Q. 43

Mark the correct alternative in each of the following:

If A and B are two independent events such that P(A) = 0.3, P(A B) = 0.5, then P(A/B) – P(B/A) =

A. 2/7

B. 3/35

C. 1/70

D. 1/7

Answer :

P(A) = 0.3 , P(AB) = 0.5 (Given)


Since, A and B are two independent events,


P(AB) = P(A) P(B)


P(AB) = 0.3 P(B) (1)


Also, according to the addition theorem of probability,


P(AB) = P(A) + P(B) – P(AB)


0.5 = 0.3 + P(B) – 0.3P(B) From (Given) & (1)


0.7P(B) = 0.2


P(B) = = (2)


Putting value of P(B) in equation (1) we get,


P(AB) = 0.3 =


P(AB) = (3)


Now,



From (3) & (2) and (Given)




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