To determine the probability of rolling a 5 on a 12-sided cube, we need to follow these steps:
1. Identify Total Possible Outcomes:
- A 12-sided cube has numbers from 1 to 12. Therefore, there are 12 possible outcomes when rolling the cube.
2. Identify Favorable Outcomes:
- Rolling a 5 is the favorable outcome. Since there is only one face with the number 5, there is only one favorable outcome.
3. Calculate the Probability:
- The probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
4. Apply the Formula:
- The probability, [tex]\(P\)[/tex], of rolling a 5 is given by the formula:
[tex]\[
P = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{1}{12}
\][/tex]
Therefore, the probability of rolling a 5 on a 12-sided cube is [tex]\(\frac{1}{12}\)[/tex], or approximately 0.08333333333333333 when expressed as a decimal.
Among the given options, the correct answer is:
[tex]\[
\frac{1}{12}
\][/tex]
