Multiple choice

If two dice are thrown, what is the probability that the number appeared on second dice is greater than that on first dice?

  1. 5 9

  2. 5 12

  3. 1 2

  4. 11 36

  5. 7 12
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Among the 36 equally likely ordered outcomes, 15 have the second die greater than the first. Therefore, the probability is 15/36 = 5/12.

AI explanation

When two dice are thrown, the sample space contains 36 equally likely outcomes. The favorable outcomes where the second die shows a number strictly greater than the first are (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), and (5, 6). Counting these gives 15 favorable outcomes. By the classical probability formula, the required probability is 15/36, which simplifies to 5/12.

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