Basket I contains 30 black and 70 silver balls, basket II contains 50 black and 50 silver balls, and basket III contains 75 black and 25 silver balls. The three baskets are all emptied into a large basket, and a ball is selected at random. If the selected ball is black, what is the probability that it came from basket III? Express your answer in three decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Basket I contains 30 black and 70 silver balls, basket II contains 50 black and 50 silver balls, and basket III contains 75 black and 25 silver balls. The three baskets are all emptied into a large basket, and a ball is selected at random. If the selected ball is black, what is the probability that it came from basket III? Express your answer in three decimal places.
 
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