A coin having probability p of landing heads is flipped 5 times and then flipped utill the pattern of the first 5 flips is observed again for the first time, including the possiblity of using some of the first flips. If we want to find the expected number of flips of coins.(The lead is that: The expected number of additional flips after the five flips shall give us the answer)(adsbygoogle = window.adsbygoogle || []).push({});

....I have kind of tried to do it a couple of ways, but a solution which holds for all combination of five flips seems is proving to be too confounding.

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# Expected Number of Coin Flips

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