CA Foundation · Quantitative Aptitude · Probability
Two fair dice are rolled together. What is the probability that the sum of the numbers shown is greater than 10?
When two dice are rolled, the sum exceeds 10 only when the outcomes are (5,6), (6,5), or (6,6). This gives 3 favorable outcomes out of 36 possible outcomes, so the probability is 1/12.
- A1/12Correct
- B1/18
- C1/9
- D1/36
Explanation
Total outcomes when rolling two dice = 36. Outcomes where sum > 10 are: (5,6), (6,5), and (6,6) = 3 outcomes. Probability = 3/36 = 1/12. The distractor 1/18 results from counting only 2 outcomes; 1/9 comes from counting 4 outcomes incorrectly.
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