SAT Math Multiple Choice Question 736: Answer and Explanation

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Question: 736

1. If m is a number chosen randomly from the set {2, 3, 4, 6} and n is a number chosen randomly from the set {1, 2, 3, 4}, what is the probability that mn is a multiple of 12?

  • A. Images
  • B. Images
  • C. Images
  • D. Images

Correct Answer: C

Explanation:

C

Data Analysis (probability) MEDIUM

One way to represent this problem clearly is to construct a table that shows all of the possible products mn. A representation of all the equally likely possible outcomes of an event is called the sample space for that event. We can label the columns with the possible values of m and the rows with the possible values of n. As we write in the products, let's shade in those that are multiples of 12.

images

This shows that 4 out of the possible 16 products are multiples of 12, and therefore, the probability is 4/16 or Images.

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