(Answered) Question in a certain city 30 of the families have a

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Question: In a certain city, 30% of the families have a MasterCard, 20% have an American Express card, and 25% have a Visa card. Eight percent of the families have both a MasterCard and an American Express card. Twelve percent have both a Visa card and a MasterCard. Six percent have both an American Express card and a Visa card.

a. What is the probability of selecting a family that has either a Visa card or an American Express card?

b. If a family has a MasterCard, what is the probability that it has a Visa card?

c. If a family has a Visa card, what is the probability that it has a MasterCard?

d. Is possession of a Visa card independent of possession of a MasterCard? Why or why not?

e. Is possession of an American Express card mutually exclusive of possession of a Visa card?

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