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2016 Discrete Tiebreaker #1

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August 10, 2022
2016Discrete Math Tiebreaker

Problem Statement

You own two cats, Chocolate and Tea. Chocolate and Tea sleep for CC and TT hours a day respectively, where CC and TT are chosen independently and uniformly at random from the interval [5,10][5,10]. In a given day, what is the probability that Chocolate and Tea will together sleep for a total of at least 1414 hours?