Chapter 12.7, Problem 39PPE

To determine

To find: The probability that the winning team won by less than 10 points.

Answer to Problem 39PPE

The probability that the winning team won by less than 10 points is $\frac{2}{5}$ .

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, eight are less than $10$ points that is $\left\{1,3,3,3,3,4,7,7\right\}$ .

Find the probability that the winning team won by less than 10 points.

  $\begin{array}{c}P=\frac{8}{20}\\ =\frac{2}{5}\end{array}$

Therefore, the probability that the winning team won by less than 10 points is $\frac{2}{5}$ .