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Suppose you have 15 identical dollar bills to give to your friends Adam, Beth and Charlie....

Suppose you have 15 identical dollar bills to give to your friends Adam, Beth and Charlie. You give all 15 dollar bills away by randomly selecting a person for each dollar. Each person is equally likely to recieve a dollar for each dollar. (a) What is the probability that Adam gets exactly 4 dollars? (b) If you know that each person recieved at least one dollar, what is the probability that Adam gets exactly 4 dollars? (c) What is the expected number of dollars that Adam gets? (d) If you know that each person recieved at least one dollar, what is the expected number of dollars that Adam gets?
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