olymmath

HMMT 1999 V3

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An unfair coin has the property that when flipped four times, it has the same probability of turning up 2 heads and 2 tails (in any order) as 3 heads and 1 tail (in any order). What is the probability of getting a head in any one flip?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{3}{5}

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