Answer
The required solution of probability is, $\frac{1}{3}$
Work Step by Step
We know that when the die is rolled then the sample space of equally likely outcomes is $ S=\left\{ 1,2,3,4,5,6 \right\}$
Since there are six outcomes in the sample space, thus, $ n\left( S \right)=6$
Also, the event of getting a number greater than 4 can be represented as $ E=\left\{ 5,6 \right\}$
As there is only one outcome in this event, therefore, $ n\left( E \right)=2$
Hence, the probability of obtaining a number greater than 4 is:
$\begin{align}
& P\left( E \right)=\frac{n\left( E \right)}{n\left( S \right)} \\
& =\frac{2}{6} \\
& =\frac{1}{3}
\end{align}$
