Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A number cube is rolled 450 times. The number 3 comes up 67 times.
a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
a. The theoretical probability of rolling a 3 on a number cube is 1/6, since there are six equally likely outcomes (numbers 1-6) and only one of them is a 3.
b. The experimental probability of rolling a 3 is found by dividing the number of times 3 came up by the total number of rolls:
67/450
This cannot be simplified further, so the answer is 67/450.