Return to the credit card scenario of Exercise 12 (Section 2.2), where A = {Visa}, B = { MasterCard}, P(A) = .5, P(B) = .4, and P(A ∪B) = .25. Calculate and interpret each of the following probabilities (a Venn diagram might help).
a. P(B|A)
b. P(B ′|A).
c. P(A|B)
d. P(A ′|B)
e. Given that the selected individual has at least one card, what is the probability that he or she has a Visa card?
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