To find the outcomes when Emilio rolls a typical 6-sided number cube and looks for an even number that is also divisible by 3, we need to identify the even numbers on a 6-sided die: 2, 4, and 6.
Next, we check which of these even numbers are divisible by 3:
- 2: not divisible by 3
- 4: not divisible by 3
- 6: divisible by 3
So, the only outcome that is an even number and also divisible by 3 is {6}.
Therefore, the correct response is: {6}.