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?
In a certain city, 30% of the families have a MasterCard, 18% have an American Express card, and 24% have a Visa card. Ten 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?
(Note: M = MasterCard, A = American Express, V = Visa)
(Round your answers to 2 decimal places, e.g. 0.21.)
a.enter probability rounded to 2 decimal places
b.enter probability rounded to 2 decimal places
c. enter probability rounded to 2 decimal places
d. As P(V) select an option P(V|M), possession of Visa select an option independent of possession of MasterCard
e. American Express select an option mutually exclusive of Visa.
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