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The chances of defective screws in three...

The chances of defective screws in three boxes A,B,C are 1/5, 1/6, 1/7, respectively. A box is selected at random oand a screw drawn from it at random is found to be defective. Then find the probability that it came from box A.

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In a factory which manufactures bolts, machines A. B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine B?

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