# There are t

Given:

10 students are in category A

30 students are in category B

20 students are in category C

Let us assume U1, U2, U3 and A be the events as follows:

U1 = Choosing student from category A

U2 = choosing student from category B

U3 = choosing student from category C

A = Not getting good marks in final examination

Now,

P(A|U1) = P(student not getting good marks from category A)

P(A|U2) = P(student not getting good marks from category B)

P(A|U3) = P(student not getting good marks from category C)

Now we find

P(U3|A) = P(The student is from category C given that he didn’t get good marks in final examination)

Using Baye’s theorem:

The required probability is .

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