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Mathematics · JEE | PROBABILITY

हिन्दी

If A and B are two events such that \( A \subset B \) and \( P(B) \neq 0 \), then which of the following is correct?

  1. A
    \( P(A|B) = \frac{P(B)}{P(A)} \)
  2. B
    P(A|B) < P(A)
  3. C
    \( P(A|B) \ge P(A) \)
  4. D
    None of these
View Answer & Solution

Correct answer · Option C

\( P(A|B) \ge P(A) \)

Explanation

Since \( A \subset B \), \( A \cap B = A \). Thus \( P(A|B) = \frac{P(A)}{P(B)} \). Since \( P(B) \le 1 \), \( P(A|B) \ge P(A) \).
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