Probability — Hard JEE math MCQ
A computer producing factory has only two plants $T_{1}$ and $T_{2}$. Plant $T_{1}$ produces $20 \%$ and plant $T_{2}$ produces $80 \%$ of the total computers produced. $7 \%$ of computers produced in the factory turn out to be defective. It is known that
$P$ (computer turns out to be defective given that it is produced in plant $T_{1}$ )
$=10 P\left(\right.$ computer turns out to be defective given that it is produced in plant $\left.T_{2}\right)$,
where $P(E)$ denotes the probability of an event $E$. A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant $T_{2}$ is
- A. $\frac{36}{73}$
- B. $\frac{47}{79}$
- C. $\frac{78}{93}$
- D. $\frac{75}{83}$
Solution
The correct option is **C**.
