Question

A company manufactures scooters at two plants, A and B. Plant A produces 80% and plant B produces 20% of the total product. 85% of the scooters produced at plant A and 65% of the scooters produced at plant B 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? Select the correct answer from above options

Answer 1

Consider S as the standard quality Here we should determine P (A/S) – probability that selected standard scooter is from plant A We know that Probability that scooter is from A P (A) = 80/100 Probability that scooter is from B P (B) = 20/100 Probability that standard scooter from A P (S/A) = 85/100 Probability that standard scooter from B P (S/B) = 65/100 So we get On further calculation = 68/81 Hence, the probability of selected standard scooter is from plant A is 68/81.