SAT Math Multiple Choice Question 385: Answer and Explanation

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Test Information

Question: 385

Unemployed Employed Totals
Female
Degree
12 188 200
Female
No Degree
44 156 200
Male
Degree
23 177 200
Male
No Degree
41 159 200
Totals 120 680 800

10. The table above shows the results of a sociological study identifying the number of males and females with and without college degrees who were unemployed or employed at the time of the study. If one person from the study is chosen at random, what is the probability that that person is an employed person with a college degree?

  • A.
  • B.
  • C.
  • D.

Correct Answer: A

Explanation:

A

Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: Identify which pieces of information from the table you need. The question asks for the probability that a randomly chosen person from the study is employed and has a college degree, so you need the total of both females and males with college degrees who are employed compared to all the participants in the study.

Getting to the Answer: There are 188 employed females with a college degree and 177 employed males with a college degree for a total of 365 employed people with a college degree out of 800 participants, so the probability is which reduces to

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