Chapter 13.6, Problem 31SR

To determine

To calculate: To find the experimental probability of rolling a $3$

Answer to Problem 31SR

Experimental probability of rolling a $3$ is $\frac{4}{15}$

Explanation of Solution

Given information: Table showing the results of rolling a die

Roll	1	2	3	4	5	6
Frequency	13	9	20	8	10	15

Formula Used:

Probability is defined as the likelihood of an event.

Probability is calculated as

  $\mathrm{Probability}=\frac{Event}{Outcomes}$

Calculation:

Given below the table showing the results of rolling a die

Roll	1	2	3	4	5	6
Frequency	13	9	20	8	10	15

Total number of frequency $=13+9+20+8+10+15=75$

Frequency of rolling a $=20$

Probability of rolling a $3$ is calculated as follows:

  $\begin{array}{l}P\left(3\right)=\frac{20}{75}\\ P\left(3\right)=\frac{4}{15}\end{array}$

Conclusion:

Hence, $P\left(3\right)=\frac{4}{15}$