Ten dice, sum divisible by six
You roll ten fair -sided dice and add the results. What is the probability that the total is divisible by ?
Show hints (2)+
- A fair die is uniform over residues mod .
- Fix nine dice; the tenth cycles the total through all six residues equally - so each residue has probability .
Answer
Reveal answer →Final answer
0.1667 (± 0.001)
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Asked at: Jane Street, Citadel