Problem-Solving and Data AnalysisMediumProbability of liking neither drink
Problem-Solving and Data Analysis practice question
Of 200 people surveyed, 120 said they like tea, 90 said they like coffee, and 40 said they like both. If one of the 200 people is chosen at random, what is the probability that the person likes neither tea nor coffee?
Answer: 3/20 or 0.15 or 30/200
Tea or coffee: 120 + 90 − 40 = 170, so 30 like neither: 30/200 = 3/20.
Common wrong answers
- If you answered 1/20
- 1/20 subtracts 120 + 90 from 200 without adding back the 40 counted twice, then mis-signs.
- If you answered 1/5
- 1/5 uses 40/200, the share who like both.
- If you answered 17/20
- 17/20 is the share who like at least one.
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