#758easyProbability

Coin Toss Game III

Asked at:Graviton

Part of:Probability & Counting → Coin Flipping Probability & Counting → Markov Chains & Random Walks

Alice and Bob are playing yet another coin game. In this game, a coin is flipped repeatedly. Alice wins if the sequence "HHH" occurs before "THH" and Bob wins otherwise. What is the probability that Alice wins?

Enter your answer rounded to 5 decimal places.

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