Statistics Homework Solutions
Problem
#3635

Probability

In Washington, DC, 30% of the families have a MasterCard, 20% have an American Express card, and 25% have a Visa card. 8% of the families have both a MasterCard and an American Express card. 12% have both a Visa card and a MasterCard. 6% 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. Given that a family has a MasterCard, what is the probability that it has a Visa card?
c. Given that a family has a Visa card, what is the probability that it has a MasterCard?
d. Is possession of an American Express card mutually exclusive of possession of a Visa card? Explain your answer.

Solution
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