Question

If you roll a standard number cube, determine the probability that you roll an even number or a 5. (1 point) 1/12 1/6 2/3 1/2

Answer 1

To determine the probability of rolling an even number or a 5 on a standard number cube (which has faces numbered 1 through 6), we first identify the outcomes.

The even numbers on a standard number cube are:
- 2
- 4
- 6

So, the even outcomes are: {2, 4, 6}, which gives us 3 successful outcomes.

Additionally, the outcome that is a 5 is: {5}, which gives us 1 successful outcome.

Now, we will combine these two sets of outcomes. However, since 5 is not an even number, there is no overlap between the two sets.

Total number of successful outcomes:
- Even outcomes = 3
- Outcome that is a 5 = 1
- Total successful outcomes = 3 + 1 = 4

The total number of possible outcomes when rolling one number cube is 6 (1, 2, 3, 4, 5, 6).

Now we can calculate the probability:
\[
\text{Probability} = \frac{\text{Number of successful outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3}
\]

Thus, the probability that you roll an even number or a 5 is \(\frac{2}{3}\).

Therefore, the answer is \( \frac{2}{3} \).