# Question

From a set of n randomly chosen people, let Eij denote 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).

What can you conclude from your answers to parts (a) – (c) about the independence of the

events Eij?

(a) P(E3,4|E1,2);

(b) P(E1,3|E1,2);

(c) P(E2,3|E1,2 ∩ E1,3).

What can you conclude from your answers to parts (a) – (c) about the independence of the

events Eij?

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