Q. 24

# 40% students of a

Answer :

Let events E1, E2be the following:

E1 be the event that the student is a hosteller

and E2 be the event that the student reside outside

So, Now, Let E be the event that the chosen student gets A grade

P(E|E1) is the probability that the student getting A grade is hosteller

P(E|E2) the probability that the student getting A grade is an outside student We use Bayes’ theorem to find the probability that a randomly chosen student is a hosteller, given that he got A grade, given by P(E1|E)      [Divide by 2 both numerator and denominator]

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