Chapter 5, Problem T5.1SPT

To determine

To find: The probability that dodge or four-wheel drive is owned by a randomly selected person.

Answer to Problem T5.1SPT

The probability is $\frac{90}{125}$ .

Explanation of Solution

Given:

The table is:

	Yes	No	Total
Ford	28	17	45
Chevy	32	18	50
Dodge	20	10	30
Total	80	45	125

Calculation:

The probability that dodge or four-wheel drive is owned by a randomly selected person can be computed as:

  $\begin{array}{c}P\left(\text{Dodge or four wheel drive}\right)=P\left(\text{Dodge}\right)+P\left(\text{Four wheel drive}\right)-P\left(\text{Dodge and four wheel drive}\right)\\ =\frac{30}{125}+\frac{80}{125}-\frac{20}{125}\\ =\frac{90}{125}\end{array}$ The required probability is $\frac{90}{125}$

Hence, the correct option is (d).