47. Return to the credit card scenario of Exercise 12 (Section 2.2), where , , ,

, and . Calculate and interpret each of the following probabilities (a Venn diagram might help).

a. b.

c. d.

e. Given that the selected individual has at least one card, what is the probability that he or she has a Visa card?

P(Au B) P(Ar u B)

P(Bu A) P(Br u A)

P(B) 5 .4 P(A ¨ B) 5 .25 A 5 5Visa6 B 5 5MasterCard6 P(A) 5 .5 P(Au B) P(Bu A)

P(Au C) P(Cu A)

P(A ¨ C)

B 5 5type B selected6 C 5 5ethnic group 3 selected6 A 5 5type A selected6