The probability that a shopper in a certain boutique will buy a blouse is 0.35, that she will buy a pair of pants is 0.30, and that she will buy a skirt is 0.27. The probability that she will buy both a blouse and a skirt is 0.15, the probability that she will buy both a skirt and a pair of pants is 0.19, and the probability that she will buy both a blouse and a pair of pants is 0.12. Finally, the probability that she will buy all three items is 0.08. What is the probability that a customer selected at random will buy: a. Exactly one of these items? b. None of these items?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem 1.

The probability that a shopper in a certain boutique will buy a blouse is 0.35, that she will buy a pair of pants is 0.30, and that she will buy a skirt is 0.27. The probability that she will buy both a blouse and a skirt is 0.15, the probability that she will buy both a skirt and a pair of pants is 0.19, and the probability that she will buy both a blouse and a pair of pants is 0.12. Finally, the probability that she will buy all three items is 0.08.

What is the probability that a customer selected at random will buy:

a. Exactly one of these items?

b. None of these items?

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