HMMT November 2014 H5
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Suppose that there are initially eight townspeople and one goon. One of the eight townspeople is named Jester. If Jester is sent to jail during some morning, then the game ends immediately in his sole victory. (However, the Jester does not win if he is sent to jail during some night.) Find the probability that only the Jester wins.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{1}{3}
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