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Definition: Random Experiments and Random Events

A random experiment is an experiment with the following properties:

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]

1.Definition: Certain and Impossible Event

2.Explanation: How to Interpret Events Which Are Constructed From Other Events Doing Set Operations?

3.Proposition: Probability of the Complement Event

4.Proposition: Probability of Included Event

5.Proposition: Probability of Event Difference

6.Proposition: Probability of Event Union

7.Proposition: Probability of Joint Events

Edit or AddNotationAxiomatic Method

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Bibliography (further reading)

[856] Bosch, Karl: “Elementare Einf├╝hrung in die Wahrscheinlichkeitsrechnung”, vieweg Studium, 1995, 6. Auflage