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.