### Probability and Birthdays

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) See attached file for full problem description.