47E

Problem 47E Answer: Step1: We have Return to the credit card scenario of Exercise 12 (Section 2.2), and let C be the event that the selected student has an American Express card. In addition to P(A) = 0.6, P(B) = 0.4, and P(A B) = 0.3, P(C) = 0.2, P(A C) = 0.15, P(B C) = 0.1, and P(A B C) = 0.08. Our goal is to find, a. What is the probability that the selected student has at least one of the three types of cards b. What is the probability that the selected student has both a Visa card and a MasterCard but not an American Express card c. Calculate and interpret P(B | A) and also P(A | B). d. If we learn that the selected student has an American Express card, what is the probability that she or he also has both a Visa card and a MasterCard e. Given that the selected student has an American Express card, what is the probability that she or he has at least one of the other two types of cards...