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

The Correct Option is C

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