An article manufactured by a company consists of two parts X and Y. In the process of manufacture of the part X, 9 out of 100 parts may be defective. Similarly, 5 out of 100 are likely to be defective in the manufacture of part Y. Calculate the probability that the assembled product will not be defective.

Explanation

Let `{A}=` Part `{X}` is not defective

Probability of `A` is `P(A)=frac{91}{100}`

`B=` Part `Y` is not defective.

Probability of `B` is `P(B)=frac{95}{100}`

Required probability `P(A cap B)=P(A) P(B)`



`=frac{91}{100} times frac{95}{100}`


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