A number cube is rolled 450 times. The number 3 comes up 67 times.

What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

3 answers

surely that would be 1/6
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 fair number cube is 1/6, since there are six equally likely outcomes (numbers 1 through 6) and one of them is a 3. Therefore, the theoretical probability of rolling a 3 is 1/6.

b. The experimental probability of rolling a 3 is found by dividing the number of times a 3 came up (67) by the total number of rolls (450). So the experimental probability of rolling a 3 is 67/450, which can be simplified to 149/1000.