A pair of fair dice is tossed. Define the events A and B as follows. Define the following events:

A: 5An 8 is rolled6 1The sum of the numbers of dots on the upper faces of the two dice is equal to 8.)

B: 5At least one of the two dice is showing a 66

a. Identify the sample points in the event A, B, A ¨ B, A ∪ B, and Ac.

b. Find P1A2, P1B2, P1A ¨ B2, P1A ∪ B2, and P1Ac2 by summing the probabilities of the appropriate sample points.

c. Use the additive rule to find P1A ∪ B2. Compare your answer with that for the same event in part b.

d. Are A and B mutually exclusive? Why?