Three dice, increasing

Roll three fair dice. What is the probability the three values come up strictly increasing? (to 4 decimals)

Show hints (2)+
  1. Choose 3 distinct faces, then there's one increasing arrangement.
  2. $\binom{6}{3}/216$.

Answer

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0.0926 (± 0.002)

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Asked at: Optiver, Akuna Capital

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