Reconsider the credit card scenario of Exercise 47 (Section 2.4), and show that A and B are dependent first by using the definition of independence and then by verifying that the multiplication property does not hold.
Reference exercise 47
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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