# Discrete Probability Distributions

## Probability Distribution

The probability distribution of a discrete random variable, X, is each possible value of the variable x_{i } with a probability of p_{i}.

**0 ≤ p _{i }≤ 1**

**p _{1} + p_{2} + p_{3} + · · · + p_{n} = Σp_{i} = 1**

The **probability distribution** is also called the** probability function** or the **probability mass function**.

#### Example

Determine the probability distribution of all the possible outcomes that can be obtained by rolling a die.

x | p _{i} |
---|---|

1 | |

2 | |

3 | |

4 | |

5 | |

6 | |

1 |

#### Representation of the Probability Distribution

A discrete probability distribution is represented by a bar chart.

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