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An article manufactured by a company consists of two parts X and Y. In the process of manufacture of part X, 8 out of 100 parts may be defective. Simi

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An article manufactured by a company consists of two parts X and Y. In the process of manufacture of part X, 8 out of 100 parts may be defective. Similarly, 5 out of 100 parts of Y may be defective. Calculate the probability that the assembled product will not be defective. Select the correct answer from above options

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Correct Answer - `437/500`

P(X is defective) `=8/100=2/25`.

P(Y is defective) `=5/100=1/20`.

P(X is not defective) `=(1-2/25)=23/25`

P(Y is not defective) `=(1-1/20)=19/20`.

Requird probability = P(assembled part is not defective)

`=P` (X is not defective and Y is not defective(

`=(23/25xx19/20)=437/500`.

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