Multiple choice

Two dice are thrown. The probability that the absolute difference of points on them is $4$ is

  1. $\dfrac{1}{7}$
  2. $\dfrac{1}{8}$
  3. $\dfrac{1}{9}$
  4. $\dfrac{1}{6}$
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C Correct answer
Explanation

Total outcomes = 36. Pairs with difference 4: (1,5), (5,1), (2,6), (6,2). There are 4 such pairs. Probability = 4/36 = 1/9.

AI explanation

When two dice are thrown, the total number of outcomes in the sample space is 6 times 6, which equals 36. The pairs with an absolute difference of 4 are (1, 5), (5, 1), (2, 6), and (6, 2), giving 4 favorable outcomes. The required probability is the ratio of favorable outcomes to total outcomes, which is 4/36 or 1/9.

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