Use the basic probability principle to solve the following problem. Express each probability as a fraction reduced to lowest terms. 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 4 or a 9 . The probability of rolling a 4 or a 9 is \( \square \). (Type an integer or a simplified fraction.)

To find the probability of rolling a 4 or a 9 on a 12-sided die, we first identify the total number of possible outcomes, which is 12 (the numbers 1 through 12). Out of these outcomes, the favorable outcomes for our event (rolling a 4 or a 9) amount to 2. Using the basic probability formula, we calculate: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{12} \] Now, we simplify this fraction: \[ \frac{2}{12} = \frac{1}{6} \] Thus, the probability of rolling a 4 or a 9 is \( \frac{1}{6} \).