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. Suppose that P(A)=.5. P(B)= .4. and P(A ∪B) =25.
a. Compute the probability that the selected individual has at least one of the two types of cards (i.e., the probability of the event (A ∪B).
b. What is the probability that the selected individual has neither type of card?
c. Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard, and then calculate the probability of this event.
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