Question

A special 8 sided die is rolled 20 times with these outcomes: 2, 4, 7, 3, 1,5, 4, 6, 3, 8, 6, 2, 5, 2, 6, 1, 7, 4, 5, 6 What is the experimental probability of rolling a 2 or a 4? Is this number great than or less than the theoretical probability of rolling a 2 or 4?

Answer 1

In your data set, 2 and 4 each show up 3 times. The experimental probability of rolling a 2 or 4 is 6/20 = 0.30.

The theoretical probability of rolling one of 2 given numbers out of 8 is 2/8 = 0.25. The experimental probability in this case is greater than the theoretical probability.