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But they are very impatient and only stay for 10 minutes

Two people agree to meet at a coffee shop. They each independently pick a random moment in time between 8 a.m. and 9 a.m. and show up exactly at their selected time. But they are very impatient, and only stay for 10 minutes after when they arrive. What is the probability that they meet? Express your answer as a common fraction.

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Basic Computer Science: But they are very impatient and only stay for 10 minutes

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