Problem-Solving and Data AnalysisHardProbability of playing neither
Problem-Solving and Data Analysis practice question
Of 80 students, 50 play a sport, 30 play an instrument, and 15 do both. If a student is chosen at random, what is the probability that the student plays neither a sport nor an instrument?
Answer: 3/16
50 + 30 − 15 = 65 students play at least one, so 15 play neither, and 15/80 = 3/16.
Common wrong answers
- If you answered 0
- 0 forgets that the two groups overlap.
- If you answered 3/8
- 3/8 is the probability of playing an instrument.
- If you answered 15/65
- 15/65 divides by those who play something.
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