Free SAT Practice Question

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ID: SAT-MATH-PSDA-036
Section: SAT Math - Problem Solving & Data Analysis (PS&DA)
Topic: Probability and conditional probability
Difficulty level: Medium

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The two-way table summarizes the \(120\) students in a school program, classified by whether they play a musical instrument and whether they play a sport.

	Plays an instrument	Does not play an instrument	Total
Plays a sport	\(18\)	\(42\)	\(60\)
Does not play a sport	\(27\)	\(33\)	\(60\)
Total	\(45\)	\(75\)	\(120\)

One of the students who plays a sport is selected at random. What is the probability that the selected student also plays a musical instrument?

A\(\dfrac{3}{20}\)

B\(\dfrac{3}{10}\)

C\(\dfrac{2}{5}\)

D\(\dfrac{7}{10}\)

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