Math: Problem Solving and Data Analysis

SAT Question of the Day for October 12, 2026

A survey of 200 employees found that 74 commute by car, 53 commute by train, and 29 commute by both car and train. If an employee who commutes by car is selected at random, what is the probability that this employee also commutes by train?
  1. A.29200\frac{29}{200}
  2. B.2974\frac{29}{74}Correct answer
  3. C.2953\frac{29}{53}
  4. D.5374\frac{53}{74}

Explanation

This is a conditional probability question: given that the employee commutes by car, find the probability they also commute by train. Of the 74 car commuters, 29 also commute by train, so the probability is 2974\frac{29}{74}. The answer 29200\frac{29}{200} incorrectly uses the total number of employees as the denominator instead of conditioning on car commuters. The answer 2953\frac{29}{53} uses the number of train commuters as the denominator. The answer 5374\frac{53}{74} uses the total number of train commuters in the numerator rather than only those who also commute by car.

How to use this question

Try the question before you read the explanation: cover it, commit to an answer, and then compare your reasoning with the worked solution. If you missed it, note the step where your approach went wrong rather than only the correct letter, and look for that same step the next time you see a similar question.

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