Suppose that a sample space has five equally likely experimental outcomes: E1, E2, E3, E4, E5. Let

A = {E1, E2}

B = {E3, C4}

C = {E2, E3, E5}

a. Find P(A), P(B), and P(C).

b. Find P(A ( B). Are A and B mutually exclusive?

c. Find Ac, Cc, P(Ac), and P(Cc).

d. Find A ( Bc and P(A ( Bc).

e. Find P(B ( C).