SAT Math Multiple Choice Practice Question 3: Answer and Explanation

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Question: 3

3. In a drawer are seven pairs of white socks, nine pairs of black socks, and six pairs of brown socks. Getting dressed in a hurry, Josh pulls out a pair at a time and tosses them on the floor if they are not the color he wants. Looking for a brown pair, Josh pulls out and discards a white pair, a black pair, a black pair, and a white pair. What is the probability that on his next reach into the drawer he will pull out a brown pair of socks?

A. 1/3
B. 3/11
C. 6/17
D. 7/18
E. 9/22

Correct Answer: A


A. The drawer contained 22 pairs of socks originally. However, Josh has thrown 4 pairs on the floor, so he now has 18 pairs to choose from, 6 of which are brown. His probability of success is therefore 6/18 = 1/3.

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