Three distinct dice, no six

Roll three fair dice. What is the probability all three values are different and none of them is a 6? (to 3 decimals)

Show hints (2)+
  1. Favorable rolls use only the five faces 1–5, all distinct: 5·4·3.
  2. Keep the denominator 6³ = 216, not 5³ — a 6 is still rollable.

Answer

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0.278 (± 0.005)

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Asked at: SIG, Akuna Capital

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