Q. 22

Mark the correct alternative in each of the following:

If P (A B) = 0.8 and P (A B) = 0.3, then

A. 0.3

B. 0.5

C. 0.7

D. 0.9

Answer :

For events A and B, addition theorem of probability


P(AB) = P(A) + P(B) – P(AB) (1)


Also,


(2)


(3)


Using equation (1)


0.8 = P(A) + P(B) – 0.3


P(A) + P(B) = 1.1


1 – P() + 1 – P() = 1.1 From (2) & (3)


2 – {P() + P()} = 1.1


P() + P() = 2 – 1.1


P() + P() = 0.9

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