Games and stopping · Coin game · difficulty 4 of 5
Pick your pattern second
Alice and Bob play a coin game. Alice picks the pattern HHT and Bob picks THH (H is heads, T is tails). A fair coin is flipped again and again until one of the two patterns appears as three consecutive flips, and that player wins. What is the probability that Bob 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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