Probability

Events, Operations with events, Complete system of events

Keywords:

Events

Ω, A
 A is a subset of Ω-sample space
Impossible event
Ω
Sure event

Operations with events

AB=A+B
The event that occures,
when either A or B or both occur.
Operations with events
AB=A·B
The event that occures,
when both A and B occur simultaneously.
Operations with events
AB
The event that occures, when
A accumres, but B not.
Operations with events
A¯
The event that occures,
when A does not occure.
Operations with events
BA
 B event entails A event. Operations with events
AB=
Events A end B are
mutually exclusive
events
.
Operations with events

Complete system of events

i=1nAi=A1+A2+A3+...+An=Ω
Ai·Aj=, ij
Two events can not happen simultaneously.