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 Master Card and an American Express card. Twelve percent have both a Visa card and a Master Card. Six percent have both an American Express card and a Visa card. a. What is the probability that a family has either a Visa card or an American Express card? b. If a family has a Master Card, 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 Master Card? Why or why not? e. Is possession of an American Express card mutually exclusive of possession of a Visa card?
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