olymmath

HMMT 2001 U38

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The cafeteria in a certain laboratory is open from noon until 2 in the afternoon every Monday for lunch. Two professors eat 15 minute lunches sometime between noon and 2 . What is the probability that they are in the cafeteria simultaneously on any given Monday?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{15}{64}

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