The geometric distribution

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The geometric distribution describes the probability of  successes in a sequence of independent experiments each with likelihood of success of  that arise before there is 1 failure. It is a special case of the negative binomial distribution.


Note: different texts adopt slightly different definitions, e.g. it may be the total number of trials (i.e. 1 more than the above) in which case it may be called the shifted geometric distribution and/or  may denote the probability of failure rather than the probability of success.


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