Question

a number cube was rolled as part of an experiment. the results are shown in the table. explain how to find the experimental probability of rolling a 6.

number	1	2	3	4	5	6
frequency	13	11	9	8	10	9

Explanation:

Step1: Find total number of trials

Add up all frequencies: $13 + 11+9 + 8+10 + 9=60$

Step2: Find frequency of rolling a 6

The frequency of rolling a 6 is 9.

Step3: Calculate experimental probability

The experimental - probability formula is $P=\frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}$. So, $P(\text{rolling a }6)=\frac{9}{60}=\frac{3}{20}$

Answer:

The experimental probability of rolling a 6 is $\frac{3}{20}$. First, find the total number of trials by adding all frequencies (60). Then, identify the frequency of rolling a 6 (9). Finally, use the formula $P = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}$ to get $\frac{9}{60}=\frac{3}{20}$.