Question

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

23
Start Fraction 2 over 3 End Fraction

12
Start Fraction 1 over 2 End Fraction

112
Start Fraction 1 over 12 End Fraction

16

Answer 1

A standard number cube (die) has the numbers 1, 2, 3, 4, 5, and 6 on its faces.

First, let's identify the even numbers on the die:
- The even numbers are: 2, 4, 6.

Next, let's identify the outcomes that involve rolling a 5:
- The outcome is: 5.

Now we want to find the probability of rolling an even number or a 5. The even numbers and the 5 are different outcomes, so we can combine them to find the total favorable outcomes.

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

Therefore, the total number of favorable outcomes is:
\[ 3 \text{ (even numbers)} + 1 \text{ (5)} = 4 \text{ favorable outcomes} \]

The total number of possible outcomes when rolling a die is 6.

Now we can calculate the probability:
\[
P(\text{even number or 5}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3}
\]

Thus, the probability that you roll an even number or a 5 is:
\[
\frac{2}{3}
\]

The correct response is:
**Start Fraction 2 over 3 End Fraction**