74 A sample space contains six sample points and events A , B , and C , as shown in the Venn diagram on page 146 . The probabilities of the sample points are P(1) = .20, P(2) = .05, P(3) = .30, P(4) = .10, P(5) = .10, and P(6) = .25.

a. Which pairs of events, if any, are mutually exclusive?
Why?

b. Which pairs of events, if any, are independent?
Why?

c. Find P1A ∪ B2 by adding the probabilities of the sample points and then by using the additive rule. Verify that the answers agree. Repeat for P1A ∪ C2.

Transcribed Image Text:

05 06 C 01 4 03 B A 2 S