Let A and B be the events such that

and


Find


(i) P(A B)


(ii) P(A / B)


(iii) P(B / A)


(iv)



Given - A and B be the events such that and



To find – (i) (ii) (iii)(iv)


Formula to be used – By conditional probability, where is the probability of occurrence of the event A given that B has already occurred.


(i)





(ii)






(iii)





(iv)


Now, by De-Morgan’s Law,








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