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Problem 304 of 333MediumStochastic ProcessesP304
Three heads or HTH on a loaded coin
A coin lands heads with probability . You flip it until a given three-flip pattern appears as consecutive flips.
Find the expected number of flips until HHH appears and until HTH appears. Which one is faster?
With a fair coin the answers are 14 and 10, so HTH is faster there.
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