229481607], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, .5590169942], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, -.1118033988], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, -.18\ 89822365], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, -.223\ 6067977], [{[1, 1, 2, 2, 1, 1]}, -.2294157339], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1]}, -.2581988897], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 2 , 2, 1], [2, 1, 2, 2, 2, 1]}, -.3535533905], [{[1, 2, 1, 1, 1, 2], [2, 1, 1, 1, 2, 1]}, -.3750000000], [{[1, 1, 1, 2, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 2, 1, 1 , 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, -.4714045206], [{[2, 1, 1, 1, 1 , 2]}, -.4850712500], [{[1, 1, 1, 1, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1]}, -.5000000000], [{[1, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 1 ]}, -.5773502693], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 2, 2, 2] , [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1 ], [2, 2, 2, 2, 2, 1]}, -.5892556509], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2] , [1, 1, 2, 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1 ]}, -.6063390625], [{[1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [2, 2, 1, 1, 2, 1] , [2, 2, 2, 1, 2, 1]}, -.6250000000], [{[2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2]} , -.6666666667], [{[1, 1, 2, 1, 2, 2], [2, 2, 1, 2, 1, 1]}, -.6681531047]] For the word, [1, 2, 1, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.829899880], [{[1, 1, 1, 1, 1, 1]}, 2.783882182], [{[2 , 1, 2, 1, 2, 1]}, 1.178511302], [{[1, 2, 1, 2, 1, 2]}, 1.118033988], [{[1, 1, 2, 1, 1, 2]}, .6666666667], [{[1, 2, 1, 1, 2, 1]}, .6250000000], [{[2, 1, 2, 2, 1, 2]}, .6063390625], [{[2, 1, 1, 2, 1, 1]}, .5547001960], [{[1, 2, 2, 1, 2, 2] , [2, 2, 1, 2, 2, 1]}, .5000000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 2, 1, 1]}, .4160251472], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .3\ 750000000], [{[1, 1, 2, 1, 1, 1]}, .3638034376], [{[2, 1, 1, 2, 2, 1]}, .353553\ 3905], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1]}, .26726124\ 19], [{[1, 2, 1, 1, 1, 2], [2, 1, 2, 2, 2, 1]}, .2500000000], [{[2, 1, 2, 1, 1, 2]}, .1889822365], [{[2, 1, 1, 2, 2, 2]}, .1767766952], [{[1, 1, 2, 2, 2, 1], [ 1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 2, 1]}, .1443375673], [{[1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 2, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, .1\ 336306209], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2]}, .1290994449], [{[1, 1, 1 , 2, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, .1250000000]] For the word, [1, 2, 1, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.738612786], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.356801050], [{[1, 2, 1, 2, 1, 2]}, 1.125000000], [{[1, 2, 1, 1, 2, 1]}, .5773502693], [{[2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .3750000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .3535533905], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1] }, .2500000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .2357022604], [{[1, 2, 1, 1, 1, 2]}, .1443375673], [{[2, 1, 1, 1, 2, 1]}, .1386\ 750490], [{[2, 1, 1, 2, 2, 1]}, .1290994449], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2 , 1, 2]}, .1250000000], [{[2, 1, 2, 2, 2, 1]}, .1212678125], [{[1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.1250000000], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2 ]}, -.1290994449], [{[1, 1, 1, 1, 1, 2], [1, 1, 2, 2, 1, 2], [2, 1, 1, 1, 1, 1] , [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1]}, -.1336306209], [{[1, 2, 1, 1, 2, 2]} , -.1443375673], [{[1, 1, 1, 2, 1, 2]}, -.1581138830], [{[2, 1, 2, 1, 1, 1]}, -\ .1767766952]] For the word, [1, 2, 1, 2, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 1.750000000], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, -.5590169942], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2]}, -.6396021490], [{[2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, -.6396021493], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, -.7462025070], [{[2, 1, 1, 2, 2, 1]}, -.87\ 28715611], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, -.894\ 4271908], [{[2, 1, 1, 1, 2, 1], [2, 1, 2, 2, 2, 1]}, -.9176629356], [{[1, 1, 1, 2, 2, 1], [1, 1, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2]}, -.981980\ 5055], [{[1, 2, 1, 1, 1, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, -1.006230590], [{[1, 1, 1, 1, 2, 1], [2, 1, 2, 2, 2, 2]}, -1.0323708\ 03], [{[1, 2, 2, 1, 2, 1], [2, 1, 2, 1, 1, 2]}, -1.060660172], [{[1, 1, 1, 1, 2 , 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2]}, -1.091089451 ], [{[1, 1, 1, 1, 1, 2], [1, 1, 2, 2, 1, 2], [1, 2, 1, 1, 2, 2], [1, 2, 2, 2, 2 , 2], [2, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -1.118033988], [{[1, 2, 1, 2, 1 , 1], [1, 2, 1, 2, 2, 1], [2, 1, 1, 2, 1, 2], [2, 2, 1, 2, 1, 2]}, -1.125000000 ], [{[2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2 , 1]}, -1.178511302], [{[1, 1, 1, 2, 1, 2], [1, 2, 1, 2, 2, 2]}, -1.250000000], [{[1, 1, 2, 1, 2, 1], [2, 1, 2, 1, 2, 2]}, -1.356801050]] For the word, [1, 2, 1, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.694079530], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.125000000], [{[2, 1, 2, 1, 2, 1]}, 1.060660172], [{[2, 1, 2, 2, 1, 2]}, .6666666667], [{[1, 2, 1, 1, 2, 1]}, .5000000000], [{[1, 2, 2, 1, 2, 2]}, .4008918626], [{[2, 2, 1, 2, 2, 1]}, .3750000000], [{[1, 1, 2, 1, 1, 2] , [2, 1, 1, 2, 1, 1]}, .3638034376], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2]}, .2500000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .2\ 425356251], [{[2, 2, 2, 1, 2, 2]}, .2357022604], [{[1, 2, 2, 1, 1, 2]}, .144337\ 5673], [{[2, 1, 1, 1, 2, 1]}, .1336306209], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .1250000000], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.1250000000], [{[1, 1, 1, 1, 1, 2], [1, 1, 2, 2, 1, 2], [2, 1, 1, 1, 1, 1 ], [2, 1, 2, 1, 1, 1]}, -.1290994449], [{[2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1] , [2, 2, 2, 1, 2, 1]}, -.1336306209], [{[2, 2, 1, 1, 2, 1]}, -.1443375673], [{[ 1, 1, 1, 2, 1, 2]}, -.1507556723], [{[1, 1, 2, 1, 2, 2]}, -.1767766952], [{[2, 1, 2, 2, 1, 1]}, -.1889822365]] For the word, [1, 2, 1, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.929224665], [{[1, 1, 1, 1, 1, 1]}, 2.783882182], [{[1 , 2, 1, 2, 1, 2]}, 1.250000000], [{[2, 1, 2, 1, 2, 1]}, 1.178511302], [{[1, 2, 1, 1, 2, 1]}, .6250000000], [{[2, 1, 2, 2, 1, 2]}, .6063390625], [{[2, 2, 1, 2, 2, 1]}, .5000000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .4850712500], [{[1, 2, 2, 1, 2, 2]}, .4714045206], [{[2, 2, 2, 1, 2, 2]}, .4008918626], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2]}, .3750000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .3638034376], [{[2, 1, 2, 2, 2, 1]}, .3535533\ 905], [{[1, 2, 2, 2, 1, 2]}, .2886751347], [{[2, 1, 1, 1, 2, 1]}, .2672612419], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [2, 1, 1, 2, 2, 1]}, .2500000000], [{ [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, .1767766952], [{[2, 2, 1, 2, 1, 2]}, .