If A and B are events such that P(A/B) = P(B/A), then : Option 1: A = B Option 2: A B = Option 3: A B but A ≠ B Option 4: P(A) = P(B)

Answer: P(A) = P(B). Solution: P(A/B) = (P(A B))/(P(B)) and P(B/A) = (P(A B))/(P(A)). Given these are equal: (P(A B))/(P(B)) = (P(A B))/(P(A)). Assuming P(A B) ≠ 0, we get P(A) = P(B).

Applied Mathematics

Algebra

Easy

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

$A = B$

$A \cap B = \emptyset$

$A \subset B$ but $A \neq B$

$P(A) = P(B)$

✅ Correct Option: 4

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

Given these are equal: $\frac{P(A \cap B)}{P(B)} = \frac{P(A \cap B)}{P(A)}$ .

Assuming $P(A \cap B) \neq 0$ , we get $P(A) = P(B)$ .

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Solution for the inequality $|3x - 7| \leq 2$ is :

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Evaluate $3^{15} \mod(7)$

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

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

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