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Mathematics · JEE | PROBABILITY

हिन्दी

What is the multiplication rule of probability for two events \( E \) and \( F \) when \( P(E) \neq 0 \) and \( P(F) \neq 0 \)?

  1. A
    \( P(E \cap F) = P(E) \cdot P(E|F) \)
  2. B
    \( P(E \cap F) = P(E|F) \cdot P(F|E) \)
  3. C
    \( P(E \cap F) = P(E) \cdot P(F|E) \)
  4. D
    \( P(E \cap F) = P(E) + P(F) \)
View Answer & Solution

Correct answer · Option C

\( P(E \cap F) = P(E) \cdot P(F|E) \)

Explanation

By the multiplication rule, \( P(E \cap F) = P(E) \cdot P(F|E) \) or \( P(F) \cdot P(E|F) \).
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