Question

In a throw of a dice, the probability of getting the number $7$ is

• A. $\frac{1}{2}$
• B. $\frac{1}{6}$
• C. $1$
• D. $0$

Answer 1

The correct option is D

$0$

Explanation for the correct option.

Compute the required probability.

The formula of probability:

$\text{Probability of an event to happen=}\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

Since the set of numbers present on a die is $\{1,2,3,4,5,6\}$.

Therefore, the total number of outcomes is $6$.

Since the set of numbers for getting $7$ on a die is $\{\varnothing \}$.

Therefore, the number of outcomes in favor is $0$.

So, the required probability $P$ will be given by:

$$\begin{gathered} P=\frac{0}{6} \\ \Rightarrow P=0 \end{gathered}$$

Hence, option $D$ is the correct answer.