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A TA is supposed to hold office hours from 1-2pm but actually arrives uniformly at random between 1-2pm (and then stays to 2pm). Meanwhile a
A TA is supposed to hold office hours from 1-2pm but actually arrives uniformly at random between 1-2pm (and then stays to 2pm). Meanwhile a student arrives independently uniformly at random between 1-2pm. If the student arrives and the TA is not there, they wait 15 minutes. If the TA has not arrived in 15 minutes, they give up and go home. What is the probability that the student sees the TA?
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