---
title: "Bernoulli"
canonical: "https://modelassist.epixanalytics.com/space/EA/26575202/Bernoulli"
format: markdown
---
Binomial(p,1)      

Yes-No(p)           

[Bernoulli equations](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26579419)

[Crystal Ball parameter restrictions](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575907#CrystalBallparameterrestrictions-binomial)

 

 

The Bernoulli distribution is a [Binomial](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575204) distribution with n = 1. The Bernoulli distribution returns a 1 with probability p and a zero otherwise. The Bernoulli distribution (also called the [Yes/No(p) distribution](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575571#CrystalBallfeatures-Yes/No)) can be substituted with the Binomial(p, 1) distribution. Two examples of the Bernoulli(p) distribution are shown below:

 

![image](media://036ac63f-2872-410b-ac2d-3e7f97b42c42)

### Uses

The Bernoulli distribution is very useful for modeling a risk event that may or may not occur. The figure below illustrates a model to estimate the impact of a set of risks that may impinge on a project:

 

 

![image](media://718250a1-9dd7-4bdb-82ce-665cf72fe069)

 

The model is explained [here](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575635). Another model with conditional probabilities is also provided [here](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575459).

 

The Rademacher distribution has equal probability of returning a value of -1 or 1. Thus:

 

Rademacher() =  2*Bernoulli(0.5) - 1

 

 

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