Events, Operations with events, Complete system of events

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Events

A is a subset of Ω-sample space

Impossible event

Sure event

Operations with events

The event that occures, when either A or B or both occur.
$$A\cup B=A+B$$

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

$$A\cap B=A·B$$

The event that occures, when A accumres, but B not.
$$A\setminus B$$

The event that occures, when A does not occure.

$$\overline{A}$$

B event entails A event.

$$B\subset A$$

Events A end B are mutually exclusive events.

Complete system of events

Two events can not happen simultaneously.