To determine the probability of rolling a 5 on a 12-sided cube numbered from 1 to 12, let's follow a step-by-step approach:
1. Identify the total number of possible outcomes: Since the cube is 12-sided, there are 12 different numerical outcomes that can result from rolling the cube. Therefore, the total number of possible outcomes is 12.
2. Identify the number of favorable outcomes: We are interested in the specific event of rolling a 5. Since there is exactly one side of the cube labeled with the number 5, there is only 1 favorable outcome.
3. Calculate the probability: Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \][/tex]
In this case:
[tex]\[ \text{Probability of rolling a 5} = \frac{1}{12} \][/tex]
Therefore, the probability of rolling a 5 on a 12-sided cube is [tex]\(\frac{1}{12}\)[/tex].
Among the given options:
1. [tex]\(\frac{1}{12}\)[/tex]
2. 50%
3. 75%
4. [tex]\(\frac{1}{10}\)[/tex]
The correct answer is:
[tex]\(\frac{1}{12}\)[/tex].
