Question

Emilio rolls a typical 6-sided number cube. List the outcomes for him rolling an even number divisible by 3. (7 points)
Responses

{1,3,5}
{1,3,5}

{3}
{3}

{6}
{6}

{2,4,6,}
{2,4,6,}

Answer 1

To determine the outcomes for Emilio rolling an even number that is also divisible by 3 on a 6-sided number cube, we need to identify the even numbers on the cube and see which of those are divisible by 3.

The even numbers on a 6-sided die are: {2, 4, 6}.

Now, 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 on a 6-sided die that is also divisible by 3 is 6.

Therefore, the outcome for Emilio rolling an even number divisible by 3 is:

**{6}**