Question

If an event cannot occur, then its probability is

• A. $1$
• B. $\frac{3}{4}$
• C. $\frac{1}{2}$
• D. $0$

Answer 1

The correct option is D

$0$

Explanation for the correct answer:

An event which cannot occur is said to be an impossible event.

An impossible set is equal to $\varphi$( null set)

The probability of such an event is $p\left(E\right)=p\left(\varphi \right)=0$

For eg: Obtaining the number $7$ on rolling a fair die is an impossible event and the probability of such an event is $0$.

Hence, an event which cannot occur has the probability of $0$, so, option $\left(D\right)$ is the correct answer.