Question

The probability of getting a number greater than $2$ in throwing a die is

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. $\frac{1}{2}$
• D. $\frac{1}{6}$

Answer 1

The correct option is B

$\frac{2}{3}$

Calculate the probability

Whenever we thrown a die the possibility of getting number of outcomes is $6$

Now, a die is thrown,

Getting total number of outcomes $Z=\left\{1,2,3,4,5,6\right\}$

Then number of favourable outcomes $\left(whereZ>2\right)=\left\{3,4,5,6\right\}$

$\therefore$The probability of getting a number which is greater than $2$

$$\begin{gathered} P\left(Z>2\right)=\frac{no.offavorableoutcomes}{Totalno.ofoutcomes} \\ \Rightarrow P\left(Z>2\right)=\frac{4}{6} \\ \Rightarrow P\left(Z>2\right)=\frac{2}{3} \end{gathered}$$

Therefore, probability of getting a number greater than $2$ in throwing a die is $\frac{2}{3}$, so, the correct answer is option (B).