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Tanner plays a game at the carnival where he has to pay 1$ to flip 2 coins. If they are both heads he wins 2$. If they are both tails he must pay 1$. If one is heads and one is tails nobody wins. Is this game fair? If not who has a better probability of winning?
What is, the game is not fair. Tanner has a one in three chances of winning whereas his opposer has two in three chances of winning (Tanner's options are; win 1$, lose 1$,or lose 2$.