An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.61. If the ball is white, find the probability that the first urn was selected. (Enter answer as a decimal with at least 4 correct decimal places)

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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An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.61. If the ball is white, find the probability that the first urn was selected. (Enter answer as a decimal with at least 4 correct decimal places)

Expert Solution
Step 1: determine the given variable

An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red balls

U1= urn 1 is selected

U2= urn 2 is selected

P(U1) =0.61


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