Suppose two events A and B are independent, with P(A) 0 and P(B) 0. By

Question:

Suppose two events A and B are independent, with P(A) ≠ 0 and P(B) ≠ 0. By working through the following steps, you’ll see why two independent events are not mutually exclusive.
(a) What formula is used to compute P(A and B)? Is P(A and B) ≠ 0? Explain.
(b) Using the information from part (a), can you conclude that events A and B are not mutually exclusive?