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 1.
the probability of rolling a 1 is
(type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of favorable outcomes

The favorable outcome (rolling a 1) is 1.

Step2: Determine the total number of outcomes

The total number of outcomes is 12 (since the die has 12 sides).

Step3: Calculate the probability

The probability formula is \(P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So, \(P=\frac{1}{12}\).

Answer:

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