Question: 2. Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card

2. 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. A = {Visa, B = {MasterCard), P(A) = 0.5 , P(B) = 0.4 , and P( AB) = 0.25 Calculate and interpret each of the following probabilities (a Venn diagram might help). a. P(BA) b.P ( BA) c. P( AB) d.P ( AB) e. Given that the selected individual has at least one card, what is the probability that he or she has a Visa card? 3. Reconsider the credit card scenario of Exercise 2, 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

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