339.Penney's Game: HTH vs HHT
★★★markov chainsCh. 6 — Random Variables and Expectation444+ Problems in Probability
You and a friend toss a fair coin repeatedly. You win if the pattern HTH appears before HHT; otherwise your friend wins. What is the probability your friend wins?
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What happens once HH has appeared? One of the two patterns can no longer lose from there.
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