At mens clothing store 12 males bought green sweaters 8 purc

At men’s clothing store, 12 males bought green sweaters, 8 purchased blue golf sweaters, 4 bought white sweaters and 7 decided to by gray sweaters. If a customer is selected at random, calculate the probability that he bought: (a) Green sweater (b) blue sweater or white (c) blue or gray or white (d) A sweater which was not gray.

Solution

There are 31 customers in all.

a)

P(green) = 12 green / 31 = 0.387096774 [answer]

b)

P(blue or white) = (8 blue + 4 white)/31 = 0.387096774 [answer]

c)

P(blue or gray or white) = (8 blue + 4 white + 7 gray)/31 = 0.612903226 [answer]

d)

P(not gray) = 1 - P(gray) = 1 - (7 gray/31) = 0.774193548 [answer]