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
the probability of rolling an 11 is
(type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of favorable outcomes

There is only 1 outcome that is rolling an 11. So, the number of favorable outcomes \(n(F)=1\).

Step2: Determine the total number of outcomes

The die has 12 sides, so the total number of outcomes \(n(T) = 12\).

Step3: Calculate the probability

The probability formula is \(P=\frac{n(F)}{n(T)}\). Substituting the values, we get \(P=\frac{1}{12}\).

Answer:

\(\frac{1}{12}\)