sixe sided die so number of possible outcome is=6
And a die with even number is (2,4,6)
so number of favorable outcome is:3
then probability is:
[tex]\begin{gathered} \text{probability}=\frac{favorable-outcom\text{ }}{\text{total outcom}} \\ =\frac{3}{6} \\ =\frac{1}{2} \end{gathered}[/tex]so probability is half.