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Geometric distribution
The geometric distribution is a discrete probability distribution that describes the probability that a Bernoulli process will have its first success on the nth trial if the probability of success is p:
<math>P(X = n) = (1 - p)^np</math>
It is a special case of the negative binomial distribution where r = 1. Like its continuous analogue (the exponential distribution), the geometric distribution is "memoryless"; in fact, it's the only memoryless discrete distribution.
Until somebody adds more information, please refer to negative binomial distribution.
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