Question

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 standard quality. The probability that it has come from plant X is

• A. $\frac{56}{73}$
• B. $\frac{56}{84}$
• C. $\frac{56}{83}$
• D. $\frac{56}{79}$

Answer 1

Answer: (C)

$\frac{56}{83}$

Answer 2

The correct answer is (C) : $\frac{56}{83}$.