If A and B are events such that P(A/B) = P(B/A), then (A) A B but A B (B) A = B (C) A B = (D) P(A) = P(B)

Option D is correct (D): Given, P(A/B) = P(B/A) P(B) = P(A) P(B) = P(A) Exercise-13.2

Probability — Class 12 Maths Solution

ncert exercise SA NCERT,EX.13.1,Q.17,Page.540

Question

If $A$ and $B$ are events such that $P(A/B) = P(B/A),$ then

(A) $A \subset B$ but $A \ne B$

(B) $A = B$

(D) $P(A) = P(B)$

Step-by-step Solution

Option D is correct

$(D):$ Given, $P(A/B) = P(B/A)$

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

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

Exercise-13.2

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