Q1. Suppose that we have a sample space with five equally likely experimental outcomes: E1, E2, E3, E4, and E5. Let A = {E1, E2, E3}; B= {E4, E5} and C= {E2, E3, E5}

Find P(A), P(B), P(C)

(i) Find P(AUB)

(ii) Are A and B mutually exclusive?

Find A^c, C^c, P(A^c), and P(C^c)

Find AUB^c, and P(AUB^c).

Find P(BUC).