A purple flower opens at a random time in the next 60 days and blooms for 10 days; a red one opens independently and blooms for 20. What is the probability their blooms overlap?
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A purple flower will open at a uniformly random time in the next 60 days and stay in bloom for 10 days. Independently, a red flower will open at a uniformly random time in the next 60 days and stay in bloom for 20 days. What is the probability that the two are in bloom at the same time at some point? Candidates report this question with different numbers from one sitting to the next.
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