Real estate ads suggest that 51% of homes for sale have garages, 22% have swimming pools, and 16% have both features. a) What is the probability that a home for sale has a garage, but not a pool? b) If a home for sale has a garage, what's the probability that it has a pool, too? c) Are having a garage and having a pool independent events? Explain. d) Are having a garage and having a pool mutually exclusive? Explain. a) The probability that a home for sale has a garage, but not a pool, is (Round to three decimal places as needed.) b) The probability that a home for sale that has a garage also has a pool is (Round to three decimal places as needed.) c) Are the events independent? OA. No, because there are outcomes that are common between them. OB. Yes, because the outcome of one does not influence the probability of the other. OC. No, because the outcome of one influences the probability of the other. OD. Yes, because there are no common outcomes. d) Are the events mutually exclusive? A. Yes, because there are no common outcomes. OB. No, because the outcome of one influences the probability of the other. OC. Yes, because the outcome of one does not influence the probability of the other. OD. No, because there are outcomes that are common between them.