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A man and woman agree to meet at a certain location at 12:25 pm. If the...

A man and woman agree to meet at a certain location at 12:25 pm. If the man arrives at a time that is uniformly distributed between 12:14 pm and 12:36 pm, and if the woman arrives independently at a time that is uniformly distributed between 12:00 noon and 1:00 pm, what is the probability that the man arrives first?

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