Chapter 13.3, Problem 22E

To determine

To find: The probability of $P\left(\text{2}\text{country}\right)$ .

Answer to Problem 22E

The probability of $P\left(\text{2}\text{country}\right)$ is $\frac{7}{195}$ .

Explanation of Solution

The number of rapare $10$ .

The number of rockare $18$ .

The number of countryare $8$ .

The number of pops are $4$

The probability of the successful outcome of an event is given by,

  $P\left(s\right)=\frac{s}{s+f}$

The $P\left(\text{2}\text{country}\right)$ is calculated as,

  $\begin{array}{c}P\left(\text{2}\text{country}\right)=\frac{C\left(8,2\right)}{C\left(40,2\right)}\\ =\frac{7}{195}\end{array}$

Therefore, the probability of $P\left(\text{2}\text{country}\right)$ is $\frac{7}{195}$ .