Question

An article manufactured by a company consists of two parts A and B. In the process of manufacture of part À,9 out of 104 parts may be defective. Similarly. 5 out of 100 are likely to be defective in the manufacture of part B. Calculate the probability that the article manufactured will not be defective?

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{probability}\mathrm{that}\mathrm{A}\mathrm{is}\mathrm{defective}=\frac{9}{104} \\ \mathrm{The}\mathrm{probability}\mathrm{that}\mathrm{B}\mathrm{is}\mathrm{defective}=\frac{5}{100}=\frac{1}{20} \\ \mathrm{So}\mathrm{probability}\mathrm{that}\mathrm{article}\mathrm{manufactured}\mathrm{will}\mathrm{not}\mathrm{be}\mathrm{defective} \\ =1-\frac{9}{104}\times \frac{1}{20} \\ =\frac{2080-9}{2080}=\frac{2071}{2080} \end{gathered}$$