Consider randomly selecting a student at a certain

raja Osama

raja Osama

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2022-06-05

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) = 0.5,P (B) = 0.4,P (A ∩B = 0.25. i) Why is it not the case that P (A) + P (B) = 1? ii) Display the probabilities and corresponding event in a Venn diagram. iii) 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). iv) What is the probability that the selected individual has neither type of card? v) 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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