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A car manufacturing factory has two plan...

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

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The correct Answer is:
`(56)/(83)`
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