Chapter 8.6, Problem 22E

To determine

To find the probability of getting winner younger than 19 years or older than 59 years old.

Answer to Problem 22E

The probability of getting winner younger than 19 years or older than 59 years oldis $\frac{26}{100}$ .

Explanation of Solution

Given:

Number of ticket holder is 2200.

The below circle graph shows the ages of the season ticket holder.

  

Calculation:

Consider the given graph.

  

Here, total number of ticket holder is 2200.

  $n\left(S\right)=2200$

Consider E be the event of getting winner younger than 19 years or older than 59 years old.

  $\begin{array}{c}n\left(E\right)=66+506\\ =572\end{array}$

Hence the probability of getting winner younger than 19 years or older than 59 years oldis,

  $\begin{array}{l}P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}\\ P\left(E\right)=\frac{572}{2200}\\ P\left(E\right)=\frac{26}{100}\end{array}$