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) = 0.55, 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?