Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If E and F are independent events associated with an experiment, then which one of the following statements is correct?

Options:

$P(E∩F) = 0$

$P(E∪F) = 1$

$P(E|F) = P(E)$

$P(E|F) = P(F)$

Correct Answer:

$P(E|F) = P(E)$

Explanation:

The correct answer is Option (1) → $P(E∩F) = 0$ **

For independent events $E$ and $F$:

$P(E\cap F)=P(E)P(F)$, so it is not necessarily $0$.

$P(E\cup F)$ is not always $1$.

Independence means:

$P(E\mid F)=P(E)$ .

Correct statements: Option 3