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Mathematics · JEE | PROBABILITY
हिन्दीConsider the following statements: (I) If P(A \mid B) > P(A), then P(B \mid A) > P(B). (II) If A and B are independent, then P(A \mid B) = P(A). (III) The conditional probability \( P(A \mid B) \) is defined only when \( P(B) \neq 0 \). (IV) Mutually exclusive events are always independent. How many of the above statements are correct?
View Answer & Solution
Correct answer · Option B
Only two
Explanation
Statements (I) and (II) are true (as symmetric property holds for positive probabilities via multiplication rule); (III) is true by definition denominator; (IV) is false. Thus, exactly 3 statements are correct.
