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Probability

Chapter
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Abstract

The ideas of probability are introduced using experiments. Examples are constructed in which the outcomes are equally likely, but the events contain different numbers of outcomes. Such nonuniform experiments are constructed using familiar objects: dice, coins, and playing cards. Stochastic processes, sequences of events where later events depend on the outcome of earlier events, are analyzed using tree diagrams. The earlier work on the theory of counting is applied to probability problems.

Conditional probabilities are defined, and tree diagrams are used there also. Bayes’ formula is introduced, and its applications are explored. The well-known “Monty Hall Problem” is analyzed.

Keywords

Monty Hall Problem Uniform Experience Birthday Coincidence Binomial Experiment Blue Marble 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsSouthern Illinois UniversityCarbondaleUSA

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