The problem with this analysis is that with the "choose the same as your flip strategy", the case where A is right and B is wrong do not occur. Likewise when A

The problem with this analysis is that with the "choose the same as your flip strategy", the case where A is right and B is wrong do not occur. Likewise when A is wrong and B is right does not occur. The results of each coin flip are independent, however the strategy produces a non-independent result. A, B, GuessA, GuessB, Winner, AmountC, Chance, EV H, H, H, H, AB, -3, 0.25, -0.75 H, T, H, T, C, +1, 0.25, +0.25 T, H, T, H, C , +1, 0.25, +0.25 T, T, T, T, AB, -3, 0.25, -0.75 Sum(EV)=-1 per round So C should not play