Use the basic probability principle to solve the following p

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 any number except 11. The probability of roiling any number except 11 is. (Type an integer or a simplified fraction.)

Solution

Given the set of equally likely outcomes is S={1,2,3,4,5,6,7,8,9,10,11,12}

n(S)=12

possible events when rolling the die that the outcome is not 11 is given by E= {1,2,3,4,5,6,7,8,9,10,12}

n(E)=11

probability = n(E)/n(S)=11/12