question_answer

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

A)  \[\frac{27}{83}\]                                  

B)  \[\frac{56}{83}\]

C)  \[\frac{27}{56}\]                                  

D)  \[\frac{46}{83}\]

E)  None of these