Return to the credit card scenario of Exercise 12
Chapter 2, Problem 47(choose chapter or problem)
Return to the credit card scenario of Exercise 12 (Section2.2), and let C be the event that the selected studenthas an American Express card. In addition to P(A) = .6,P(B) = .4, and P(A > B) = .3, suppose that P(C) = .2,P(A> C)= .15, P(B > C) = .1, and P(A > B > C) = .08.a. What is the probability that the selected student hasat least one of the three types of cards?b. What is the probability that the selected student hasboth a Visa card and a MasterCard but not an AmericanExpress card?c. Calculate and interpret P(B u A) and also P(A u B).d. If we learn that the selected student has an AmericanExpress card, what is the probability that she or healso has both a Visa card and a MasterCard?e. Given that the selected student has an American Expresscard, what is the probability that she or he has at leastone of the other two types of cards?
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