CUET Preparation Today
If $A$ and $B$ are events such that $P(A/B) = P(B/A) \neq 0$, then: |
$A \subset B, \text{ but } A \neq B$ $A = B$ $A \cap B = \phi$ $P(A) = P(B)$ |
$P(A) = P(B)$ |
The correct answer is Option (4) → $P(A) = P(B)$ ## Given: $P\left(\frac{A}{B}\right) = P\left(\frac{B}{A}\right)$ $⇒\frac{P(A \cap B)}{P(B)} = \frac{P(B \cap A)}{P(A)}$ $⇒\frac{P(A \cap B)}{P(B)} = \frac{P(A \cap B)}{P(A)}$ $⇒P(A) = P(B)$ |
