Question

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

112
Start Fraction 1 over 12 End Fraction

12
Start Fraction 1 over 2 End Fraction

16
Start Fraction 1 over 6 End Fraction

23
Start Fraction 2 over 3 End Fraction

Answer 1

A standard number cube (or die) has the numbers 1 through 6. We need to determine the probability of rolling an even number or a 5.

1. **Identify the even numbers on a die**: The even numbers are 2, 4, and 6. This gives us a total of 3 even numbers.
2. **Identify the number 5**: This is 1 additional outcome.

Now, let's list the favorable outcomes:
- Even numbers: 2, 4, 6 (3 outcomes)
- The number 5: 5 (1 outcome)

Now we can count the total unique favorable outcomes:
- The even numbers are 2, 4, and 6.
- The number 5 adds 1 outcome.

Thus, the favorable outcomes are: 2, 4, 5, 6 (or a total of 4 favorable outcomes: 2, 4, 5, 6).

3. **Total outcomes when rolling a die**: There are a total of 6 possible outcomes (1, 2, 3, 4, 5, 6).

4. **Calculate the probability**:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3}
\]

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

The correct answer is:
\[
\frac{2}{3}
\]