Two events A and B are mutually exclusive. Under what condition can they also be independent? A. Always B. Never C. Only if P(A) = 0 or P(B) = 0 D. Only if P(A) = P(B) Answer: C) Only if P(A) = 0 or P(B) = 0 Explanation: Mutually exclusive means P(A∩B) = 0. Independent means P(A∩B) = P(A)P(B). So P(A)P(B) = 0, which means either P(A) = 0 or P(B) = 0.

imo class 12 probability

Two events A and B are mutually exclusive. Under what condition can they also be independent?

VAVidaara Admin Asked 6d ago 0 views 0 answers

Two events A and B are mutually exclusive. Under what condition can they also be independent?

Answer: C) Only if P(A) = 0 or P(B) = 0

Explanation: Mutually exclusive means P(A∩B) = 0. Independent means P(A∩B) = P(A)P(B). So P(A)P(B) = 0, which means either P(A) = 0 or P(B) = 0.