Which of the following correctly represents the conditional probability (given that )?

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

Problem

Which of the following correctly represents the conditional probability P(E∣F)P(E\mid F) (given that P(F)≠0P(F)\neq0)? (a) P(E)P(F)\displaystyle P(E)P(F) (b) P(E∩F)P(F)\displaystyle \frac{P(E\cap F)}{P(F)} (c) P(E∪F)P(F)\displaystyle \frac{P(E\cup F)}{P(F)} (d) P(E∩F)P(E)\displaystyle \frac{P(E\cap F)}{P(E)}

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