To find the possible outcomes for rolling an even number that is also divisible by 3 on a standard 6-sided number cube, we first identify the even numbers from 1 to 6. The even numbers are:
- 2
- 4
- 6
Next, we check which of these even numbers are divisible by 3:
- 2 is not divisible by 3.
- 4 is not divisible by 3.
- 6 is divisible by 3.
Thus, the only even number that is divisible by 3 is 6.
The possible outcome for Emilio to roll an even number that is divisible by 3 is:
{6}
So the correct answer is {6}.