Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

The events A and B are dependent if :

Options:

$P(A∩B)=P(A)P(B)$

$P(A∩B)≠P(A)P(B)$

$P(A∩B')=P(A)P(B')$

$P(A∩B)=P(A')P(B)$

Correct Answer:

$P(A∩B)≠P(A)P(B)$

Explanation:

$\text{Events }A \text{ and } B \text{ are independent if } P(A\cap B)=P(A)P(B).$

$\text{Hence, they are dependent if this condition is not satisfied.}$

$P(A\cap B)\ne P(A)P(B).$