1. Fred will do well on his final exam if the exam is easy or if he studies hard. Suppose that the probability is .4that the exam is easy, the probability is .75 that Fred will study hard, and that the two events are independent. What is the probability that
(a) the exam is easy and that Fred will study hard?
(b) Fred will do well on his final exam?
2. Let A and B be independent events for which the probability that at least one of them occurs is 1/2 and the probability that B occurs but A does not occur is 1/3. Find Pr (A).