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The total number of ways to obtain the certain difference is 36. The number of ways of obtaining the difference of 2 with two dice is 8. How? List the possibilities of obtaining the difference of 2 with two dice:
  1. 3 and 1
  2. 4 and 2
  3. 5 and 3
  4. 6 and 4


These are 4 pairs of numbers to obtain a difference 2. Make note that we can also have the difference of two with these numbers "reversed". Then, we have 8 ways of obtaining the difference of 2. Therefore, the probability of obtaining the difference of 2 with two dice is 8/36.
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