There are ten urns of which each of three contains 1 white and 9 black balls; each of other three contains 9 white and 1 black balls, and of the remaining four each contains 5 white and 5 black balls. One of the urns is selected at random and a ball taken blindly from it and it turns out to be white. What is the probability that an urn containing 1 white and 9 black balls was selected?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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There are ten urns of which each of three contains 1
white and 9 black balls; each of other three contains
9 white and 1 black balls, and of the remaining four
each contains 5 white and 5 black balls. One of the
urns is selected at random and a ball taken blindly
from it and it turns out to be white. What is the
probability that an urn containing 1 white and 9 black
balls was selected?
Transcribed Image Text:There are ten urns of which each of three contains 1 white and 9 black balls; each of other three contains 9 white and 1 black balls, and of the remaining four each contains 5 white and 5 black balls. One of the urns is selected at random and a ball taken blindly from it and it turns out to be white. What is the probability that an urn containing 1 white and 9 black balls was selected?
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