Probability
NCERT Class 12
CBSE
Grade 12
Question:
If $P(A) = \dfrac{6}{11}, P(B) = \dfrac{5}{11}$ and $P(A \cup B) = \dfrac{7}{11}$, find $P(A \cap B)$ and $P(A|B)$.
Step-by-Step Solution
$P(A \cap B) = \dfrac{6+5-7}{11} = \dfrac{4}{11}$. [1.0 Mark]
$P(A|B) = \dfrac{4/11}{5/11} = \dfrac{4}{5}$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating $P(A \cap B) = 4/11$: 1.0 Mark
Evaluating $P(A|B) = 4/5$: 1.0 Mark
Correct Answer:
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