\ 1581138830], [{[2, 1, 1, 2, 1, 2]}, .1507556723], [{[1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, .1443375673], [{[1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 2, 1], [1, 2, 2, 1, 2, 1], [2, 2, 1, 1, 1, 2]}, .1336306\ 209], [{[2, 1, 1, 1, 1, 2], [2, 1, 2, 1, 1, 2]}, .1290994449], [{[1, 1, 1, 2, 2 , 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 1, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2]}, .1250000000 ]] For the word, [1, 2, 2, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.834733546], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.006230590], [{[2, 1, 2, 1, 2, 1]}, .9819805055], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .4714045206], [{[2, 2, 1, 2, 2, 1]}, .4008918\ 626], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2]}, .3750000000], [{[1, 1, 2, 2, 1 , 1], [2, 1, 1, 2, 1, 1]}, .3535533905], [{[1, 1, 1, 2, 1, 1]}, .2672612419], [ {[1, 1, 2, 1, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 2, 1, 2, 2]}, .2500000000], [{[ 2, 2, 1, 2, 2, 2]}, .2357022604], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, .1\ 386750490], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .125\ 0000000], [{[2, 1, 2, 2, 2, 1]}, .1212678125], [{[1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 1, 2, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.125000\ 0000], [{[1, 1, 2, 2, 2, 2]}, -.1290994449], [{[1, 1, 2, 2, 1, 2], [1, 2, 1, 1, 2, 2]}, -.1336306209], [{[1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2]}, -.1386750490] , [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [2, 1, 1, 1, 1, 1]}, -.1443375673], [{[1, 1, 1, 1, 2, 2]}, -.1507556723], [{[2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1]} , -.1767766952]] For the word, [1, 2, 2, 1, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.563262081], [{[1, 2, 1, 2, 1, 2]} , .8944271908], [{[2, 1, 2, 1, 2, 1]}, .8728715611], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .3535533905], [{[2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .2672\ 612419], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2]}, .2500000000], [{[1, 1, 2, 2 , 1, 1], [2, 2, 1, 1, 2, 2]}, .1767766952], [{[1, 1, 2, 1, 1, 1], [2, 2, 2, 1, 2, 2]}, .1250000000], [{[1, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 2]}, .1178511302], [{[1, 1, 1, 1, 2, 1], [2, 1, 2, 2, 2, 2]}, -.1212678125], [{[1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 2, 1, 1, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, -.1250000000], [{[ 1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2]}, -.1290994449], [{[1, 1, 1, 2, 2, 1], [2, 1, 1, 2, 2, 2]}, -.1386750490], [{[1, 2, 1, 2, 2, 1], [2, 1, 1, 2, 1, 2]}, -.1443375673], [{[1, 1, 1, 2, 2, 2]}, -.24\ 25356251], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.2500000000], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 2, 2, 2]}, -.25819\ 88897], [{[1, 1, 2, 2, 1, 2], [1, 2, 1, 1, 2, 2]}, -.2672612419], [{[1, 1, 2, 1 , 2, 2]}, -.2773500981], [{[2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 1]}, -.353553390\ 5]] For the word, [1, 2, 2, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.694079530], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.125000000], [{[1, 2, 1, 2, 1, 2]}, 1.060660172], [{[2, 1, 2, 2, 1, 2]}, .6666666667], [{[1, 2, 1, 1, 2, 1]}, .5000000000], [{[2, 2, 1, 2, 2, 1]}, .4008918626], [{[1, 2, 2, 1, 2, 2]}, .3750000000], [{[1, 1, 2, 1, 1, 2] , [2, 1, 1, 2, 1, 1]}, .3638034376], [{[2, 2, 1, 1, 2, 2], [2, 2, 2, 1, 2, 2]}, .2500000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .2\ 425356251], [{[2, 2, 1, 2, 2, 2]}, .2357022604], [{[2, 1, 1, 2, 2, 1]}, .144337\ 5673], [{[1, 2, 1, 1, 1, 2]}, .1336306209], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 2, 2, 2, 1]}, .1250000000], [{[1, 1, 1, 2, 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.1250000000], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [2, 1, 1, 1, 1, 1 ], [2, 1, 2, 2, 1, 1]}, -.1290994449], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 1, 2, 2] , [1, 2, 1, 2, 2, 2]}, -.1336306209], [{[1, 2, 1, 1, 2, 2]}, -.1443375673], [{[ 2, 1, 2, 1, 1, 1]}, -.1507556723], [{[2, 2, 1, 2, 1, 1]}, -.1767766952], [{[1, 1, 2, 2, 1, 2]}, -.1889822365]] For the word, [1, 2, 2, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.386485386], [{[1, 1, 1, 1, 1, 1]}, 2.350048356], [{[2 , 1, 2, 1, 2, 1]}, .6396021493], [{[1, 2, 1, 2, 1, 2]}, .6396021490], [{[2, 1, 2, 2, 1, 2]}, .1889822365], [{[1, 2, 1, 1, 2, 1]}, .1118033988], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, -.1147078669], [{[2, 2, 1, 1, 2 , 2], [2, 2, 2, 1, 2, 2]}, -.1250000000], [{[2, 2, 1, 2, 2, 2]}, -.1581138830], [{[1, 2, 1, 1, 1, 2], [2, 1, 1, 1, 2, 1]}, -.2357022604], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, -.2500000000], [{[2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, -.2672612419], [{[1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1 , 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [2, 1, 1, 2, 2, 2]}, -.3535533905], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2]}, -.3638034376], [{[1, 2 , 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, -.3750000000], [{[1, 1, 1, 2, 2, 1], [1, 2 , 1, 2, 2, 1], [2, 1, 2, 2, 2, 2]}, -.4008918626], [{[1, 1, 1, 2, 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 2, 2, 2]}, -.4714045206], [{[1, 1, 1, 1, 1, 2], [1, 1, 1 , 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1]}, -.4850712500], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 1, 2, 2], [1, 2, 1, 1, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.5000000000], [{[2, 1, 2, 2 , 1, 1]}, -.5547001960], [{[1, 1, 2, 2, 1, 2]}, -.6666666667]] For the word, [1, 2, 2, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.738612786], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.006230590], [{[2, 1, 2, 1, 2, 1]}, .9819805055], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2], [2, 1, 1, 2, 1, 1]}, .3750000000], [{[2, 2, 1, 2, 2, 1]}, .3535533905 ], [{[2, 2, 1, 1, 2, 2]}, .2886751347], [{[2, 2, 1, 2, 2, 2]}, .2672612419], [{ [1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 2, 1, 2, 2]} , .2500000000], [{[2, 1, 2, 2, 2, 1]}, .1666666667], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, .1290994449], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .1250000000], [{[1, 2, 2, 2, 2, 2], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.1250000000], [{[1, 1, 2, 2, 2, 2]}, -.1290994449], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [1, 2, 1, 1, 2, 2], [2, 1, 1, 1, 1, 1]}, -.1336306209], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 1, 2, 2]}, -.1386750490] , [{[1, 2, 1, 2, 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1]}, -.1443375673], [{[1, 1, 1, 2, 2, 2]}, -.1507556723], [{[2, 2, 2, 1, 1, 1]}, -.1767766952]] For the word, [1, 2, 2, 2, 1, 2] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.563262081], [{[2, 1, 2, 1, 2, 1]} , .9176629356], [{[1, 2, 1, 2, 1, 2]}, .8944271908], [{[2, 1, 2, 2, 1, 2]}, .37\ 50000000], [{[1, 2, 1, 1, 2, 1]}, .3535533905], [{[2, 2, 1, 2, 2, 1]}, .2672612\ 419], [{[1, 2, 2, 1, 2, 2]}, .2500000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1 , 1]}, .2357022604], [{[2, 2, 2, 1, 2, 2]}, .1767766952], [{[2, 2, 1, 2, 2, 2]} , .1581138830], [{[2, 2, 1, 1, 2, 2]}, .1250000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .1178511302], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1]}, -.1212678125], [{[1, 2, 1, 1, 1, 1], [1, 2, 1 , 2, 1, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, -.1250000000], [{[2, 1, 1 , 1, 2, 2], [2, 1, 2, 2, 2, 2]}, -.1290994449], [{[2, 1, 2, 1, 1, 2]}, -.133630\ 6209], [{[2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2]}, -.1386750490], [{[2, 2, 1, 2, 1, 2]}, -.1443375673], [{[1, 1, 2, 2, 2, 1]}, -.1666666667], [{[1, 1, 2, 2, 2, 