Consider randomly selecting a student at a large university, and let A be the event that...

Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. Suppose thatP(A) = 0.7and P(B) = 0.3.

(a)Could it be the case thatP(A ∩ B) = 0.5?

Why or why not?

(b) From now on, suppose thatP(A ∩ B) = 0.2.

What is the probability that the selected student has at least one of these two types of cards?

(c)What is the probability that the selected student has neither type of card?

(d)Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.

Calculate the probability of this event.

(e) Calculate the probability that the selected student has exactly one of the two types of cards.

Expert Solution

orchestra answered 1 year ago

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Consider randomly selecting a student at a large university, and let A be the event that...

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