Maths Probability Tutorial 11- Bayes’ Theorem

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A)A company has 2 plants to manufacture scooters. Plant 1 manufactures 70% of the scooters and plant 2 manufactures 30%. At plant 1, 80% of scooters are rated as of standard quality and at plant 2, 90% of scooters are rated as of standard quality. A scooter is chosen at random and is found to be of standard quality. What is the probability that it has come from plant 2 ?

B) An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accident involving a scooter driver, car driver and a truck is 0.01, 0.03 and 0.15 respectively. One of the insured person meets with an accident. What is the probability that he is a scooter driver?

Answers
(A)27/83 (B) 1/52

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