2]}, -.2425356251], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2 ], [1, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.2500000000], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 1, 2, 2]}, -.2581988897], [{[1, 2, 1, 1, 2, 2], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1]}, -.2672612419], [{[1, 1, 1, 2, 2, 2]}, -.2773500981], [{[2, 2, 1, 2, 1, 1]}, -.2886751346], [{[1, 2, 1, 2, 2, 2]}, -.2\ 886751347], [{[2, 2, 2, 1, 2, 1]}, -.3535533905]] For the word, [1, 2, 2, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.694079530], [{[2, 2, 2, 2, 2, 2]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, 1.006230590], [{[2, 1, 2, 2, 1, 2]}, .48\ 50712500], [{[1, 2, 1, 1, 2, 1]}, .4714045206], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .3750000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .3638034376 ], [{[2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .2886751347], [{[2, 2, 1, 1, 2, 2 ]}, .2672612419], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]} , .2425356251], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [ 2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .1250000000], [{[1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 1]}, -.1250000000], [{[1, 1, 1, 1, 1, 2], [1, 1 , 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1]}, -.1290994449], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 1, 2, 2], [1, 2 , 1, 1, 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1]}, -.1\ 336306209], [{[1, 1, 1, 2, 2, 2], [1, 2, 1, 2, 2, 2], [2, 2, 2, 1, 1, 1], [2, 2 , 2, 1, 2, 1]}, -.1443375673], [{[1, 1, 2, 2, 2, 2], [2, 2, 2, 2, 1, 1]}, -.176\ 7766952]] For the word, [1, 2, 2, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 3.875000000], [{[1, 1, 1, 1, 1, 1]}, 2.783882182], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, 1.118033988], [{[2, 1, 2, 2, 1, 2]}, .60\ 63390625], [{[1, 2, 1, 1, 2, 1]}, .5892556509], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .5000000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .4850712500 ], [{[2, 2, 1, 2, 2, 2]}, .4330127020], [{[2, 2, 2, 1, 2, 2]}, .4330127019], [{ [2, 2, 1, 1, 2, 2]}, .4008918626], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1 , 1, 2, 2, 1, 1]}, .3638034376], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .2\ 500000000], [{[2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 1, 2]}, .1767766952], [{[2, 1, 1 , 2, 2, 2], [2, 2, 2, 1, 1, 2]}, .1443375673], [{[2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2]}, .1336306209], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2]}, .1290994449], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1]}, .1250000000]] For the word, [2, 1, 1, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 3.875000000], [{[2, 2, 2, 2, 2, 2]}, 2.783882182], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, 1.118033988], [{[1, 2, 1, 1, 2, 1]}, .60\ 63390625], [{[2, 1, 2, 2, 1, 2]}, .5892556509], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .5000000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .4850712500 ], [{[1, 1, 2, 1, 1, 1]}, .4330127020], [{[1, 1, 1, 2, 1, 1]}, .4330127019], [{ [1, 1, 2, 2, 1, 1]}, .4008918626], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2 , 2, 2, 1, 2, 2]}, .3638034376], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .2\ 500000000], [{[1, 1, 1, 1, 2, 1], [1, 2, 1, 1, 1, 1]}, .1767766952], [{[1, 1, 1 , 2, 2, 1], [1, 2, 2, 1, 1, 1]}, .1443375673], [{[1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 2, 1, 1]}, .1336306209], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1]}, .1290994449], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, .1250000000]] For the word, [2, 1, 1, 1, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.694079530], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, 1.006230590], [{[1, 2, 1, 1, 2, 1]}, .48\ 50712500], [{[2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .3750000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .3638034376 ], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1]}, .2886751347], [{[1, 1, 2, 2, 1, 1 ]}, .2672612419], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]} , .2425356251], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [ 2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .1250000000], [{[1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1]}, -.1250000000], [{[1, 2, 1, 1, 2, 2], [1, 2 , 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.1290994449], [{[1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1 , 2, 2, 2, 2], [2, 1, 2, 2, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 1, 1]}, -.1\ 336306209], [{[1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 1], [2, 2 , 2, 1, 1, 1]}, -.1443375673], [{[1, 1, 1, 1, 2, 2], [2, 2, 1, 1, 1, 1]}, -.176\ 7766952]] For the word, [2, 1, 1, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.563262081], [{[1, 2, 1, 2, 1, 2]} , .9176629356], [{[2, 1, 2, 1, 2, 1]}, .8944271908], [{[1, 2, 1, 1, 2, 1]}, .37\ 50000000], [{[2, 1, 2, 2, 1, 2]}, .3535533905], [{[1, 1, 2, 1, 1, 2]}, .2672612\ 419], [{[2, 1, 1, 2, 1, 1]}, .2500000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2 , 1]}, .2357022604], [{[1, 1, 1, 2, 1, 1]}, .1767766952], [{[1, 1, 2, 1, 1, 1]} , .1581138830], [{[1, 1, 2, 2, 1, 1]}, .1250000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .1178511302], [{[2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, -.1212678125], [{[1, 1, 1, 1, 2, 1], [1, 1, 1 , 2, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, -.1250000000], [{[1, 2, 1 , 1, 1, 1], [1, 2, 2, 2, 1, 1]}, -.1290994449], [{[1, 2, 1, 2, 2, 1]}, -.133630\ 6209], [{[1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1]}, -.1386750490], [{[1, 1, 2, 1, 2, 1]}, -.1443375673], [{[2, 2, 1, 1, 1, 2]}, -.1666666667], [{[2, 2, 1, 1, 1, 1]}, -.2425356251], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2 ], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.2500000000], [{[2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 1, 1]}, -.2581988897], [{[1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [2, 1, 2, 2, 1, 1]}, -.2672612419], [{[2, 2, 2, 1, 1, 1]}, -.2773500981], [{[1, 1, 2, 1, 2, 2]}, -.2886751346], [{[2, 1, 2, 1, 1, 1]}, -.2\ 886751347], [{[1, 1, 1, 2, 1, 2]}, -.3535533905]] For the word, [2, 1, 1, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.738612786], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.006230590], [{[1, 2, 1, 2, 1, 2]}, .9819805055], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 2, 2, 1, 2, 2], [2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .3750000000], [{[1, 1, 2, 1, 1, 2]}, .3535533905 ], [{[1, 1, 2, 2, 1, 1]}, .2886751347], [{[1, 1, 2, 1, 1, 1]}, .2672612419], [{ [1, 1, 1, 2, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]} , .2500000000], [{[1, 2, 1, 1, 1, 2]}, .1666666667], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .1290994449], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .1250000000], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 1, 2], [1, 1, 2, 1, 2, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [2, 1, 1, 1, 1, 1]}, -.1250000000], [{[2, 2, 1, 1, 1, 1]}, -.1290994449], [{[1, 2, 2, 2, 2, 2], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.1336306209], [{[2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 1, 1]}, -.1386750490] , [{[1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [2, 1, 2, 1, 1, 1]}, -.1443375673], [{[2, 2, 2, 1, 1, 1]}, -.1507556723], [{[1, 1, 1, 2, 2, 2]}, -.1767766952]] For