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Calculate the probability of this event

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Question - 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) = 0.6, P(B) = 0.5, and P(A ∩ B) = 0.35.

(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 U 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.

(d) Calculate the probability of this event. A ∩ B' A U B' A' U B' A' ∩ B' A' ∩ B.

Reference no: EM132585729

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