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## Definition: Random Experiments and Random Events

A random experiment is an experiment with the following properties:

• It is known, which outcomes it has, before it takes place, but
• is is generally unknown, which outcome it will have, until the experiment took place, and
• it is possible to find out, which outcome the experiment had after it took place.

The set of all outcomes is called probability space and denoted by $$\Omega$$.

Any subset $$F\subseteq \Omega$$ of outcomes is called a random event or just event. We denote events, using Latin capital letters $$A,B,C,\ldots$$.

| | | | | created: 2014-02-20 23:30:53 | modified: 2014-09-13 14:14:55 | by: bookofproofs | references: [856]

## 7.Proposition: Probability of Joint Events

### Bibliography (further reading)

[856] Bosch, Karl: “Elementare Einführung in die Wahrscheinlichkeitsrechnung”, vieweg Studium, 1995, 6. Auflage