Chapter 13.6, Problem 3CYP

To determine

The experimental probability of rolling a six when a cube is rolled is to be estimated.

Answer to Problem 3CYP

The experimental probability and theoretical probability of rolling a six when a cube is rolled is $\text{1}$ or $\text{0}\text{.01\%}$ .

Explanation of Solution

Given:

The table below shows the result of an experiment in which a number cube is been rolled.

  

Calculation:

The experimental probability of rolling a six when a cube is rolled is given by the ratio,

  $\begin{array}{l}p=\frac{\text{Number of times six rolled}}{\text{Number of possible outcomes}}\\ p=\frac{\text{6}}{\text{6}}\\ p=1\end{array}$

Hence the experimental probability of rolling a six is $\text{1}$ or about $\text{0}\text{.01\%}$

The theoretical probability of rolling a six is $\text{1}$ or $\text{0}\text{.01\%}$ .

Conclusion:

Hence the experimental and theoretical probability is $\text{0}\text{.01\%}$ .