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Coin Triplets Problem Denote H for head, T for tail in a coin flip. Flip a fair coin many times until either a pattern of HHT or HTT occurs. What's the probability that HHT occurs before HTT? Please elaborate the reasoning.
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Assistant Trader

Interviewed at Jane Street

4.4
Oct 11, 2011

Coin Triplets Problem Denote H for head, T for tail in a coin flip. Flip a fair coin many times until either a pattern of HHT or HTT occurs. What's the probability that HHT occurs before HTT? Please elaborate the reasoning.

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