the word, [2, 1, 1, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.386485386], [{[2, 2, 2, 2, 2, 2]}, 2.350048356], [{[1 , 2, 1, 2, 1, 2]}, .6396021493], [{[2, 1, 2, 1, 2, 1]}, .6396021490], [{[1, 2, 1, 1, 2, 1]}, .1889822365], [{[2, 1, 2, 2, 1, 2]}, .1118033988], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, -.1147078669], [{[1, 1, 1, 2, 1 , 1], [1, 1, 2, 2, 1, 1]}, -.1250000000], [{[1, 1, 2, 1, 1, 1]}, -.1581138830], [{[1, 2, 2, 2, 1, 2], [2, 1, 2, 2, 2, 1]}, -.2357022604], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, -.2500000000], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2]}, -.2672612419], [{[1, 2, 2, 1, 1, 1], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2 , 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 2, 1, 2]}, -.3535533905], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1]}, -.3638034376], [{[1, 1 , 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 2, 1, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2]}, -.3750000000], [{[1, 2, 1, 1, 1, 1], [2, 1 , 2, 1, 1, 2], [2, 2, 2, 1, 1, 2]}, -.4008918626], [{[2, 1, 2, 1, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1]}, -.4714045206], [{[1, 2, 1, 2, 2, 2], [1, 2, 2 , 2, 2, 2], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.4850712500], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 1, 1]}, -.5000000000], [{[1, 2, 1, 1 , 2, 2]}, -.5547001960], [{[2, 2, 1, 1, 2, 1]}, -.6666666667]] For the word, [2, 1, 1, 2, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.694079530], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.125000000], [{[2, 1, 2, 1, 2, 1]}, 1.060660172], [{[1, 2, 1, 1, 2, 1]}, .6666666667], [{[2, 1, 2, 2, 1, 2]}, .5000000000], [{[1, 1, 2, 1, 1, 2]}, .4008918626], [{[2, 1, 1, 2, 1, 1]}, .3750000000], [{[1, 2, 2, 1, 2, 2] , [2, 2, 1, 2, 2, 1]}, .3638034376], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 2, 1, 1]}, .2500000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .2\ 425356251], [{[1, 1, 2, 1, 1, 1]}, .2357022604], [{[1, 2, 2, 1, 1, 2]}, .144337\ 5673], [{[2, 1, 2, 2, 2, 1]}, .1336306209], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, .1250000000], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 2, 1, 2], [1, 1, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1]}, -.1250000000], [{[1, 2, 1, 1, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 2, 1 ], [2, 2, 2, 2, 2, 1]}, -.1290994449], [{[2, 1, 2, 1, 1, 1], [2, 2, 1, 2, 1, 1] , [2, 2, 2, 2, 1, 1]}, -.1336306209], [{[2, 1, 2, 2, 1, 1]}, -.1443375673], [{[ 1, 2, 1, 2, 2, 2]}, -.1507556723], [{[1, 1, 2, 1, 2, 2]}, -.1767766952], [{[2, 2, 1, 1, 2, 1]}, -.1889822365]] For the word, [2, 1, 1, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.563262081], [{[2, 1, 2, 1, 2, 1]} , .8944271908], [{[1, 2, 1, 2, 1, 2]}, .8728715611], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .3535533905], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2]}, .2672\ 612419], [{[2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .2500000000], [{[1, 1, 2, 2 , 1, 1], [2, 2, 1, 1, 2, 2]}, .1767766952], [{[1, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 2]}, .1250000000], [{[1, 1, 2, 1, 1, 1], [2, 2, 2, 1, 2, 2]}, .1178511302], [{[1, 2, 1, 1, 1, 1], [2, 2, 2, 2, 1, 2]}, -.1212678125], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 1, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, -.1250000000], [{[ 1, 2, 1, 2, 1, 1], [1, 2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2]}, -.1290994449], [{[1, 2, 2, 1, 1, 1], [2, 2, 2, 1, 1, 2]}, -.1386750490], [{[1, 2, 2, 1, 2, 1], [2, 1, 2, 1, 1, 2]}, -.1443375673], [{[2, 2, 2, 1, 1, 1]}, -.24\ 25356251], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.2500000000], [{[2, 2, 1, 1, 1, 1], [2, 2, 2, 2, 1, 1]}, -.25819\ 88897], [{[2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 1]}, -.2672612419], [{[2, 2, 1, 2 , 1, 1]}, -.2773500981], [{[1, 1, 2, 2, 1, 2], [1, 2, 1, 1, 2, 2]}, -.353553390\ 5]] For the word, [2, 1, 1, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.834733546], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.006230590], [{[1, 2, 1, 2, 1, 2]}, .9819805055], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 1, 2, 1, 1, 2]}, .4008918\ 626], [{[2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .3750000000], [{[1, 2, 2, 1, 2 , 2], [2, 2, 1, 1, 2, 2]}, .3535533905], [{[2, 2, 2, 1, 2, 2]}, .2672612419], [ {[1, 1, 1, 2, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 1, 2, 2, 2]}, .2500000000], [{[ 1, 1, 2, 1, 1, 1]}, .2357022604], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .1\ 386750490], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .125\ 0000000], [{[1, 2, 1, 1, 1, 2]}, .1212678125], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 1, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 1, 2], [1, 2, 1, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1]}, -.125000\ 0000], [{[2, 2, 1, 1, 1, 1]}, -.1290994449], [{[2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 1]}, -.1336306209], [{[2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1]}, -.1386750490] , [{[1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.1443375673], [{[2, 2, 2, 2, 1, 1]}, -.1507556723], [{[1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 2]} , -.1767766952]] For the word, [2, 1, 2, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.929224665], [{[2, 2, 2, 2, 2, 2]}, 2.783882182], [{[2 , 1, 2, 1, 2, 1]}, 1.250000000], [{[1, 2, 1, 2, 1, 2]}, 1.178511302], [{[2, 1, 2, 2, 1, 2]}, .6250000000], [{[1, 2, 1, 1, 2, 1]}, .6063390625], [{[1, 1, 2, 1, 1, 2]}, .5000000000], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .4850712500], [{[2, 1, 1, 2, 1, 1]}, .4714045206], [{[1, 1, 1, 2, 1, 1]}, .4008918626], [{[1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .3750000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .3638034376], [{[1, 2, 1, 1, 1, 2]}, .3535533\ 905], [{[2, 1, 1, 1, 2, 1]}, .2886751347], [{[1, 2, 2, 2, 1, 2]}, .2672612419], [{[1, 2, 2, 1, 1, 2], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .2500000000], [{ [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1]}, .1767766952], [{[1, 1, 2, 1, 2, 1]}, .\ 1581138830], [{[1, 2, 2, 1, 2, 1]}, .1507556723], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2]}, .1443375673], [{[1, 1, 2, 2, 2, 1], [2, 1, 1, 2, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 2, 1, 2]}, .1336306\ 209], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 2, 2, 1]}, .1290994449], [{[1, 2, 2, 1, 1 , 1], [1, 2, 2, 2, 1, 1], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2]}, .1250000000 ]] For the word, [2, 1, 2, 1, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.694079530], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.125000000], [{[1, 2, 1, 2, 1, 2]}, 1.060660172], [{[1, 2, 1, 1, 2, 1]}, .6666666667], [{[2, 1, 2, 2, 1, 2]}, .5000000000], [{[2, 1, 1, 2, 1, 1]}, .4008918626], [{[1, 1, 2, 1, 1, 2]}, .3750000000], [{[1, 2, 2, 1, 2, 2] , [2, 2, 1, 2, 2, 1]}, .3638034376], [{[1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .2500000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .2\ 425356251], [{[1, 1, 1, 2, 1, 1]}, .2357022604], [{[2, 1, 1, 2, 2, 1]}, .144337\ 5673], [{[1, 2, 2, 2, 1, 2]}, .1336306209], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 2, 2, 2, 1]}, .1250000000], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1]}, -.1250000000], [{[1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 2, 1 ], [2, 2, 2, 2, 2, 1]}, -.1290994449], [{[1, 