Question

If you roll a standard number cube, determine the probability that you roll an even number or a 5.(1 point) Responses 12 Start Fraction 1 over 2 End Fraction 16 Start Fraction 1 over 6 End Fraction 23 Start Fraction 2 over 3 End Fraction 112

Answer 1

To find the probability of rolling an even number or a 5 on a standard number cube (which has the numbers 1 through 6), we first determine the successful outcomes for each event.

1. **Even numbers on a number cube:** The even numbers are 2, 4, and 6. Therefore, there are 3 even numbers.

2. **Rolling a 5:** There is 1 outcome where you roll a 5.

Next, we need to check if these two events (rolling an even number and rolling a 5) overlap. Since 5 is not an even number, there are no overlapping outcomes.

Now we can calculate the total number of successful outcomes:
- Successful outcomes for even numbers: 3 (2, 4, 6)
- Successful outcomes for rolling a 5: 1 (5)

Total successful outcomes = 3 (even) + 1 (5) = 4

Now, the total possible outcomes when rolling a standard number cube is 6 (1, 2, 3, 4, 5, 6).

So, the probability of rolling an even number or a 5 is given by the formula:

\[
\text{Probability} = \frac{\text{Number of Successful Outcomes}}{\text{Total Possible Outcomes}} = \frac{4}{6} = \frac{2}{3}
\]

Thus, the answer is:

\(\frac{2}{3}\)