---
title: "geometric distribution"
type: concept
source: https://www.jemoka.com/posts/kbhgeometric_random_variable/
confidence: high
status: active
---

how many times do you have to do the trial to get at least one success
constituents \(p\) is the probability of one individual success \(x\) is the number of trials requirements \begin{equation} P(X = x) = \qty(1-p)^{x-1} p \end{equation}
which represents the probability of getting a success on the \(x\) trial
additional information \begin{equation} \mathbb{E}[X] = \frac{1}{p} \end{equation}
