Question: 4.1. Which will take fewer flips, on average: successively flipping a quarter until the pattern HHT appears, that is, until you observe two successive heads

4.1. Which will take fewer flips, on average: successively flipping a quarter until the pattern HHT appears, that is, until you observe two successive heads followed by a tails; or successively flipping a quarter until the pattern HTH appears? Can you explain why these are different?

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