Question

Emilio rolls a typical 6-sided number cube. What are the possible outcomes for him to rool an even number that is divisible by 3?



(1 point)
Responses

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

{6}
{6}

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

{3}

Answer 1

To find the possible outcomes of rolling a typical 6-sided number cube (which has faces numbered 1 through 6) for an even number that is divisible by 3, we examine the conditions:

1. **Even numbers on a 6-sided die:** The even numbers are 2, 4, and 6.
2. **Numbers divisible by 3:** The numbers between 1 and 6 that are divisible by 3 are 3 and 6.

Now we need to find the intersection of the two conditions—numbers that are both even and divisible by 3.

From our lists:
- The even numbers are: 2, 4, 6.
- The numbers that are divisible by 3 are: 3, 6.

The only number that meets both criteria is **6**.

Thus, the possible outcome for Emilio to roll an even number that is divisible by 3 is {6}.

So the correct response is:
**{6}**