Problem 13. Suppose that the birthday of each of three people is equally likely to be any one of the 365 days of the year, independently of the others. Let By denote the event that person i has the same birthday as person j. a) Are the events Biz and Bag independent? b) Are the events B12, Bia, and Bag independent? c) Are the events B12, B23, Bis pairwise independent