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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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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