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Consider randomly selecting a student at a certain university, and let A denote the event that...

Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for a MasterCard where P(A) = 0.45, P(B) = 0.45, and P(A ∩ B) = 0.30. Calculate and interpret each of the following probabilities (a Venn diagram might help). (Round your answers to four decimal places.) (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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