Multiple choice

Two dice were thrown simultaneously. Then find the probability of g etting difference of outcomes as 2.

  1. $\dfrac{2}{9}$
  2. $\dfrac{1}{9}$
  3. $\dfrac{5}{12}$
  4. $\dfrac{5}{18}$
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A Correct answer
Explanation

Total outcomes = 36. Pairs with difference 2: (1,3), (3,1), (2,4), (4,2), (3,5), (5,3), (4,6), (6,4). Total = 8 outcomes. Probability = 8/36 = 2/9.

AI explanation

Using the classical definition of probability, the total number of outcomes when two dice are thrown is 36. The favorable outcomes for getting a difference of 2 are (1, 3), (2, 4), (3, 5), (4, 6), (3, 1), (4, 2), (5, 3) and (6, 4), giving 8 favorable combinations. Therefore, the required probability is 8 divided by 36, which simplifies to 2 divided by 9.

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