Use the theoretical probability formula to solve the following problem. Express the probability as a fraction reduced to lowest terms. A​ 12-sided die is rolled.

Question

Use the theoretical probability formula to solve the following problem. Express the 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 number greater than 9.

Answer 1

One 12-sided die, 12 equally likely possible outcomes. Outcomes > 9 are {10, 11, 12}. So theoretical probability of rolling a value > 9 is 3/12, reduces to 1/4.

Answer 2

P(>9 with 12 sided die)= 1/16

= P(10) + P(11) + P(12),