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A company manufactures scooters at two plants, and B. plant A produces and plant B produces of the total product. of the scooters produced at pant and of the scooters produced at plant are of standard quality. A scooter produced by the company is selected at random, and it is found to be of standard quality. What is the probability that it was manufactured at plant A?

Let S : Standard quality
We want to find , i.e. probability that selected standard scooter is from
plant A

Where, probability that scooter is from
probability that scooter is from
probability that standard scooter from
probability that standard scooter from

Therefore, the probability of selected standard scooter is from plant is