Suppose that we have a sample space with five equally likely experimental outcomes: E1, E2, E3, E4,

Question:

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