The DeciMate encryption scheme requires a sequence of true random decimal digits.
The sequence will be hand-generated by throwing a set of dice to determine each digit.
The dice are perfect cubes with 6 blank faces.
Any number or symbol can be written on each face.
Design such a set of dice so that each sum 0 through 9 has exactly the same probability.
** 6 cannot be used as a 9 by turning it upside down.
Take two dice, mark the first 0,0,0,5,5,5 and the second 0,1,2,3,4,X.
If the X comes up, re-roll until a number comes up then sum the two dice.
The thing about a six sided die is you can make even with probabilities with denominator 6 or 3 or 2 but for the task at hand we need 1/10.
The only way to get a factor of 5 is to force a re-roll.
(The dice game craps works this way and does have n/5 probabilities in some cases.)
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Posted by Jer
on 2023-12-03 18:06:49 |
One type of solution
