Answer
The fractions of outcomes which is even or greater than 3 is $\frac{2}{3}$.
Work Step by Step
We know that the sample space of equally likely outcomes is $ S=\left\{ 1,2,3,4,5,6 \right\}$.
There are six outcomes in the sample space, so $ n\left( S \right)=6$.
And the event of getting an even number or a number greater than 3 is $ E=\left\{ 2,4,5,6 \right\}$.
There are four outcomes in this event, so $ n\left( E \right)=4$.
Therefore, the probability of rolling an even number or a number greater than 3 is:
$\begin{align}
& P\left( E \right)=\frac{n\left( E \right)}{n\left( S \right)} \\
& =\frac{4}{6} \\
& =\frac{2}{3}
\end{align}$
Thus, the fractions of outcomes which is even or greater than 3 is $\frac{2}{3}$.
