# SAT Math Multiple Choice Question 736: Answer and Explanation

Home > SAT Test > SAT Math Multiple Choice Practice Tests

### Test Information

- Use your browser's back button to return to your test results.
- Do more SAT Math Multiple Choice Practice Tests.

**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.
- B.
- C.
- D.

**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.

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