1, 1, 2, 1, 2], [1, 1, 2, 1, 2, 2] , [1, 1, 2, 2, 2, 2]}, -.1336306209], [{[1, 1, 2, 2, 1, 2]}, -.1443375673], [{[ 2, 2, 2, 1, 2, 1]}, -.1507556723], [{[2, 2, 1, 2, 1, 1]}, -.1767766952], [{[1, 2, 1, 1, 2, 2]}, -.1889822365]] For the word, [2, 1, 2, 1, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 1.750000000], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, -.5590169942], [{[2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, -.6396021490], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2]}, -.6396021493], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, -.7462025070], [{[1, 2, 2, 1, 1, 2]}, -.87\ 28715611], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, -.894\ 4271908], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, -.9176629356], [{[1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2]}, -.981980\ 5055], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 2, 2, 2]}, -1.006230590], [{[1, 2, 1, 1, 1, 1], [2, 2, 2, 2, 1, 2]}, -1.0323708\ 03], [{[1, 2, 1, 2, 2, 1], [2, 1, 1, 2, 1, 2]}, -1.060660172], [{[2, 2, 1, 1, 1 , 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1]}, -1.091089451 ], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2 , 2], [1, 1, 2, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -1.118033988], [{[1, 1, 2, 1, 2 , 1], [1, 2, 2, 1, 2, 1], [2, 1, 2, 1, 1, 2], [2, 1, 2, 1, 2, 2]}, -1.125000000 ], [{[1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2 , 2]}, -1.178511302], [{[2, 1, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1]}, -1.250000000], [{[1, 2, 1, 2, 1, 1], [2, 2, 1, 2, 1, 2]}, -1.356801050]] For the word, [2, 1, 2, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.738612786], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.356801050], [{[2, 1, 2, 1, 2, 1]}, 1.125000000], [{[2, 1, 2, 2, 1, 2]}, .5773502693], [{[1, 2, 1, 1, 2, 1]}, .4714045206], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .3750000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .3535533905], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2] }, .2500000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .2357022604], [{[2, 1, 2, 2, 2, 1]}, .1443375673], [{[1, 2, 2, 2, 1, 2]}, .1386\ 750490], [{[1, 2, 2, 1, 1, 2]}, .1290994449], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2 , 2, 1]}, .1250000000], [{[1, 2, 1, 1, 1, 2]}, .1212678125], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1]}, -.1250000000], [{[2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1 ]}, -.1290994449], [{[1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [1, 2, 2, 2, 2, 2] , [2, 2, 1, 1, 2, 1], [2, 2, 2, 2, 2, 1]}, -.1336306209], [{[2, 1, 2, 2, 1, 1]} , -.1443375673], [{[2, 2, 2, 1, 2, 1]}, -.1581138830], [{[1, 2, 1, 2, 2, 2]}, -\ .1767766952]] For the word, [2, 1, 2, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 2.829899880], [{[2, 2, 2, 2, 2, 2]}, 2.783882182], [{[1 , 2, 1, 2, 1, 2]}, 1.178511302], [{[2, 1, 2, 1, 2, 1]}, 1.118033988], [{[2, 2, 1, 2, 2, 1]}, .6666666667], [{[2, 1, 2, 2, 1, 2]}, .6250000000], [{[1, 2, 1, 1, 2, 1]}, .6063390625], [{[1, 2, 2, 1, 2, 2]}, .5547001960], [{[1, 1, 2, 1, 1, 2] , [2, 1, 1, 2, 1, 1]}, .5000000000], [{[2, 2, 1, 1, 2, 2], [2, 2, 2, 1, 2, 2]}, .4160251472], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .3\ 750000000], [{[2, 2, 1, 2, 2, 2]}, .3638034376], [{[1, 2, 2, 1, 1, 2]}, .353553\ 3905], [{[1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, .26726124\ 19], [{[1, 2, 1, 1, 1, 2], [2, 1, 2, 2, 2, 1]}, .2500000000], [{[1, 2, 1, 2, 2, 1]}, .1889822365], [{[1, 2, 2, 1, 1, 1]}, .1767766952], [{[2, 1, 1, 2, 1, 2], [ 2, 1, 2, 1, 2, 2], [2, 2, 1, 1, 1, 2]}, .1443375673], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 2, 1, 2]}, .1\ 336306209], [{[1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1]}, .1290994449], [{[1, 2, 1 , 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 2, 1, 1], [2, 1, 2, 1, 1, 2], [2, 1, 2, 2, 2, 2], [2, 2, 2, 1, 1, 2]}, .1250000000]] For the word, [2, 1, 2, 2, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.263009527], [{[1, 1, 1, 1, 1, 1]}, 2.229481607], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, .5590169942], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, -.1118033988], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, -.18\ 89822365], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, -.223\ 6067977], [{[2, 2, 1, 1, 2, 2]}, -.2294157339], [{[2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, -.2581988897], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [2, 1, 1, 1 , 2, 1], [2, 1, 1, 2, 2, 1]}, -.3535533905], [{[1, 2, 2, 2, 1, 2], [2, 1, 2, 2, 2, 1]}, -.3750000000], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2 , 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2]}, -.4714045206], [{[1, 2, 2, 2, 2 , 1]}, -.4850712500], [{[2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2], [2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 1, 2]}, -.5000000000], [{[2, 1, 2, 1, 2, 2], [2, 2, 1, 2, 1, 2 ]}, -.5773502693], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2] , [1, 1, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 2, 1, 1, 1 ], [2, 2, 2, 2, 1, 1]}, -.5892556509], [{[1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2] , [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 2, 1 ]}, -.6063390625], [{[1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [2, 1, 2, 1, 1, 1] , [2, 1, 2, 2, 1, 1]}, -.6250000000], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1]} , -.6666666667], [{[1, 1, 2, 1, 2, 2], [2, 2, 1, 2, 1, 1]}, -.6681531047]] For the word, [2, 1, 2, 2, 2, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.563262081], [{[1, 2, 1, 2, 1, 2]} , .9176629356], [{[2, 1, 2, 1, 2, 1]}, .8944271908], [{[2, 1, 2, 2, 1, 2]}, .37\ 50000000], [{[1, 2, 1, 1, 2, 1]}, .3535533905], [{[1, 2, 2, 1, 2, 2]}, .2672612\ 419], [{[2, 2, 1, 2, 2, 1]}, .2500000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1 , 1]}, .2357022604], [{[2, 2, 1, 2, 2, 2]}, .1767766952], [{[2, 2, 2, 1, 2, 2]} , .1581138830], [{[2, 2, 1, 1, 2, 2]}, .1250000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .1178511302], [{[1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1]}, -.1212678125], [{[1, 1, 1, 1, 2, 1], [1, 1, 1 , 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 1, 2], [2, 1, 2, 2, 2, 2]}, -.1250000000], [{[2, 2, 1 , 1, 1, 2], [2, 2, 2, 2, 1, 2]}, -.1290994449], [{[2, 1, 1, 2, 1, 2]}, -.133630\ 6209], [{[2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2]}, -.1386750490], [{[2, 1, 2, 1, 2, 2]}, -.1443375673], [{[1, 2, 2, 2, 1, 1]}, -.1666666667], [{[2, 2, 2, 2, 1, 1]}, -.2425356251], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2 ], [1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 2], [1, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.2500000000], [{[2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1]}, -.2581988897], [{[1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [2, 2, 1, 1, 2, 1]}, -.2672612419], [{[2, 2, 2, 1, 1, 1]}, -.2773500981], [{[1, 1, 2, 1, 2, 2]}, -.2886751346], [{[2, 2, 2, 1, 2, 1]}, -.2\ 886751347], [{[1, 2, 1, 2, 2, 2]}, -.3535533905]] For the word, [2, 1, 2, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 3.061862179], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.032370803], [{[2, 1, 2, 1, 2, 1]}, 1.006230590], [{[2, 1, 2, 2, 1, 2]}, .5000000000], [{[1, 2, 1, 1, 2, 1]}, .4714045206], [{[1, 2, 2, 1, 2, 2]}, .4008918626], [{[2, 2, 1, 2, 2, 1]}, .3750000000], [{[1, 1, 2, 1, 