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Mathematics · JEE | PROBABILITY

हिन्दी

If \( E \) and \( F \) are two events associated with the same sample space of a random experiment, then the conditional probability \( P(E|F) \) is defined as:

  1. A
    \( \frac{P(F)}{P(E)} \), provided \( P(E) \neq 0 \)
  2. B
    \( \frac{P(E \cup F)}{P(F)} \), provided \( P(F) \neq 0 \)
  3. C
    \( \frac{P(E)}{P(F)} \), provided \( P(F) \neq 0 \)
  4. D
    \( \frac{P(E \cap F)}{P(F)} \), provided \( P(F) \neq 0 \)
View Answer & Solution

Correct answer · Option D

\( \frac{P(E \cap F)}{P(F)} \), provided \( P(F) \neq 0 \)

Explanation

By definition, conditional probability is \( P(E|F) = \frac{P(E \cap F)}{P(F)} \) where \( P(F) \neq 0 \).
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