A standard number cube (or die) has the numbers 1 through 6. We need to determine the probability of rolling an even number or a 5.
- Identify the even numbers on a die: The even numbers are 2, 4, and 6. This gives us a total of 3 even numbers.
- Identify the number 5: This is 1 additional outcome.
Now, let's list the favorable outcomes:
- Even numbers: 2, 4, 6 (3 outcomes)
- The number 5: 5 (1 outcome)
Now we can count the total unique favorable outcomes:
- The even numbers are 2, 4, and 6.
- The number 5 adds 1 outcome.
Thus, the favorable outcomes are: 2, 4, 5, 6 (or a total of 4 favorable outcomes: 2, 4, 5, 6).
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Total outcomes when rolling a die: There are a total of 6 possible outcomes (1, 2, 3, 4, 5, 6).
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Calculate the probability: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3} \]
Thus, the probability that you roll an even number or a 5 is \(\frac{2}{3}\).
The correct answer is: \[ \frac{2}{3} \]
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