Critical Thinking Suppose two events A and B are mutually exclusive, with P A ? 0 and P B ? 0.

By working through the following steps, you’ll see why two mutually exclusive events are not independent.

(a) For mutually exclusive events, can event A occur if event B has occurred?

What is the value of P A | B ?

(b) Using the information from part (a), can you conclude that events A and B are not independent if they are mutually exclusive? Explain.