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Probability

Oswaal

CBSE

Grade 12

Question:

If $A$ and $B$ are two events such that $P(A) > 0$ and $P(B)
eq 1$, then $P(A'|B')$ is:
(a) $\frac{1 - P(A \cup B)}{1 - P(B)}$
(b) $\frac{1 - P(A \cap B)}{1 - P(B)}$
(c) $\frac{P(A')}{P(B')}$
(d) $1 - P(A|B)$

Step-by-Step Solution

Key Concept: P(A' \cap B') / P(B') = (1 - P(A \cup B)) / (1 - P(B)).

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Correct Answer: $\frac{1 - P(A \cup B)}{1 - P(B)}$

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