A paint-store chain produces and sells latex and semigloss paint. Based on long-range sales of customers that buy one can of paint and one roller, the probability that a customer will purchase latex paint is 0.66. Of those that purchase latex paint, 80% also purchase rollers. But only 30% of semigloss paint buyers purchase rollers. A randomly selected buyer purchases a roller and a can of paint. What is the probability that the paint is latex? The probability that the paint is latex is (Type an integer or decimal rounded to three decimal places as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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A paint-store chain produces and sells latex and semigloss paint. Based on long-range sales of customers that buy
one can of paint and one roller, the probability that a customer will purchase latex paint is 0.66. Of those that
purchase latex paint, 80% also purchase rollers. But only 30% of semigloss paint buyers purchase rollers. A randomly
selected buyer purchases a roller and a can of paint. What is the probability that the paint is latex?
The probability that the paint is latex is
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:A paint-store chain produces and sells latex and semigloss paint. Based on long-range sales of customers that buy one can of paint and one roller, the probability that a customer will purchase latex paint is 0.66. Of those that purchase latex paint, 80% also purchase rollers. But only 30% of semigloss paint buyers purchase rollers. A randomly selected buyer purchases a roller and a can of paint. What is the probability that the paint is latex? The probability that the paint is latex is (Type an integer or decimal rounded to three decimal places as needed.)
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