Problem-Solving and Data AnalysisEasy–MediumProbability of two independent events
Problem-Solving and Data Analysis practice question
A fair six-sided die is rolled twice. What is the probability that both rolls show a 6?
Answer: 1/36
Each roll has probability 1/6 of a 6, and the rolls are independent: 1/6 × 1/6 = 1/36.
Common wrong answers
- If you answered 1/6
- 1/6 is the probability for ONE roll.
- If you answered 1/3
- 1/3 adds the probabilities (1/6 + 1/6), which would be for 'first OR second' if they couldn't both happen — and they can.
- If you answered 1/12
- 1/12 halves 1/6 instead of squaring it.
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