In a certain city,27% of the families have a MasterCard,16% have an American Express card, and22% have a Visa card.Tenpercent of the families have both a MasterCard and an American Express card.Thirteenpercent have both a Visa card and a MasterCard.Sevenpercent 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.AsP(V)(select an option)

is equal to OR not equal to

P(V|M), possession of Visa(select an option)

is not OR is

independent of possession of MasterCard

e.American Express(select an option)

is not OR is

mutually exclusive of Visa.