To answer this question we will use the following expression to compute the theoretical probability that an event occurs:
[tex]\frac{number\text{ of favorable cases}}{number\text{ of total cases}}.[/tex]Now, the possible outcomes of the sum are:
Notice that there are 4 favorable cases, and 36 cases in total, therefore, the probability that the sum of the numbers rolled is either 2 or 4 is:
[tex]\frac{4}{36}\text{.}[/tex]Simplifying the above result we get:
[tex]\frac{1}{9}\text{.}[/tex]Answer:
[tex]\frac{1}{9}\text{.}[/tex]