Question

A number cube is rolled 150 times. the number 3 comes up 43 times. What is the experimental probability of rolling a 3? What is the theoretical probability of rolling a 3?

a.)43/500 ; 1/6
b.)43/500 ; 1/50
c.)1/6 ; 43/150
d.)4/43 ; 1/6

Answer 1

The experimental probability is 43/150 and the theoretical probability is 1/6.

The experimental probability is given by the number of times the event occurs over the total number of outcomes. 43 happens 43 times out of 150 total rolls, so the probability is 43/150.

The theoretical probability is given by the number of times the event is possible over the total number of outcomes. 3 can happen 1 time out of 6 possibilities, so the probability is 1/6.