1. Tardigrade
  2. Question
  3. Mathematics
  4. A car manufacturing factory has two plants X and Y. Plant X manufactures 70 % of cars and plant Y manufactures 30 % of cars. 80 % of cars at plant X and 90 % of cars at plant Y are rated as standard quality. A car is chosen at random and is found to be of standard quality. The probability that it has come from plant X is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A car manufacturing factory has two plants $X$ and $Y$. Plant $X$ manufactures $70 \%$ of cars and plant $Y$ manufactures $30 \%$ of cars. $80 \%$ of cars at plant $X$ and $90 \%$ of cars at plant $Y$ are rated as standard quality. $A$ car is chosen at random and is found to be of standard quality. The probability that it has come from plant $X$ is

KCETKCET 2021Probability - Part 2

Solution:

$=\frac{\frac{70}{100} \times \frac{80}{100}}{\frac{70}{100} \times \frac{80}{100}+\frac{90}{100} \times \frac{30}{100}}$
$=\frac{56}{83}$