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 a 9. the probability of rolling a 9 is \square. (type an integer or a simplified fraction.)

Explanation:

Step1: Determine total outcomes

A 12 - sided die has 12 possible outcomes, so total number of outcomes \( n = 12 \).

Step2: Determine favorable outcomes

We want to roll a 9, and there is 1 favorable outcome (rolling a 9), so number of favorable outcomes \( m=1 \).

Step3: Calculate probability

The formula for probability is \( P=\frac{m}{n} \). Substituting \( m = 1 \) and \( n=12 \), we get \( P=\frac{1}{12} \).

Answer:

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