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Probability
NCERT Class 12
CBSE
Grade 12

Question:

If $P(A) = \frac{1}{2}, P(B) = \frac{3}{8}$ and $P(A \cup B) = \frac{5}{8}$, then $P(A|B)$ is:
(a) $\dfrac{2}{3}$
(b) $\dfrac{1}{3}$
(c) $\dfrac{1}{4}$
(d) $\dfrac{1}{2}$

Step-by-Step Solution

$P(A \cap B) = 1/4 \Rightarrow P(A|B) = \dfrac{1/4}{3/8} = \dfrac{2}{3}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating $P(A|B) = 2/3$: 1.0 Mark

Correct Answer: $\dfrac{2}{3}$
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