Question: In a certain assembly plant, three machines, Machine 1 , Machine 2 and Machine 3 make 30%,50% and 20% respectively of the products. It is

In a certain assembly plant, three machines, Machine 1 , Machine 2 and Machine 3 make 30%,50% and 20% respectively of the products. It is known from the quality control data collected from the past that 1%,2% and 3% of the products made by each machine respectively, are defective. If a product is chosen randomly chosen and found to be defective, what is the probability that it is made by Machine 3

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