A paint-store chain produces and sells latex and semigloss paint. Based on longrange sales, the probability that a customer will purchase latex paint is 0.75. Of those that purchase latex paint, 60% also purchase rollers. But only 30% of semigloss paint buyers purchase rollers. a. Name all the events for this problem  b. A randomly selected buyer purchases a roller and a can of paint. What is the probability that the paint is latex?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A paint-store chain produces and sells latex and semigloss paint. Based on longrange sales, the probability that a customer will purchase latex paint is 0.75. Of
those that purchase latex paint, 60% also purchase rollers. But only 30% of
semigloss paint buyers purchase rollers.

a. Name all the events for this problem 
b. A randomly selected buyer purchases a roller and a can of paint. What is
the probability that the paint is latex? 

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