medium · SAT Math

A survey of 100 students recorded whether each student plays a sport and whether each student plays a musical instrument. Of the 50 students who play a sport, 30 also play an instrument and 20 do not. Of the 50 students who do not play a sport, 10 play an instrument and 40 do not. In all, 40 of the students surveyed play an instrument and 60 do not.

If a student is selected at random from among those who play a sport, what is the probability that the student also plays a musical instrument?

  1. 0.30
  2. 0.40
  3. 0.60
  4. 0.75

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