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A building contractor buys 80% of his cement from supplier A and 20% from supplier B. A total of 80% of the bags from A arrive undamaged, while 85% of the bags from B arrive undamaged. Find the probability that a damaged bag is from supplier B. The probability is (Type an integer or decimal rounded to four decimal places as needed.)

A building contractor buys 80% of his cement from supplier A and 20% from supplier B. A total of 80% of the bags from A arrive undamaged, while 85% of the bags from B arrive undamaged. Find the probability that a damaged bag is from supplier B. The probability is (Type an integer or decimal rounded to four decimal places as needed.)

A First Course in Probability (10th Edition)
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 building contractor buys 80% of his cement from supplier A and 20% from supplier B. A total of 80% of the bags from A arrive undamaged, while 85% of the bags from B arrive undamaged. Find the probability that a damaged bag is from supplier B. The probability is (Type an integer or decimal rounded to four decimal places as needed.)
Transcribed Image Text:A building contractor buys 80% of his cement from supplier A and 20% from supplier B. A total of 80% of the bags from A arrive undamaged, while 85% of the bags from B arrive undamaged. Find the probability that a damaged bag is from supplier B. The probability is (Type an integer or decimal rounded to four decimal places as needed.)
Suppose you have 3 jars with the following contents. Jar 1 has 2 white balls and 1 black ball. Jar 2 has 1 white ball and 2 black balls. Jar 3 has 1 white ball and 1 black ball. One jar is to be selected, and then 1 ball is to be drawn from the selected jar. The probabilities of selecting the first, second, and third jars are 1/3, 1/2, and 1/6 respectively. Find the probability the ball was drawn from Jar 1, given that the ball is white. What is the probability the ball was drawn from Jar 1, given that the ball is white? (Simplify your answer. Type an integer or a fraction.)
Transcribed Image Text:Suppose you have 3 jars with the following contents. Jar 1 has 2 white balls and 1 black ball. Jar 2 has 1 white ball and 2 black balls. Jar 3 has 1 white ball and 1 black ball. One jar is to be selected, and then 1 ball is to be drawn from the selected jar. The probabilities of selecting the first, second, and third jars are 1/3, 1/2, and 1/6 respectively. Find the probability the ball was drawn from Jar 1, given that the ball is white. What is the probability the ball was drawn from Jar 1, given that the ball is white? (Simplify your answer. Type an integer or a fraction.)
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