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There are three categories of students in a class of 60 students : 

A : Very hard working students 

B : Regular but not so hard working 

C : Careless and irregular 10 students are in category A, 30 in category B and rest in category C. It is found that probability of students of  category A, unable to get good marks in the final year examination is,0.002, of category B it is 0.02 and of category C, this probability is 0.20. A student selected at random was found to be the one who could not get good marks in the examination. Find the probability that this student is of category C, What values need to be developed in students of category C ?

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E1 : Student selected from category A

E2 : Student selected from category B

E3 : Student selected from category C

S : Student could not get good marks

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