Problem-Solving and Data AnalysisMediumProbability of studying exactly one language
Problem-Solving and Data Analysis practice question
Of 60 students, 35 study French, 20 study Spanish, and 5 study both. If a student is chosen at random, what is the probability that the student studies exactly one of the two languages?
Answer: 3/4 or .75 or 0.75
30 study French only and 15 study Spanish only, so 45 of 60 study exactly one: 3/4.
Common wrong answers
- If you answered 11/12
- 11/12 counts those who study both as well.
- If you answered 1/12
- 1/12 is the probability of studying both.
- If you answered 1/6
- 1/6 is the probability of studying neither.
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