Q54 of 249 Page 31

Mark the correct alternative in each of the following:

If A and B are such that and then


P(A∪B) = , P = → (Given)


Now,


P = P(A∩B) → (1)


P(A∩B) = 1 - P(A∩B)


→ From (Given) & (1)



Also,


P = 1 – P(A) → (2)


P = 1 – P(B) → (3)


Now, according to the addition theorem of probability:


P(A⋃B) = P(A) + P(B) – P(A⋂B)




→ From (2) & (3)



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