Problem-Solving and Data AnalysisMediumProbability of a double six
Problem-Solving and Data Analysis practice question
Two fair six-sided dice are rolled. What is the probability that the total of the two dice is 12?
- A. 1/36Correct
- B. 1/12
- C. 1/6
- D. 2/36
Answer: A. 1/36
A total of 12 needs a 6 on both dice — one outcome out of the 6 × 6 = 36 equally likely outcomes: 1/36.
Why the other answers are wrong
- B. 1/12
- 1/12 would be 3 favourable outcomes; only (6, 6) totals 12.
- C. 1/6
- 1/6 is the probability of a 6 on ONE die.
- D. 2/36
- 2/36 counts (6, 6) twice, but it is a single outcome.
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