### Solution
To find the experimental probability of rolling a three, follow these steps:
1. Determine the Frequency of Rolling a Three:
- Check the frequency given for the number 3 in the table. In this case, the number 3 was rolled 5 times.
2. Find the Total Number of Trials:
- To find the total number of trials (the total number of times the cube was rolled), sum up all the frequencies from the table.
[tex]\[
\text{Total trials} = 4 + 6 + 5 + 7 + 3 + 5 = 30
\][/tex]
3. Write the Ratio:
- The experimental probability is the ratio of the frequency of rolling a 3 to the total number of trials.
[tex]\[
\text{Experimental probability} = \frac{\text{Frequency of rolling a 3}}{\text{Total trials}} = \frac{5}{30}
\][/tex]
4. Simplify the Ratio if Necessary:
- The given ratio [tex]\(\frac{5}{30}\)[/tex] can be simplified. The simplified form is:
[tex]\[
\frac{5}{30} = \frac{1}{6}
\][/tex]
So, the experimental probability of rolling a three is [tex]\(\frac{1}{6}\)[/tex] or approximately 0.167 (rounded to three decimal places), which is 16.67%.
Correct Answer:
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.
