112.Meeting at the Station
★★★geometric probabilityCitadel
Two people each arrive at a station at an independent uniformly random time between 4:00 and 5:00pm. Each waits exactly 10 minutes for the other and then leaves. What is the probability that they meet?
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Plot the two arrival times as a point in a square. Meeting means the point lies within a band around the diagonal — it is easier to measure the two corners outside it.
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