Consider randomly selecting a student at a large university,and let A be the event that
Chapter 2, Problem 12(choose chapter or problem)
Consider randomly selecting a student at a large university,and let A be the event that the selected student has aVisa card and B be the analogous event for MasterCard.Suppose that P(A) = .6 and P(B) = .4.a. Could it be the case that P(A > B) = .5? Why or whynot? [Hint: See Exercise 24.]b. From now on, suppose that P(A > B) = .3. What isthe probability that the selected student has at leastone of these two types of cards?c. What is the probability that the selected student hasneither type of card?d. Describe, in terms of A and B, the event that theselected student has a Visa card but not a MasterCard,and then calculate the probability of this event.e. Calculate the probability that the selected student hasexactly one of the two types of cards.
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