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A company has two plants to manufacture ...

A company has two plants to manufacture motorcycles. 70% motorcycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motorcycles are rated of standard quality, while at the second plant, 90% are rated of standard quality. A motorcycle, randomly picked up, is found to be standard quality. Find the probability that it has come out from the second plant.

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