Three machines namely M1, M2 and M3 make 30%, 45% and 25% respectively for the products. It is known from the quality control data collected from the past that 2%, 3% and 2% of the products made by each machine respectively are defective.  If a product is chosen randomly and found to be defective, what is the probability that it is made by M3?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Three machines namely M1, M2 and M3 make 30%, 45% and 25% respectively for the products.

It is known from the quality control data collected from the past that 2%, 3% and 2% of the products made by each machine respectively are defective. 

If a product is chosen randomly and found to be defective, what is the probability that it is made by M3?

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