Chapter 13, Problem 2E

To determine

To find: The probability of selected student is a junior player or plays volleyball.

Answer to Problem 2E

The probability of selected student is a junior player or plays volleyball is $\frac{17}{35}$ .

Explanation of Solution

Given information: The table is shown below.

  

Calculation:

The probability of junior is,

  $\mathrm{P}\left(\mathrm{A}\right)=\frac{17}{70}$

The probability of volleyball player is,

  $\mathrm{P}\left(\mathrm{B}\right)=\frac{21}{70}$

The probability of students which are junior and plays volleyball is,

  $\mathrm{P}\left(\mathrm{A}\mathrm{a}\mathrm{n}\mathrm{d}\mathrm{B}\right)=\frac{4}{70}$

The probability of selected student is a junior player or plays volleyball is,

  $\begin{array}{c}\mathrm{P}\left(\mathrm{A}\mathrm{o}\mathrm{r}\mathrm{B}\right)=\frac{17}{70}+\frac{21}{70}-\frac{4}{70}\\ =\frac{17}{35}\end{array}$