Probability — Class 12 Maths Solution

exemplar fill FillBlank NCERT,Exemp,Q.108,Page.286
Question

Let $A$ and $B$ be two events. If $P(A/B) = P(A)$, then A is ………… of B.

Step-by-step Solution

$P(A/B) = \frac{{P(A \cap B)}}{{P(B)}}$

$\Rightarrow$ $P(A) = \frac{{P(A \cap B)}}{{P(B)}}$

$\Rightarrow$ $P(A) \cdot P(B) = P(A \cap B)$

So, A is independent of B.

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Probability. Curated by Sachin Sharma. Free for all students.