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Alice and bob arrange to meet for lunch on a certain day at

Question: Alice and Bob arrange to meet for lunch on a certain day at noon. However, neither is known for punctuality. They both arrive independently at uniformly distributed times between noon and 1 pm on that day. Each is willing to wait up to 15 minutes for the other to show up. What is the probability they will meet for lunch that day?

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Basic Statistics: Alice and bob arrange to meet for lunch on a certain day at

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