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 number greater than 12. the probability of rolling a number greater than 12 is \boxed{}. (type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of favorable outcomes

The set of outcomes when rolling a 12 - sided die is \(\{1,2,\cdots,12\}\). The numbers greater than 12 in this set: \(n(F)=0\) (since the maximum number on a 12 - sided die is 12).

Step2: Determine the total number of outcomes

The total number of outcomes when rolling a 12 - sided die is \(n(T) = 12\).

Step3: Use the probability formula

The probability formula is \(P=\frac{n(F)}{n(T)}\). Substituting \(n(F) = 0\) and \(n(T)=12\) into the formula, we get \(P=\frac{0}{12}\).

Answer:

\(0\)