Onur DOĞAN.  The Classical Interpretation of Probability  The Frequency Interpretation of Probability  The Subjective Interpretation of Probability.

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Presentation transcript:

Onur DOĞAN

 The Classical Interpretation of Probability  The Frequency Interpretation of Probability  The Subjective Interpretation of 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.

 Sample Space The collection of all possible outcomes of an experiment is called the sample space of the experiment. A: Event S: Collection of all events

 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.

 Intersection and union operations have associative and distributive properties.  De Morgan’s Law

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

 Obtaining Different Numbers: