Question

If you roll a standard number cube, determine the probability that you roll an even number or a 5.(1 point)
Responses

Answer 1

A standard number cube (or die) has six faces, numbered from 1 to 6. The even numbers on a die are 2, 4, and 6.

We want to determine the probability of rolling an even number or a 5. Let's identify the numbers that satisfy either condition:

- Even numbers: 2, 4, 6
- The number 5

Now, we can list these outcomes:
- Even outcomes: 2, 4, 6 (3 outcomes)
- Outcome for rolling a 5: 5 (1 outcome)

Note that none of the even numbers overlap with the number 5, so we can simply add the number of successful outcomes.

Total successful outcomes = 3 (even numbers) + 1 (the number 5) = 4 outcomes.

Now, the total number of possible outcomes when rolling one die is 6.

Thus, the probability of rolling an even number or a 5 is:

\[
P(\text{even or 5}) = \frac{\text{Number of successful outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3}
\]

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