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Probability and Birthdays

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From a set of n randomly chosen people, let Eij be the event that persons i and j have the same birthday. Assume that each person is equally likely to have any of the 365 days of the year as his or her birthday. Find
a) P(E3,4|E1,2)
b) P(E1,3|E1,2)
c) P(E2,3|E1,2∩E1,3)

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