Chapter 12.7, Problem 40PPE

To determine

To find: The odds that the winning team won by 10 to 15 points.

Answer to Problem 40PPE

The odds that the winning team won by 10 to 15 points is $\frac{3}{10}$ .

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, six are from 10 to 15 points that is $\left\{10,11,12,13,14,15\right\}$ .

Find the odds that the winning team won by 10 to 15 points.

  $\begin{array}{c}P=\frac{6}{20}\\ =\frac{3}{10}\end{array}$

Therefore, the odds that the winning team won by 10 to 15 points is $\frac{3}{10}$ .