1, 2] , [2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 2]}, .3535533905], [{[2, 2, 2, 1, 2, 2]}, .3162277659], [{[2, 2, 1, 1, 2, 2]}, .2500000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .2357022604], [{[1, 2, 2, 2, 1, 2]}, .1290994\ 449], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .125000000\ 0], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2]}, .1212678125], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1]}, -.1250000000], [{[2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1]}, -.1290994449], [{[1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [2, 2, 1, 1, 2, 1]}, -.1336306209], [{[2, 2, 2, 1, 1, 1]}, -.1386750490], [{[1, 1, 2, 1, 2, 2], [2, 2, 2, 1, 2, 1]}, -.1443375673], [{[2, 2, 2, 2, 1, 1]}, -.1666666667], [{[1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2 , 2, 2, 2, 1]}, -.1767766952]] For the word, [2, 2, 1, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1]}, 3.163924252], [{[2, 2, 2, 2, 2, 2]}, 2.829899880], [{[1 , 2, 1, 2, 1, 2]}, 1.118033988], [{[2, 1, 2, 1, 2, 1]}, 1.091089451], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .5892556509], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .5000000000], [{[2, 1, 1, 2, 1, 1]}, .4714045206 ], [{[1, 1, 2, 2, 1, 1]}, .4330127020], [{[1, 1, 1, 2, 1, 1]}, .4008918626], [{ [1, 1, 2, 1, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]} , .3750000000], [{[2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .2581988897], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .2500000000], [{[2, 1, 1, 1, 2, 1]}, .2425356251], [{[1, 2, 2, 1, 1, 1], [2, 1, 1, 1, 1, 2]}, .1767766\ 952], [{[1, 1, 1, 1, 2, 1]}, .1666666667], [{[1, 1, 1, 2, 2, 1]}, .1507556723], [{[1, 2, 2, 2, 1, 1]}, .1443375673], [{[1, 1, 2, 2, 2, 1]}, .1386750490], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 2, 2, 1]}, .1336306209], [{[1, 1, 2, 1, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, .1290\ 994449], [{[1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 2, 1], [2, 1, 1 , 2, 1, 2], [2, 1, 2, 1, 1, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, .1250000000]] For the word, [2, 2, 1, 1, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.738612786], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.006230590], [{[2, 1, 2, 1, 2, 1]}, .9819805055], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .4714045206], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .3750000000], [{[2, 1, 1, 2, 1, 1]}, .3535533905 ], [{[1, 1, 2, 2, 1, 1]}, .2886751347], [{[1, 1, 1, 2, 1, 1]}, .2672612419], [{ [1, 1, 2, 1, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]} , .2500000000], [{[2, 1, 1, 1, 2, 1]}, .1666666667], [{[2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .1290994449], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .1250000000], [{[1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 2, 1]}, -.1250000000], [{[1, 1, 1, 1, 2, 2]}, -.1290994449], [{[1, 1, 2, 2, 1, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 1]}, -.1336306209], [{[1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2]}, -.1386750490] , [{[1, 1, 1, 2, 1, 2], [2, 1, 2, 2, 1, 1], [2, 2, 2, 2, 1, 1]}, -.1443375673], [{[1, 1, 1, 2, 2, 2]}, -.1507556723], [{[2, 2, 2, 1, 1, 1]}, -.1767766952]] For the word, [2, 2, 1, 1, 2, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.829899880], [{[1, 1, 1, 1, 1, 1]}, 2.783882182], [{[1 , 2, 1, 2, 1, 2]}, 1.178511302], [{[2, 1, 2, 1, 2, 1]}, 1.118033988], [{[2, 1, 1, 2, 1, 1]}, .6666666667], [{[1, 2, 1, 1, 2, 1]}, .6250000000], [{[2, 1, 2, 2, 1, 2]}, .6063390625], [{[1, 1, 2, 1, 1, 2]}, .5547001960], [{[1, 2, 2, 1, 2, 2] , [2, 2, 1, 2, 2, 1]}, .5000000000], [{[1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .4160251472], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .3\ 750000000], [{[1, 1, 1, 2, 1, 1]}, .3638034376], [{[1, 2, 2, 1, 1, 2]}, .353553\ 3905], [{[1, 2, 1, 1, 1, 2], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .26726124\ 19], [{[1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1]}, .2500000000], [{[2, 1, 1, 2, 1, 2]}, .1889822365], [{[2, 2, 2, 1, 1, 2]}, .1767766952], [{[1, 1, 2, 1, 2, 1], [ 1, 2, 1, 2, 2, 1], [1, 2, 2, 2, 1, 1]}, .1443375673], [{[1, 1, 1, 2, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, .1\ 336306209], [{[2, 1, 1, 1, 1, 2], [2, 1, 2, 1, 1, 2]}, .1290994449], [{[1, 1, 1 , 1, 2, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 2, 1, 2]}, .1250000000]] For the word, [2, 2, 1, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.556038601], [{[1, 1, 1, 1, 1, 1]}, 2.437087183], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, .7462025070], [{[2, 1, 2, 2, 1, 2]}, .22\ 94157339], [{[1, 2, 1, 1, 2, 1]}, .2236067977], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .1250000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .1147078669 ], [{[1, 2, 1, 1, 1, 2], [2, 1, 1, 1, 2, 1]}, -.1178511302], [{[1, 2, 2, 2, 1, 2], [2, 1, 2, 2, 2, 1]}, -.1250000000], [{[1, 2, 2, 1, 1, 2], [2, 1, 1, 2, 2, 1 ]}, -.1767766952], [{[1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 2, 1], [1, 2, 1, 1, 1, 1] , [1, 2, 1, 2, 1, 1]}, -.2357022604], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2]}, -.2425356251], [{[1, 1, 1, 2, 2, 1], [1, 2, 1, 2, 2, 1], [ 1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 2, 1, 2]} , -.2500000000], [{[1, 2, 2, 2, 2, 1]}, -.2672612419], [{[1, 1, 2, 2, 2, 1], [1 , 2, 2, 2, 1, 1]}, -.2886751347], [{[2, 1, 1, 2, 2, 2], [2, 2, 2, 1, 1, 2]}, -.\ 3535533905], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1]}, -.3638034376], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1 , 2, 1, 2, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1]}, -.\ 3750000000], [{[1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 1]}, -.4008918626], [{[1, 1, 2, 2, 1, 2], [2, 1, 2, 2, 1, 1]}, -.4160251472], [{[1, 1, 2, 2, 2, 2], [2, 2, 2 , 2, 1, 1]}, -.4330127020]] For the word, [2, 2, 1, 2, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.829899880], [{[1, 2, 1, 2, 1, 2]} , 1.118033988], [{[2, 1, 2, 1, 2, 1]}, 1.091089451], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .6681531047], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2], [2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .5000000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, .3750000000], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .2886751346 ], [{[2, 1, 1, 2, 2, 1]}, .2773500981], [{[2, 1, 1, 1, 2, 1], [2, 1, 2, 2, 2, 1 ]}, .2581988897], [{[1, 2, 2, 1, 1, 2]}, .2500000000], [{[1, 2, 2, 1, 2, 1], [2 , 1, 2, 1, 1, 2]}, .1767766952], [{[1, 2, 1, 1, 1, 1], [2, 2, 2, 2, 1, 2]}, .14\ 43375673], [{[1, 1, 1, 2, 2, 1], [1, 1, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2]}, .1386750490], [{[1, 2, 1, 2, 2, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2]}, .1336306209], [{[1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 2, 1], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2]}, .1290994449], [{[1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2]}, .1250000000]] For the word, [2, 2, 1, 2, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.738612786], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.356801050], [{[1, 2, 1, 2, 1, 2]}, 1.125000000], [{[2, 1, 2, 2, 1, 2]}, .5773502693], [{[1, 2, 1, 1, 2, 1]}, .4714045206], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .3750000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .3535533905], [{[2, 2, 1, 1, 2, 