.. _variables-geometric_uncertain-probability_per_trial: """"""""""""""""""""" probability_per_trial """"""""""""""""""""" Geometric distribution parameter .. toctree:: :hidden: :maxdepth: 1 **Specification** - *Alias:* prob_per_trial - *Arguments:* REALLIST **Description** The geometric distribution represents the number of successful trials that occur before a failure is observed. The density function for the geometric distribution is given by: .. math:: f(x) = {p}{(1-p)^{x}} where ``p`` is the probability of failure per trial and ``x`` is the number of successful trials.