Two math professors arrange to meet to prepare a test. Each will arrive at a random

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time between 1:00 P.M...? Two math professors arrange to meet to prepare a test. Each will arrive at a random time between 1:00 P.M.
and 2:00 P.M. and will wait up to 15 minutes for the other before leaving. What is the probability that the meeting
takes place?
 
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