A shopper is randomly selected from a market. Let A be the event the selected shopper has a Visa credit card, and B be the event the shopper has a Mastercard credit card. Suppose P(A) = 0.5, P(B) = 0.45, and P(A ∪ B) = 0.8.a. What is the probability that the shopper has neither type of card? b. What is the probability that the shopper has both types of card? c. What is the probability the individual has a Visa card but not a Mastercard? (Hint: You will use the answer from part b.) d. Are the events of having a Visa card and a Mastercard mutually exclusive?