Gap between two dice, given they differ
Two fair six-sided dice are rolled. Given that the two dice show different values, what is the expected size of the gap between them (the absolute difference)? Give your answer as a decimal (to 2 decimals).
Show hints (2)+
- Drop the six tied pairs - 30 ordered outcomes survive, and ties were the only gap-0 cases.
- How many of the 30 pairs have gap exactly ?
Answer
Reveal answer →Final answer
2.33 (± 0.01)
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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude