Q. 29

Mark the correct alternative in each of the following:

Associated to a random experiment two events A and B are such that P(B) = 3/5, P(A/B) = 1/2 and P(A B) = 4/5. The value of P(A) is

A. 3/10

B. 1/2

C. 1/10

D. 3/5

Answer :

According to the addition theorem of probability for two events A and B we have,


P(AB) = P(A) + P(B) – P(AB)


P(A) + P(B) – P(AB) = (1)


Now,



(Given)


(Given)



Now using Equation (1),







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