Question 64

An article manufactured by a company consists of two parts: Part I and Part II. In theprocess of manufacturing of Part I, 9 products out of 100 are likely to be defective.Similarly, 5 products out of 100 are likely to be defective in the manufacture of Part II.What is the probability that the final assembled article will NOT be defective?

Solution

Probability to be defective for part I = $$\frac{9}{100}$$

Probability to be defective for part II = $$\frac{5}{100}$$

Final assembled problem will not be defective if part I and part II are not defective.

Probability = $$\frac{91}{100}\times\ \frac{95}{100}$$ = 0.8645

Answer is option B.

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