Question

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling an 11.
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Part 1
The probability of rolling an 11 is
  
enter your response here.
​(Type an integer or a simplified​ fraction.)

Answer 1

To find the probability of rolling an 11 on a 12-sided die, you can use the formula for probability:

\[
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]

In this case:
- The number of favorable outcomes (rolling an 11) is 1 (since there is only one face showing 11).
- The total number of possible outcomes (the sides of the die) is 12.

So, the probability \( P \) of rolling an 11 is:

\[
P(11) = \frac{1}{12}
\]

Thus, the probability of rolling an 11 is:

\[
\frac{1}{12}
\]