Multiple choice

Two dice are rolled one after the other. The probability that the number on the first is smaller than the number on the second, is

  1. $\cfrac{1}{2}$
  2. $\cfrac{7}{!8}$
  3. $\cfrac{3}{4}$
  4. $\cfrac{5}{12}$
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D Correct answer
Explanation

There are 36 equally likely ordered outcomes when two dice are rolled. Fifteen outcomes have the first number smaller than the second, so the probability is 15/36 = 5/12.

AI explanation

When two dice are rolled, the total number of possible outcomes is 36. The favorable outcomes where the first die is smaller than the second 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), giving 15 favorable outcomes. Using the classical probability formula, the probability is 15 divided by 36, which simplifies to 5/12.

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