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Onur DOĞAN

Introduction to Probability

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Introduction to Probability. Onur DOĞAN. Introduction to Probability. The Classical Interpretation of Probability The Frequency Interpretation of Probability The Subjective Interpretation of Probability. Types of Experiments. Experiment and Event : - PowerPoint PPT Presentation

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Page 1: Introduction to Probability

Onur DOĞAN

Page 2: Introduction to Probability

The Classical Interpretation of Probability The Frequency Interpretation of

Probability The Subjective Interpretation of

Probability

Page 3: Introduction to Probability

Experiment and Event:An experiment is any process, real or hypothetical, in which the possible outcomes can be identified ahead of time. An event is a well-defined set of possible outcomes of the experiment.

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Sample Space

The collection of all possible outcomes of an experiment is called the sample space of the experiment.

A: EventS: Collection of all events

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The Empty Set Some events are impossible. For example, when a die is rolled, it

is impossible to obtain a negative number. Hence, the event that a negative number

will be obtained is defined by the subset of S that contains no outcomes.

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Intersection and union operations have associative and distributive properties .

De Morgan’s Law

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Axiom(1) / Axiom(2) / Axiom(3) Further Properties of Probability:

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Obtaining Different Numbers:

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