If the random variables X and Y follows discrete uniform over set $\{0,1,...,n\}$ and $\{1,2,...,n\}$ respectively then $Var(X) - Var(Y)$ equals to
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The variance of a discrete uniform distribution is translation-invariant. As long as the number of points in the sequence is the same and the spacing is the same (1 unit), the variance will be identical.