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GeometricDistribution

Geometric probability distribution.

$ wo 'GeometricDistribution[1/3]'
GeometricDistribution[1/3]

The mean is returned in expanded form, while the variance keeps the combined fraction (matching wolframscript).

$ wo 'Mean[GeometricDistribution[p]]'
-1 + p^(-1)
$ wo 'Variance[GeometricDistribution[p]]'
(1 - p)/p^2