Q. 54

Mark the correct alternative in each of the following:

If A and B are such that and then

A. 9/10

B. 10/9

C. 8/9

D. 9/8

Answer :

P(AB) = , P = (Given)


Now,


P = P(AB) (1)


P(AB) = 1 - P(AB)


From (Given) & (1)



Also,


P = 1 – P(A) (2)


P = 1 – P(B) (3)


Now, according to the addition theorem of probability:


P(AB) = P(A) + P(B) – P(AB)




From (2) & (3)



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