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 \(A,B,C,\ldots\).
Table of Contents
Explanations: 1
 Definition: Certain and Impossible Event
 Proposition: Probability of the Complement Event
 Proposition: Probability of Included Event
 Proposition: Probability of Event Difference
 Proposition: Probability of Event Union
 Proposition: Probability of Joint Events
Mentioned in:
Definitions: 1 2 3 4 5 6 7 8 9 10 11 12 13
Explanations: 14 15
Proofs: 16 17 18 19 20 21 22 23
Propositions: 24 25 26 27 28 29 30 31 32 33
Theorems: 34
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References
Bibliography
 Bosch, Karl: "Elementare Einführung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition