Target Exam

CUET

Subject

Maths. Section B1

Chapter

Probability

Question:

If $A$ and $B$ are two events and $A \neq \phi, B \neq \phi$, then

Options:

$P(A \mid B) = P(A) \cdot P(B)$

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

$P(A \mid B) \cdot P(B \mid A) = 1$

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

Correct Answer:

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

Explanation:

The correct answer is Option (2) → $P(A \mid B) = \frac{P(A \cap B)}{P(B)}$ ##

If $A \neq \phi$ and $B \neq \phi$, then $P(A \mid B) = \frac{P(A \cap B)}{P(B)}$   [by conditional probability]