Q. 394.5( 2 Votes )

There are t

Answer :

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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