Adjacent faces on two dice

Two fair dice are rolled. What is the probability that the two faces are consecutive integers (differ by exactly 1, in either order)? Give a decimal to four places.

Show hints (2)+
  1. "Consecutive" means the gap ab=1|a-b|=1 - first list the unordered pairs.
  2. The sample space is ordered: count each pair in both directions over 36.

Answer

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0.2778 (± 0.001)

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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude, ETF Market-Making

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