Question
If you roll a standard number cube, determine the probability that you roll an even number or a 5.(1 point) Responses 16 Start Fraction 1 over 6 End Fraction 23 Start Fraction 2 over 3 End Fraction 12 Start Fraction 1 over 2 End Fraction 112
Answers
GPT-4o mini
A standard number cube (die) has six faces numbered from 1 to 6. The even numbers on the die are 2, 4, and 6, and there is also the number 5.
**Step 1: Identify the outcomes**
- Even numbers: 2, 4, 6 (3 outcomes)
- The number 5: 5 (1 outcome)
**Step 2: Combine the events**
We want the probability of rolling an even number or a 5. The even numbers (2, 4, and 6) and the number 5 do not overlap, so we can add the probabilities together.
Total favorable outcomes = Number of even outcomes + Number of 5s = 3 + 1 = 4
**Step 3: Calculate the probability**
The total number of outcomes when rolling a die is 6.
The probability \( P \) of rolling an even number or a 5 is given by:
\[
P(\text{even or 5}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3}
\]
Therefore, the answer is:
\[
\frac{2}{3}
\]
**Step 1: Identify the outcomes**
- Even numbers: 2, 4, 6 (3 outcomes)
- The number 5: 5 (1 outcome)
**Step 2: Combine the events**
We want the probability of rolling an even number or a 5. The even numbers (2, 4, and 6) and the number 5 do not overlap, so we can add the probabilities together.
Total favorable outcomes = Number of even outcomes + Number of 5s = 3 + 1 = 4
**Step 3: Calculate the probability**
The total number of outcomes when rolling a die is 6.
The probability \( P \) of rolling an even number or a 5 is given by:
\[
P(\text{even or 5}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3}
\]
Therefore, the answer is:
\[
\frac{2}{3}
\]