olymmath

HMMT November 2014 U16

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A particular coin has a 13\frac{1}{3} chance of landing on heads (H), 13\frac{1}{3} chance of landing on tails ( T ), and 13\frac{1}{3} chance of landing vertically in the middle (M). When continuously flipping this coin, what is the probability of observing the continuous sequence HMMT before HMT?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{4}

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