olymmath

HMMT 2004 F2

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Andrea flips a fair coin repeatedly, continuing until she either flips two heads in a row (the sequence HHH H ) or flips tails followed by heads (the sequence THT H ). What is the probability that she will stop after flipping HHH H ?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{4}

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