There are three urns that each contain 10 balls. The first contains 2 white balls and 8 red balls, the second 8 white and 2 red, and the third all 10 white. Each urn has an equal probability of being selected. After an urn is selected a ball is randomly drawn from this urn. If the ball drawn was white, find the probability that the third urn was selected. (Round your answer to three 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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There are three urns that each contain 10 balls. The first contains 2 white balls and 8 red balls, the second 8 white and 2 red, and the third all 10 white. Each urn has an equal probability of being selected. After an urn is selected a ball is randomly drawn from this urn. If the ball drawn was white, find the probability that the third urn was selected. (Round your answer to three decimal places.)

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