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)
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)
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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Question
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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