A sample space contains six sample points and events A, B, and C, as shown in the

Question:

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 P(AˆªB) by adding the probabilities of the sample points and then by using the additive rule. Verify that the answers agree. Repeat for P(AˆªC).