Let E1 be th event 'Student is preparing for NDA', E2 be the event 'Student is preparing for Banking exams and X be the event 'Student was able to clear theexam' Given: P(E1)=0.6 and P(E2)=0.4 P(X|E1)= Probability 'Student was able to clear the exam given that he/she was preparing for NDA exam' = 0.3 P(X|E2)= Probability 'Student was able to clear the exam given that he/she was preparing for Banking exams' = 0.2 Here, we have to find the value of P(E1|X). As we know that according to bayes' theorem: P(Ei|A)=