Mathematics

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19 June, 21:32

An unwary explorer happens upon a cave with an oracle. The oracle says she will let the explorer pass if he can solve five riddles within a 15-minute time limit. Suppose the explorer can solve riddles at an average rate of 18 per hour, and the number of riddles he can solve over time follows a Poisson distribution. What is the probability the explorer will complete the oracle's challenge and gain passage?

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