**Given:** X and Y are the two parts of a company that manufactures an article.

Here the probability of the parts being defective is given i.e,

P(X) = \(\frac{8}{100}\) and P(y) = \(\frac{5}{100}\)

\(\Rightarrow\) P(\(\overline x\)) = \(\frac{92}{100}\) and P(\(\overline y\)) = \(\frac{95}{100}\)

**To Find: **the probability that the assembled product will not be defective.

**Here,**

P(product assembled will not be defective)

= 1 – P(product assembled to be defective)

=1 – [P(X and not Y) + P(Y and not X) + P(both)]

= \(\frac{437}{500}\)

**Therefore, **The probability that the assembled product will not be defective is\(\frac{437}{500}\).