PUMaC 2024 · 团队赛 · 第 1 题

PUMaC 2024 — Team Round — Problem 1

Justin chooses a number n uniformly at random from the set of integers between 90 and 99, inclusive. He then chooses a positive divisor d of n uniformly at random. Justin notices that d and n/d are relatively prime. If the probability that n = 90 can be expressed as a/b for relatively prime positive integers, find a + b .

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