Problem-Solving and Data AnalysisEasyComplement of an event
Problem-Solving and Data Analysis practice question
The probability that a spinner lands on blue is 3/8. What is the probability that the spinner does NOT land on blue?
- A. 5/8Correct
- B. 3/8
- C. 1/8
- D. 3/5
Answer: A. 5/8
The probabilities of an event and its opposite add to 1: 1 − 3/8 = 5/8.
Why the other answers are wrong
- B. 3/8
- 3/8 is the probability of landing ON blue.
- C. 1/8
- 1/8 is 1 − 7/8, or 3/8 − 2/8; the complement of 3/8 is 5/8.
- D. 3/5
- 3/5 doesn't come from 1 − 3/8. The two probabilities must sum to 1 = 8/8.
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