For any two events A and B.

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Mathematics

Basic Definitions Related to Probability

Question

P(A) + P(B) > P(A∩B)

P(A) + P(B) < P(A∩B)

P(A) + P(B) ≥ P(A∩B)

P(A) + P(B) ≤ P(A∩B)

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If A and B are any two events then the probability of happening of at least one of the events is defined as

P(A⋃B) = P(A) + P(B) – P(A∩B).

⇒ P(A) + P(B) = P(A⋃B) + P(A∩B)

⇒ P(A) + P(B) ≥ P(A∩B)

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