SAT Math Multiple Choice Practice Question 543: Answer and Explanation

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Question: 543

21.

In the ABC board game, the circular spinner centered at O shown in the figure above is used to determine how far a player's piece will advance on the board during a given turn. After each spin, the arrow points in a random direction, and the number printed in the region where the arrow points gives the number of spaces a piece will advance. What is the probability that Kim's piece will advance 3 or 4 spaces during her turn?

A.
B.
C.
D.
E.

Correct Answer: B

Explanation:

B Because probability = # of outcomes fulfilling the requirements over the total # of outcomes, you need to find the total area of sectors that are labeled 3 and 4 over the total area of the circular spinner. Even though you don't know the area of the circle, you know that this fraction is the same part of the whole as the total degree measure of central angles that enclose 3 and 4 over the total degree measure of the circular spinner, which is the total area of sectors that are labeled 3 and 4 over the total area of the circular spinner. This gives you , or .

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