What distribution can I use to describe the trial number of the first success given a sequence of Bernoulli trials?


1 Answer 1


You are looking for a Geometric Distribution

Assume the probability of success is $p$ (fixed) then the probability of a success on the k-th trial is:

\begin{equation} Pr(X=k) = (1-p)^{k-1}p, \text{ where }k=1,2,.. \end{equation}

Geometric_distribution - wikipedia reference


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