Chapter 12.7, Problem 41PPE

To determine

To find: The probability that the winning team won by more than 20 points.

Answer to Problem 41PPE

The probability that the winning team won by more than 20 points is $\frac{1}{4}$ .

Explanation of Solution

Given:

The given data is as follows.

Calculation:

The probability of an event is given by, $\text{P}\left(\text{ event}\right)=\frac{\text{number}\text{of}\text{favorable}\text{outcomes}}{\text{number}\text{of}\text{unfavorable}\text{outcomes}}$ .

From the stem-and-leaf plot, there are $20$ differences.

From these, five are more than 20 points that is $\left\{23,27,27,35,45\right\}$ .

Find the probability that the winning team won by more than 20 points.

  $\begin{array}{c}P=\frac{5}{20}\\ =\frac{1}{4}\end{array}$

Therefore, the probability that the winning team won by more than 20 points is $\frac{1}{4}$ .