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

112
Start Fraction 1 over 12 End Fraction

12
Start Fraction 1 over 2 End Fraction

16
Start Fraction 1 over 6 End Fraction

Answer 1

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

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

1. **Even numbers on the die:** 2, 4, and 6 (3 outcomes)
2. **Rolling a 5:** just 5 (1 outcome)

Since 5 is not an even number, the outcomes do not overlap. Therefore, we can simply add the number of successful outcomes:

- Total successful outcomes = Number of even outcomes + Number of outcomes for rolling a 5 = 3 (even numbers) + 1 (rolling a 5) = 4.

Now, there are 6 possible outcomes when rolling a die (1, 2, 3, 4, 5, 6).

The probability of rolling an even number or a 5 is given by the ratio of successful outcomes to total outcomes:

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

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

The correct response is **\( \frac{2}{3} \)**.