2 person's meeting probability

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Mykola and Petro are scheduled to meet at a bus station between 9:00 PM and 10:00 PM, with the first to arrive waiting only 15 minutes for the other. The problem involves calculating the probability of them meeting, given that their arrival times are uniformly distributed within that hour. One participant calculated the probability of them meeting as 1 - 2025/3600, resulting in 7/16. The discussion seeks confirmation of this calculation and any additional insights. The focus remains on determining the correct probability of their meeting under the specified conditions.
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Homework Statement



Mykola and Petro have a meeting on a bus station between 9:00P.M.
and 10:00P.M. The guy that come 1st waits only 15 minutes for the other guy and
if the 2nd guy doesn't come during this time the 1st guy will go away. Find a
probability that Mykola and Petro will meet each other assuming that Mykola's and
Petro's times of arriving are are equally likely on interval [9,10]

Homework Equations





The Attempt at a Solution


i will highly appreciate all your hints
 
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What have you tried so far? You have to do some work and let us know where you're stuck.
 
i got Probability(meeting)= 1- 2025/3600=7/16... am i right?
 

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