2], [2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2] }, .2500000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .2357022604], [{[1, 2, 2, 2, 1, 2]}, .1443375673], [{[2, 1, 2, 2, 2, 1]}, .1386\ 750490], [{[2, 1, 1, 2, 2, 1]}, .1290994449], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1 , 1, 2]}, .1250000000], [{[2, 1, 1, 1, 2, 1]}, .1212678125], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1]}, -.1250000000], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2 ]}, -.1290994449], [{[1, 2, 1, 1, 2, 2], [1, 2, 2, 2, 2, 2], [2, 1, 2, 1, 1, 1] , [2, 1, 2, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.1336306209], [{[1, 1, 2, 2, 1, 2]} , -.1443375673], [{[1, 2, 1, 2, 2, 2]}, -.1581138830], [{[2, 2, 2, 1, 2, 1]}, -\ .1767766952]] For the word, [2, 2, 1, 2, 2, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.386485386], [{[1, 1, 1, 1, 1, 1]}, 2.350048356], [{[1 , 2, 1, 2, 1, 2]}, .6396021493], [{[2, 1, 2, 1, 2, 1]}, .6396021490], [{[2, 1, 2, 2, 1, 2]}, .1889822365], [{[1, 2, 1, 1, 2, 1]}, .1118033988], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, -.1147078669], [{[2, 2, 1, 1, 2 , 2], [2, 2, 1, 2, 2, 2]}, -.1250000000], [{[2, 2, 2, 1, 2, 2]}, -.1581138830], [{[1, 2, 1, 1, 1, 2], [2, 1, 1, 1, 2, 1]}, -.2357022604], [{[2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, -.2500000000], [{[1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, -.2672612419], [{[1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 2, 1], [1, 2, 1, 1, 1, 1], [1 , 2, 1, 2, 1, 1], [1, 2, 2, 2, 1, 1], [2, 2, 2, 1, 1, 2]}, -.3535533905], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2]}, -.3638034376], [{[1, 1 , 1, 2, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2], [2, 1, 2, 2, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2]}, -.3750000000], [{[1, 2, 2, 1, 1, 1], [1, 2 , 2, 1, 2, 1], [2, 2, 2, 2, 1, 2]}, -.4008918626], [{[2, 2, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 1, 1]}, -.4714045206], [{[1, 1, 1, 1, 1, 2], [1, 1, 1 , 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1]}, -.4850712500], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 2, 2, 1]}, -.5000000000], [{[1, 1, 2, 2 , 1, 2]}, -.5547001960], [{[2, 1, 2, 2, 1, 1]}, -.6666666667]] For the word, [2, 2, 1, 2, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.645751311], [{[1, 1, 1, 1, 1, 1]}, 2.437087183], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, .7462025070], [{[2, 1, 2, 2, 1, 2]}, .25\ 81988897], [{[1, 2, 1, 1, 2, 1]}, .2236067977], [{[1, 2, 2, 1, 2, 2]}, .1581138\ 830], [{[2, 2, 1, 2, 2, 1]}, .1250000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1 , 1]}, .1147078669], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [2, 1, 1, 1, 2, 1]}, -.1178511302], [{[2, 1, 1, 2, 2, 1]}, -.1250000000], [{[1, 2, 2, 2, 1, 2]} , -.1581138830], [{[2, 1, 2, 2, 2, 1]}, -.1767766952], [{[1, 1, 1, 1, 2, 1], [1 , 1, 2, 1, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 2, 1, 1, 1], [ 1, 2, 2, 1, 2, 1]}, -.2357022604], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2 , 1, 2, 1, 1, 2]}, -.2425356251], [{[1, 1, 1, 2, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 2, 2, 1], [2, 1, 1, 1, 2, 2], [2, 1, 1, 2, 2, 2], [2, 1, 2, 1, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2]}, -.2500000000], [{[1, 2, 2, 2, 1, 1], [2, 2 , 2, 1, 1, 2]}, -.2672612419], [{[1, 2, 2, 2, 2, 1]}, -.2886751347], [{[2, 2, 2 , 2, 1, 2]}, -.3162277659], [{[2, 1, 2, 2, 2, 2]}, -.3535533905], [{[1, 1, 1, 1 , 1, 2], [1, 1, 1, 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1]}, -.3638034376], [{[1, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2], [1, 1, 2, 1 , 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 2], [1, 2, 1, 2, 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1]}, -.3750000000], [{[2, 2, 2, 1 , 1, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 1, 1]}, -.4008918626], [{[1, 1, 2, 2, 1, 2]}, -.4160251472], [{[2, 2, 2, 2, 2, 1]}, -.4330127019], [{[1, 2, 2, 2, 2, 2]}, -.4330127020]] For the word, [2, 2, 2, 1, 1, 1] The ranked list of counterbets, and their values are [[{[1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2]}, 2.929224665], [{[1, 2, 1, 2, 1, 2]} , 1.118033988], [{[2, 1, 2, 1, 2, 1]}, 1.091089451], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .5892556509], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2]}, .5000\ 000000], [{[2, 1, 1, 2, 1, 1], [2, 2, 1, 2, 2, 1]}, .4714045206], [{[1, 1, 1, 2 , 1, 1], [2, 2, 1, 2, 2, 2]}, .4008918626], [{[1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 1, 1, 2, 2], [2, 2, 2, 1, 2, 2]}, .3750000000], [{[2, 1, 1, 1, 2, 1], [2, 1, 2, 2, 2, 1]}, .2773500981], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2] , [1, 2, 2, 2, 1, 2]}, .2500000000], [{[2, 1, 1, 2, 2, 1]}, .2425356251], [{[1, 2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 2]}, .1767766952], [{[1, 1, 2, 2, 2, 1], [2, 1, 1, 1, 2, 2]}, .1507556723], [{[1, 2, 2, 2, 2, 1], [2, 1, 1, 1, 1, 2]}, .1443375\ 673], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [2, 1, 1, 2, 2, 2], [2, 1, 2, 2 , 2, 2]}, .1386750490], [{[1, 1, 2, 1, 2, 1], [2, 1, 2, 1, 2, 2]}, .1290994449] , [{[1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2], [2, 2, 2, 2, 1, 2]}, .1250000000]] For the word, [2, 2, 2, 1, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.834733546], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[1 , 2, 1, 2, 1, 2]}, 1.006230590], [{[2, 1, 2, 1, 2, 1]}, .9819805055], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .4714045206], [{[2, 1, 1, 2, 1, 1]}, .4008918\ 626], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2]}, .3750000000], [{[2, 2, 1, 1, 2 , 2], [2, 2, 1, 2, 2, 1]}, .3535533905], [{[2, 2, 1, 2, 2, 2]}, .2672612419], [ {[1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 2, 1, 2, 2]}, .2500000000], [{[ 1, 1, 1, 2, 1, 1]}, .2357022604], [{[2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .1\ 386750490], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .125\ 0000000], [{[2, 1, 1, 1, 2, 1]}, .1212678125], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1]}, -.125000\ 0000], [{[1, 1, 1, 1, 2, 2]}, -.1290994449], [{[1, 1, 2, 2, 1, 2], [1, 2, 1, 1, 2, 2]}, -.1336306209], [{[1, 1, 1, 2, 2, 2], [1, 1, 2, 1, 2, 2]}, -.1386750490] , [{[1, 2, 1, 2, 2, 2], [1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 1]}, -.1443375673], [{[1, 1, 2, 2, 2, 2]}, -.1507556723], [{[2, 2, 1, 1, 2, 1], [2, 2, 2, 2, 1, 1]} , -.1767766952]] For the word, [2, 2, 2, 1, 2, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.929224665], [{[1, 1, 1, 1, 1, 1]}, 2.783882182], [{[2 , 1, 2, 1, 2, 1]}, 1.250000000], [{[1, 2, 1, 2, 1, 2]}, 1.178511302], [{[1, 2, 1, 1, 2, 1]}, .6250000000], [{[2, 1, 2, 2, 1, 2]}, .6063390625], [{[1, 2, 2, 1, 2, 2]}, .5000000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .4850712500], [{[2, 2, 1, 2, 2, 1]}, .4714045206], [{[2, 2, 1, 2, 2, 2]}, .4008918626], [{[2, 2, 1, 1, 2, 2], [2, 2, 2, 1, 2, 2]}, .3750000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .3638034376], [{[1, 2, 2, 2, 1, 2]}, .3535533\ 905], [{[2, 1, 2, 2, 2, 1]}, .2886751347], [{[1, 2, 1, 1, 1, 2]}, .2672612419], [{[1, 2, 2, 1, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, .2500000000], [{ [2, 2, 1, 2, 1, 2], [2, 2, 2, 2, 1, 2]}, .1767766952], [{[2, 1, 2, 1, 2, 2]}, .