Question
A 12-sided die is rolled. The set of equally likely outcomes is StartSet 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 comma 11 comma 12 EndSet . Find the probability of rolling a number greater than 1.
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Part 1
The probability of rolling a number greater than 1 is
enter your response here.
(Type an integer or a simplified fraction.)
Question content area bottom
Part 1
The probability of rolling a number greater than 1 is
enter your response here.
(Type an integer or a simplified fraction.)
Answers
GPT-4o mini
To find the probability of rolling a number greater than 1 on a 12-sided die, we first determine the total number of outcomes and the number of favorable outcomes.
1. **Total Outcomes**: Since the die has 12 sides, there are 12 possible outcomes: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
2. **Favorable Outcomes**: The numbers greater than 1 in this set are {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. This gives us 11 favorable outcomes.
3. **Probability Calculation**:
\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} = \frac{11}{12}
\]
Thus, the probability of rolling a number greater than 1 is:
\[
\frac{11}{12}
\]
You can enter this as your response.
1. **Total Outcomes**: Since the die has 12 sides, there are 12 possible outcomes: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
2. **Favorable Outcomes**: The numbers greater than 1 in this set are {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. This gives us 11 favorable outcomes.
3. **Probability Calculation**:
\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} = \frac{11}{12}
\]
Thus, the probability of rolling a number greater than 1 is:
\[
\frac{11}{12}
\]
You can enter this as your response.