Q. 594.0( 1 Vote )

Mark the correct alternative in each of the following:

Let A and B be two events such that P(A) = 0.6, P(B) = 0.2 and P(A/B) = 0.5. Then equals.

A. 1/10

B. 3/10

C. 3/8

D. 6/7

Answer :

P(A) = 0.6 , P(B) = 0.2 , P = 0.5 (Given)



(1)



= 1 – 0.2


= 0.8


Also,



= 1 – P(AB) (3)


Using (2) & (3) in Equation (1) we get,


(3)


Now,



P(AB) = 0.5 P(B) From (Given)


P(AB) = 0.5 0.2


P(AB) = 0.1


According to the addition theorem of probability,


P(AB) = P(A) + P(B) – P(AB)


= 0.6 + 0.2 – 0.1


= 0.8 – 0.1


= 0.7 (4)


Putting (4) in equation (3) we get,




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