Priors

Games and stopping · Coin game · difficulty 2 of 5

First to flip heads

Two players take turns flipping a coin that lands heads with probability 0.5. The first player to flip heads wins. What is the probability that the player who flips first wins?

Answer with a probability. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.

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