Fair and unfair N-sided dice in principle.

In principle does classical physics allow us to make a fair N-sided die where N ≥ 3?



If I give you a set of N positive numbers n_i whose sum is 1 can a N-sided die be made in principle such that each face of the N-sided die comes up on average with a probability n_i?



Can N above be reduced to N≥2?



Thanks for any help!



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