10- Alice and Barbara arrange a meeting at a specified place- They arr.pdf

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10. Alice and Barbara arrange a meeting at a specified place. They arrive at the place at random times between 16:00 and 17:00. The girl who arrives first is going to wait 15 minutes and then leave the place if the other girl does not arrive. (a) What is the probability that the girls will meet each other? (b) What is the probability that they will arrive at exactly the same moment? (c) What is the probability that Alice will arrive at least 5 minutes after Barbara?.

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