Problem-Solving and Data AnalysisHardProbability of a union with overlap on a spinner
Problem-Solving and Data Analysis practice question
A spinner has 8 equal sectors numbered 1 through 8, and it is spun once. What is the probability that the spinner lands on a number that is a multiple of 3 or an even number?
Answer: 5/8 or 0.625
Multiples of 3: 3 and 6. Even numbers: 2, 4, 6, 8. Together (counting 6 once): 2, 3, 4, 6, 8, five of the eight sectors, so the probability is 5/8.
Common wrong answers
- If you answered 3/4
- 6/8 counts the 6 twice, once as a multiple of 3 and once as even.
- If you answered 1/8
- 1/8 is the probability of the overlap only (landing on 6).
- If you answered 1/4
- 2/8 counts only the multiples of 3.
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