# RandomProbabilities

Jump to navigation
Jump to search

RandomProbabilities | |

Generates a random probability vector | |

Other toolboxes required | none |
---|---|

Related functions | RandomStateVector |

Function category | Random things |

` RandomProbabilities` is a function that generates a random probability vector (i.e., its entries are non-negative and sum to 1), uniformly distributed on the unit simplex.

## Syntax

`P = RandomProbabilities(N)`

## Argument descriptions

`N`: The number of entries in the desired probability vector.

## Examples

### Uniform distribution of length-3 probability vectors

The following code randomly generates 10000 probability vectors of length 3, and then demonstrates that their distribution on the unit simplex really is approximately uniform:

```
>> for j = 1:10000
p(j,:) = RandomProbabilities(3);
end
>> scatter3(p(:,1),p(:,2),p(:,3),1) % plot the probability vectors in 3D-space
```

The scatter plot produced by the above code is displayed below:

## Source code

Click here to view this function's source code on github.