. Suppose that Peter visits the hostel mess sometime between 12:00 noon and 2:00 p.m.. He leaves the
mess after finishing his lunch in 20 minutes. Likewise, Gwen visits the same hostel mess sometime
between 1:00 p.m. and 2:00 p.m.. She also leaves the mess after finishing her lunch in 20 minutes. If the
probability of arrival of each person is uniform across the given intervals respectively, find the probability
that they meet in the mess.
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