Question

7

A number cube was rolled as part of an experiment. The results are displayed in the table below.
Number
Frequency
1 2
3
4 6 5
4
7
5 6
3 ¹5
What is the best explanation of how to find the experimental probability of rolling a 3?
O To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total
number of trials. Simplify if necessary.
O To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the
number three. Simplify if necessary.
O To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials.
Simplify if necessary.
To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three.
Simplify if necessary.

Answer 1

To find the experimental probability of rolling a 3, we need to write a ratio of the number of times 3 occurs to the total number of trials. Therefore, the best explanation of how to find the experimental probability of rolling a 3 is:

Explanation:

"To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary."

In this case, we can see from the table that the number 3 occurs 5 times out of a total of 35 trials. Therefore, the experimental probability of rolling a 3 is:

experimental probability of rolling a 3 = number of times 3 occurs / total number of trials

experimental probability of rolling a 3 = 5 / 35

experimental probability of rolling a 3 = 1/7

Therefore, the experimental probability of rolling a 3 is 1/7, or approximately 0.143 or 14.3%.