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CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1 · Q171 Marksindependence

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1 · Question 17 (Probability)

For independent events A and B, which statement is not generally correct?

(A) A′ and B are independent.
(B) Independence does not imply mutual exclusivity.
(C) P(A′∩B′)=[1−P(A′)][1−P(B′)].
(D) P(A′∩B′)=[1−P(A)][1−P(B)].

✅ Step-by-Step Solution

Final Answer: P(A′∩B′)=[1−P(A′)][1−P(B′)].

The correct complement product is (1−P(A))(1−P(B)). The third expression instead equals P(A)P(B), which need not be the same.

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