SAT Math Multiple Choice Question 874: Answer and Explanation

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Test Information

Question: 874

m < 50,00050,000 ≤ m ≤ 100,000m > 100,000Total
2-Door Car9221748
4-Door Car16483498
SUV19354094
Truck12272160
Total56132112300

4. Based on the table, if a single vehicle is selected at random from all the vehicleson the lot to be given away in a raffle, what is the probability that it will be anSUV or a truck that has been driven between 50,000 and 100,000 miles?

  • A.
  • B.
  • C.
  • D.

Correct Answer: D

Explanation:

D

Difficulty: Hard

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: Most two-way table questions require that you first identify the 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 rows 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 35 + 27 = 62 out of 300 vehicles. The probability of randomly selecting one of these vehicles is, which reduces to, making (D) correct.

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