A fair coin is tossed three times and the events A V and B are defined as follows:

A: (At least onc hcad is observed]

B: (The number of heads observed is odd]

a. Identify the sample points in the events A, B, AUB,Ac

,and AflB.

b. Find P(A). P(B), P(A U B). P(AC

), and P(A n B)

by summing the probabilities of the appropriate sample points.

c. Find P(AUB) using the additive rule.

Compare your answer to the one you obtained in part b.

d. Are the events A and B mutually exclusive?