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:
- Even numbers on the die: 2, 4, and 6 (3 outcomes)
- 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 \( \frac{2}{3} \).
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