Mark the correct alternative in each of the following:

If A and B are two events such that P(A) = 0.4, P(B) = 0.3 and P(A ∪ B) = 0.5, then equals.


P(A) =0.4 , P(B) =0.3 , P(A⋃B) = 0.5 → (Given)


Now, according to the addition theorem of probability,


P(A⋃B) = P(A) + P(B) – P(A⋂B)


0.5 = 0.4 + 0.3 – P(A∩B)


P(A∩B) = 0.7 – 0.5


P(A∩B) = 0.2 → (1)


Now according to the image:


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P = P(A) – P(A⋂B)


= 0.4 – 0.2


= 0.2



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