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Probability

RS Aggarwal

CBSE

Grade 12

Question:

If $P(A) = 2/5, P(B) = 3/10, P(A \cap B) = 1/5$, then $P(A'/B')$ is:
(a) $1/2$
(b) $3/7$
(c) $5/7$
(d) $2/7$

Step-by-Step Solution

Key Concept: P(A \cup B) = 2/5 + 3/10 - 1/5 = 1/2 => P(A' \cap B') = 1/2. P(B') = 7/10 => P(A'|B') = 5/7.

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Correct Answer: $1/2$

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