. 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...

. 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) ¼ .5, P(B) ¼ .4, and P(A \ B) ¼ .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.