Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 74

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 hasoccurred 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.