Chapter 5, Problem T5.9SPT

To determine

To find: The probability that randomly chosen students has a driver’s lesson and is a senior by selecting the provided option.

Answer to Problem T5.9SPT

The option is (e).

Explanation of Solution

Given:

  $\begin{array}{l}P\left(\text{Senior}\right)=0.22\\ P\left(\text{Has driver's license}\right)=0.30\\ P\left(\text{Senior or has driver's license}\right)=0.36\end{array}$

Calculation:

The probability that randomly chosen students has a driver’s lesson and is a senior can be computed as: $\begin{array}{c}P\left(\text{Senior and has driver's license}\right)=P\left(\text{Senior}\right)+P\left(\begin{array}{l}\text{Has driver's}\\ \text{ license}\end{array}\right)-P\left(\begin{array}{l}\text{Senior or has}\\ \text{ driver's license}\end{array}\right)\\ =0.22+0.30-0.36\\ =0.16\end{array}$

The required probability is 0.160.

Hence, the correct option is (e).