Two hikers climb to the top of a mountain from different directions. Their arrival time points are

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Two hikers climb to the top of a mountain from different directions. Their arrival time points are between 9:00 and 10:00 a.m., and they stay on the top for 10 and 20 minutes, respectively. For each hiker, every time point between 9 and 10:00 has the same chance to be the arrival time. What is the probability that the hikers meet on the top?

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