Based on the table, if a single vehicles is selected at random from all the vehicles on the lot to be given away in reffle, what is the probability that it will be an SUV or a truck that has been driven between 50,000 and 100,000 miles?

Options

A. `(7)/(60)`
B. `(11)/(25)`
C. `(31)/(66)`
D. `(31)/(150)`

Answer

D

Explanation

Difficult: Hard
Category: Problem Solving and Data Analysis/ Statistics and Probability.
Strategic Advice: Most two-way table question require that you first identify rows and columns of interest. It may help to circle the row(s) and column(s) that you need to answer the question.
Getting to the Answer: The first criterion (the vehicle is an SUV or a truck) tells you to focus on row 4 and 5. The second criterion (has been driven between 50,000 and 100,000 miles) tells you to focus on the center column. Of the 300 vehicles on the lot, there are 35 SUVs and 27 trucks with the indicated mileage, resulting in a total of `37+27=62` out of 300 vehicles. The probability of randomly selecting one of these vehicles is `(62)/(300)`, which reduces to `(31)/(150)`, making (D) correct.