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 8. the probability of rolling an 8 is (type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of favorable outcomes

The favorable outcome (rolling an 8) is 1. So, \(n(\text{favorable}) = 1\).

Step2: Determine the total number of outcomes

The die has 12 sides. So, \(n(\text{total})=12\).

Step3: Use the probability formula

The probability formula is \(P(A)=\frac{n(\text{favorable})}{n(\text{total})}\). Substituting the values, we get \(P(\text{rolling an }8)=\frac{1}{12}\).

Answer:

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