Probability

Events, Operations with events, Complete system of events

Keywords:

Events

A is a subset of Ω-sample space

Ω, A

Impossible event

Sure event

Ω

Operations with events

The event that occures, when either A or B or both occur.
AB=A+B
Műveletek eseményekkel

The event that occures,  when both A and B occur simultaneously.

AB=A·B
Műveletek eseményekkel

The event that occures, when A accumres, but B not.
AB
Műveletek eseményekkel

The event that occures, when A does not occure.

A¯
Műveletek eseményekkel

B event entails A event.

BA

Műveletek eseményekkel

Events A end B are  mutually exclusive events.
Műveletek eseményekkel

Complete system of events

i=1nAi=A1+A2+A3+...+An=Ω

Two events can not happen simultaneously.

Ai·Aj=, ij