\ 1581138830], [{[2, 1, 2, 1, 1, 2]}, .1507556723], [{[1, 1, 2, 2, 2, 1], [1, 2, 2, 2, 2, 1], [2, 1, 1, 2, 2, 2], [2, 1, 2, 2, 2, 2]}, .1443375673], [{[1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 1, 2, 2, 1], [2, 1, 1, 1, 2, 2]}, .1336306\ 209], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2]}, .1290994449], [{[1, 1, 1, 1, 2 , 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 1, 1], [2, 2, 1, 1, 1, 2], [2, 2, 2, 1, 1, 2]}, .1250000000 ]] For the word, [2, 2, 2, 1, 2, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 2.645751311], [{[1, 1, 1, 1, 1, 1]}, 2.437087183], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, .7462025070], [{[2, 1, 2, 2, 1, 2]}, .25\ 81988897], [{[1, 2, 1, 1, 2, 1]}, .2236067977], [{[2, 2, 1, 2, 2, 1]}, .1581138\ 830], [{[1, 2, 2, 1, 2, 2]}, .1250000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1 , 1]}, .1147078669], [{[1, 2, 1, 1, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, -.1178511302], [{[1, 2, 2, 1, 1, 2]}, -.1250000000], [{[2, 1, 2, 2, 2, 1]} , -.1581138830], [{[1, 2, 2, 2, 1, 2]}, -.1767766952], [{[1, 1, 1, 1, 2, 1], [1 , 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [ 1, 2, 1, 2, 2, 1]}, -.2357022604], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2 , 1, 2, 1, 1, 2]}, -.2425356251], [{[1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 1, 1], [2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 1, 1, 2]}, -.2500000000], [{[1, 1, 2, 2, 2, 1], [2, 1 , 1, 2, 2, 2]}, -.2672612419], [{[1, 2, 2, 2, 2, 1]}, -.2886751347], [{[2, 1, 2 , 2, 2, 2]}, -.3162277659], [{[2, 2, 2, 2, 1, 2]}, -.3535533905], [{[1, 1, 1, 1 , 1, 2], [1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1]}, -.3638034376], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 1, 2, 2], [1, 2, 1, 1 , 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1], [2, 2, 2, 2, 1, 1]}, -.3750000000], [{[1, 1, 1, 2 , 2, 2], [1, 1, 2, 2, 2, 2], [1, 2, 1, 2, 2, 2]}, -.4008918626], [{[2, 1, 2, 2, 1, 1]}, -.4160251472], [{[1, 2, 2, 2, 2, 2]}, -.4330127019], [{[2, 2, 2, 2, 2, 1]}, -.4330127020]] For the word, [2, 2, 2, 2, 1, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 3.163924252], [{[1, 1, 1, 1, 1, 1]}, 2.829899880], [{[1 , 2, 1, 2, 1, 2]}, 1.118033988], [{[2, 1, 2, 1, 2, 1]}, 1.091089451], [{[1, 2, 1, 1, 2, 1], [2, 1, 2, 2, 1, 2]}, .5892556509], [{[1, 1, 2, 1, 1, 2], [1, 2, 2, 1, 2, 2], [2, 1, 1, 2, 1, 1]}, .5000000000], [{[2, 2, 1, 2, 2, 1]}, .4714045206 ], [{[2, 2, 1, 1, 2, 2]}, .4330127020], [{[2, 2, 1, 2, 2, 2]}, .4008918626], [{ [1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1], [2, 2, 2, 1, 2, 2]} , .3750000000], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, .2581988897], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .2500000000], [{[2, 1, 2, 2, 2, 1]}, .2425356251], [{[1, 2, 2, 2, 2, 1], [2, 2, 2, 1, 1, 2]}, .1767766\ 952], [{[2, 1, 2, 2, 2, 2]}, .1666666667], [{[2, 1, 1, 2, 2, 2]}, .1507556723], [{[2, 2, 1, 1, 1, 2]}, .1443375673], [{[2, 1, 1, 1, 2, 2]}, .1386750490], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2]}, .1336306209], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [2, 1, 2, 1, 2, 2]}, .1290\ 994449], [{[1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2 , 1, 1, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 1, 1], [2, 1, 2, 1, 1, 2], [2, 2, 1, 2, 1, 2], [2, 2, 2, 2, 1, 2]}, .1250000000]] For the word, [2, 2, 2, 2, 1, 2] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 3.061862179], [{[1, 1, 1, 1, 1, 1]}, 2.651650429], [{[2 , 1, 2, 1, 2, 1]}, 1.032370803], [{[1, 2, 1, 2, 1, 2]}, 1.006230590], [{[2, 1, 2, 2, 1, 2]}, .5000000000], [{[1, 2, 1, 1, 2, 1]}, .4714045206], [{[2, 2, 1, 2, 2, 1]}, .4008918626], [{[1, 2, 2, 1, 2, 2]}, .3750000000], [{[1, 1, 2, 1, 1, 2] , [2, 1, 1, 2, 1, 1], [2, 2, 2, 1, 2, 2]}, .3535533905], [{[2, 2, 1, 2, 2, 2]}, .3162277659], [{[2, 2, 1, 1, 2, 2]}, .2500000000], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, .2357022604], [{[2, 1, 2, 2, 2, 1]}, .1290994\ 449], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2]}, .125000000\ 0], [{[2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1]}, .1212678125], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 2, 1, 1, 1], [2, 2, 2, 2, 1, 1]}, -.1250000000], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 1, 2, 2]}, -.1290994449], [{[1, 2, 1, 1, 2, 2], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1]}, -.1336306209], [{[1, 1, 1, 2, 2, 2]}, -.1386750490], [{[1, 2, 1, 2, 2, 2], [2, 2, 1, 2, 1, 1]}, -.1443375673], [{[1, 1, 2, 2, 2, 2]}, -.1666666667], [{[1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 2, 1], [2, 2 , 2, 2, 2, 1]}, -.1767766952]] For the word, [2, 2, 2, 2, 2, 1] The ranked list of counterbets, and their values are [[{[2, 2, 2, 2, 2, 2]}, 3.875000000], [{[1, 1, 1, 1, 1, 1]}, 2.783882182], [{[1 , 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, 1.118033988], [{[2, 1, 2, 2, 1, 2]}, .60\ 63390625], [{[1, 2, 1, 1, 2, 1]}, .5892556509], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, .5000000000], [{[1, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1]}, .4850712500 ], [{[2, 2, 2, 1, 2, 2]}, .4330127020], [{[2, 2, 1, 2, 2, 2]}, .4330127019], [{ [2, 2, 1, 1, 2, 2]}, .4008918626], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1 , 1, 2, 2, 1, 1]}, .3638034376], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, .2\ 500000000], [{[2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 1, 2]}, .1767766952], [{[2, 1, 1 , 2, 2, 2], [2, 2, 2, 1, 1, 2]}, .1443375673], [{[2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2, 1, 2]}, .1336306209], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2]}, .1290994449], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1]}, .1250000000]] For the word, [2, 2, 2, 2, 2, 2] The ranked list of counterbets, and their values are [[{[1, 2, 1, 2, 1, 2], [2, 1, 2, 1, 2, 1]}, -1.750000000], [{[1, 2, 1, 1, 2, 1] }, -2.229481607], [{[2, 1, 2, 2, 1, 2]}, -2.263009527], [{[1, 1, 2, 1, 1, 2], [ 2, 1, 1, 2, 1, 1]}, -2.350048356], [{[1, 2, 2, 1, 2, 2], [2, 2, 1, 2, 2, 1]}, -\ 2.386485386], [{[1, 1, 1, 2, 1, 1], [1, 1, 2, 1, 1, 1], [1, 1, 2, 2, 1, 1]}, -2\ .437087183], [{[2, 2, 1, 1, 2, 2]}, -2.556038601], [{[1, 2, 1, 1, 1, 2], [1, 2, 2, 1, 1, 2], [1, 2, 2, 2, 1, 2], [2, 1, 1, 1, 2, 1], [2, 1, 1, 2, 2, 1], [2, 1, 2, 2, 2, 1]}, -2.563262081], [{[2, 2, 1, 2, 2, 2], [2, 2, 2, 1, 2, 2]}, -2.6457\ 51311], [{[1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 2, 1], [1, 1, 2, 1, 2, 1], [1, 1, 2, 2, 2, 1], [1, 2, 1, 1, 1, 1], [1, 2, 1, 2, 1, 1], [1, 2, 1, 2, 2, 1], [1, 2, 2, 1, 1, 1], [1, 2, 2, 1, 2, 1], [1, 2, 2, 2, 1, 1], [1, 2, 2, 2, 2, 1]}, -2.65165\ 0429], [{[2, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 2]}, -2.694079\ 530], [{[2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2], [2, 2, 1, 1, 1, 2], [2, 2, 1, 2 , 1, 2]}, -2.738612786], [{[1, 1, 1, 1, 1, 2], [1, 1, 1, 2, 1, 2], [1, 1, 2, 2, 1, 2], [2, 1, 1, 1, 1, 1], [2, 1, 2, 1, 1, 1], [2, 1, 2, 2, 1, 1]}, -2.78388218\ 2], [{[1, 1, 1, 1, 2, 2], [1, 1, 2, 1, 2, 2], [1, 2, 1, 1, 2, 2], [2, 2, 1, 1, 1, 1], [2, 2, 1, 1, 2, 1], [2, 2, 1, 2, 1, 1]}, -2.829899880], [{[2, 1, 1, 2, 2 , 2], [2, 2, 2, 1, 1, 2]}, -2.834733546], [{[1, 1, 1, 2, 2, 2], [1, 2, 1, 2, 2, 2], [2, 2, 2, 1, 1, 1], [2, 2, 2, 1, 2, 1]}, -2.929224665], [{[2, 1, 2, 2, 2, 2 ], [2, 2, 2, 2, 1, 2]}, -3.061862179], [{[1, 1, 2, 2, 2, 2], [2, 2, 2, 2, 1, 1] }, -3.163924252], [{[1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 1]}, -3.875000000]] The most unfair bet is if Alice bets, [1, 1, 1, 1, 1, 2], and Bob bets any word in the set, {[1, 1, 1, 1, 1, 1]} `The advantage then is`, 3.875000000, `that means that Pr(A>B)-Pr(B>A) with N tosees is asymptotic to`, 2.186234636/N ^(1/2) ---------------------- This took, 125.022, seconds.