Purchasing a Pizza The probability that a customer selects a pizza with mushrooms or pepperoni is 0.43, and the probability that the customer selects only mushrooms is 0.32. If the probability that he or she selects only pepperoni is 0.17, find the probability of the customer selecting both items.
1. Building a New Home In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.70 and of selecting a one-car garage is 0.20. Find the probability that the buyer will select no garage. The builder does not build houses with three-car or more garages.
2. In Exercise 28, find the probability that the buyer will not want a two-car garage.
3. Suppose that P(A) = 0.42, P(B) = 0.38, and
P(A U B) = 0.70. Are A and B mutually exclusive? Explain.