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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.

3 answers

a. The theoretical probability of rolling a 3 on a number cube (assuming it is fair and has six equally likely outcomes) is 1/6.

b. The experimental probability of rolling a 3 is found by dividing the number of times a 3 came up by the total number of rolls.

experimental probability of rolling a 3 = 67/450

This fraction cannot be simplified further.
Answer the question and make it make sense. 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.
If you roll a number cube 450 times, the number 3 comes up 67 times. To determine the probability of rolling a 3, we can calculate the theoretical probability and the experimental probability. The theoretical probability of rolling a 3 on a fair number cube is 1/6, since there are 6 equally likely outcomes. The experimental probability of rolling a 3 is 67/450, which we get by dividing the number of times a 3 came up (67) by the total number of rolls (450). The experimental probability is an approximation based on actual data, while the theoretical probability is based on probability theory. Both probabilities can be expressed as fractions in simplest form.