Question

A student rolls a number cube 40 times. He rolls a 3 on the number cube 6 times. What is the experimental probability that he rolls a 3?

Answer 1

`(6)/(40)=(3)/(20)`

Explanation:

The experimental probability is the number of times the desired result was obtained over the total number of times the experiment was carried out:

`P=(TimesTheEventOccurs)/(TotalNumberOfTrials)`

In this case the Event we are looking for is rolling a 3 on the number cube.

The total number of trials is:

40

because the student rolls the cube 40 times.

and the times that he got the number 3 (the times the desired event occurs) is:

6

because he rolls a 3 on the number cube 6 times.

Thus our experimental probability to roll a 3 is:

`P=(6)/(40)`