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Conditional Probability

In a factory ...

Question

In a factory there are three types of Machines $M_{1}$ , $M_{2}$ and $M_{3}$ which produces $25 %, 35 %$ and $40 %$ of the total products respectively. $M_{1}$ , $M_{2}$ and $M_{3}$ produces $5 %, 4 %$ and $2 %$ defective products, respectively. A bolt is drawn at random from the product and is found to be defective.What is the probability of that it is manufactured by machine $M_{2}$ ?

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