DiscreteUniformDistribution

DiscreteUniformDistribution[{imin, imax}] represents a discrete uniform distribution over integers from imin to imax.

DiscreteUniformDistribution[{{imin, imax}, {jmin, jmax}, ...}] represents a multivariate discrete uniform distribution.

Examples

Roll a die:

RandomVariate[DiscreteUniformDistribution[{1, 6}], 10]

Mean of uniform distribution:

Mean[DiscreteUniformDistribution[{1, 100}]]
(* 101/2 *)

Please visit the official Wolfram Language Reference for more details.