Question

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

A standard number cube (die) has six faces, numbered from 1 to 6. The even numbers on a standard die are 2, 4, and 6. Additionally, we can also consider the number 5.

To find the probability of rolling an even number or a 5, we first identify the favorable outcomes:

- Even numbers: 2, 4, 6 (3 outcomes)
- The number 5: (1 outcome)

Next, we check if there is any overlap between the two events. Since 5 is not an even number, there is no overlap.

Now we can count the total number of favorable outcomes:

- Total favorable outcomes = (3 even numbers) + (1 for the number 5) = 4

The total number of outcomes when rolling a die is 6 (since the die has faces numbered 1 through 6).

Now we can calculate the probability:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{4}{6} = \frac{2}{3}
\]

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