HMMT November 2016 T5
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- Answer
Allen and Brian are playing a game in which they roll a 6 -sided die until one of them wins. Allen wins if two consecutive rolls are equal and at most 3 . Brian wins if two consecutive rolls add up to 7 and the latter is at most 3 . What is the probability that Allen wins?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{5}{12}
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