State the condition that must hold for two events and to be independent.

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

State the condition that must hold for two events AA and BB to be independent. (a) P(A∩B)=0P(A\cap B)=0 (b) P(A∣B)=P(A)P(B)P(A\mid B)=\dfrac{P(A)}{P(B)} (c) P(A∩B)=P(A) P(B)P(A\cap B)=P(A)\,P(B) (d) P(A∣B)=P(B∣A)P(A\mid B)=P(B\mid A)

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