A company has two plants to manufacture scooters. Plant I manufactures 70% of the scooters and Plant II manufactures 30%. At Plant I, 80% of the scooters are rated as of standard quality and at Plant II, 90% of the 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 II?

Explanation

`E_1`​ is the plant I manufactured scooter


`E_2​` the plant II manufactured scooter

Then,


`P(E_1​)=(70)/(100)​`


`P(E_2​)=(30)/(100)​​`
...