If $A$ and $B$ are events such that $P(A/B) = P(B/A),$ then
(A) $A \subset B$ but $A \ne B$
(B) $A = B$
(C) $A \cap B = \phi$
(D) $P(A) = P(B)$
If $A$ and $B$ are events such that $P(A/B) = P(B/A),$ then
(A) $A \subset B$ but $A \ne B$
(B) $A = B$
(C) $A \cap B = \phi$
(D) $P(A) = P(B)$
Official Solution
VVidaara Team
✓ Verified solution
NCERT & Exemplar
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
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