Multiple choice

Two dice are thrown at a time. Find the probability that the difference of numbers shown on the dice is $2 .$

  1. $\dfrac{8} {36}$
  2. $\dfrac{19} {36}$
  3. $\dfrac{11} {36}$
  4. $\dfrac{7} {36}$
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A Correct answer
Explanation

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

AI explanation

When two dice are thrown, there are 36 possible outcomes. To find the outcomes where the difference is exactly 2, the successful pairs are (1, 3), (3, 1), (2, 4), (4, 2), (3, 5), (5, 3), (4, 6), and (6, 4). Counting these 8 favorable pairs gives a probability of 8/36.

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