Geometric probability · Commuting
Meeting at the station
You and a friend agree to meet at the train station between 6:00 and 7:00 pm. Each of you arrives at an independent, uniformly random time in that hour, waits up to 15 minutes for the other, then leaves. What is the probability you meet?
Answer with a probability. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.
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