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?

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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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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