Suppose that birthday of each of three people is equally likely to be any one of the 365 days of the year, independently of others. Let Bijdenote the event that personIhave the same birthday as personj, where the labelsiandjmay be 1, 2, or 3.

a)Are the events B12 and B23 independent?

b)Are the events B12, B23, and B13 independent?

c)Are the events B12, B23, and B13 pairwise independent?