(1) the team gives one dollar to player C.
(2) Both A and B toss their coins independently.
(3) Both A and B try to predict the other’s coin by telling the guess to C. (No communication: A does not know the outcome of B’s coin toss, and vice versa, nor the guess).
(4) If C verifies that both A and B guess the other’s coin correctly, then C has to give 3 dollars back to the team.
Should C play this game?
Source: Raphael M. Reischuk
Find Solution here