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The geometric distribution is either of two discrete probability distributions:
1. The probability distribution of the number X of Bernoulli trials needed to get one success, supported on the set { 1, 2, 3, ...}
2. The probability distribution of the number Y = X - 1 of failures before the first success, supported on the set { 0, 1, 2, 3, ... }
Which of these one calls "the" geometric distribution is a matter of convention and convenience.
It is defined by a succes probability, 0 < p ≤ 1.
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