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About: Conditional Probability

Module by: Paul E Pfeiffer. E-mail the author

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Name: Conditional Probability
ID: m23252
Language: English (en)
Summary: The probability P(A) of an event A is a measure of the likelihood that the event will occur on any trial. New, but partial, information determines a conditioning event C , which may call for reassessing the likelihood of event A. For a fixed conditioning event C, this new assignment to all events constitutes a new probability measure. In addition, because of the way it is derived from the original, or prior, probability, the conditional probability measure has a number of special properties which are important in applications. Determination of the conditioning event is key.
Subject: Mathematics and Statistics
Keywords: Bayes' rule, Compound trials, Conditional probability measure, Conditioning event, Law of total probability, Product rule, Repeated conditioning, Reversal of conditioning
License: Creative Commons Attribution License CC-BY 3.0

Authors: Paul E Pfeiffer (perhp@earthlink.net)
Copyright Holders: Paul E Pfeiffer (perhp@earthlink.net)
Maintainers: Paul E Pfeiffer (perhp@earthlink.net), Daniel Williamson (dcwill@cnx.org), C. Sidney Burrus (csb@rice.edu)

Latest version: 1.7 (history)
First publication date: Apr 14, 2009 4:10 pm -0500
Last revision to module: Sep 18, 2009 12:18 pm -0500

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Version History

Version: 1.7 Sep 18, 2009 12:18 pm -0500 by Daniel Williamson
Changes:
added google analytics tracking code

Version: 1.6 Jul 27, 2009 11:44 am -0500 by Daniel Williamson
Changes:
disjoint union fix

Version: 1.5 Jun 19, 2009 11:03 am -0500 by Daniel Williamson
Changes:
m-file fixes, supplemental links, metadata updated

Version: 1.4 Jun 9, 2009 5:03 pm -0500 by Daniel Williamson
Changes:
updated links, images, and accessibility

Version: 1.3 May 26, 2009 4:17 pm -0500 by Daniel Williamson
Changes:
fixed module names, and updated content structure

Version: 1.2 May 14, 2009 11:20 am -0500 by Paul E Pfeiffer
Changes:
Initial

Version: 1.1 May 13, 2009 11:51 am -0500 by Paul E Pfeiffer
Changes:
Initial

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American Chemical Society (ACS) Style Guide:

Pfeiffer, P. Conditional Probability, OpenStax_CNX Web site. http://cnx.org/content/m23252/1.7/, Sep 18, 2009.

American Medical Assocation (AMA) Manual of Style:

Pfeiffer P. Conditional Probability [OpenStax_CNX Web site]. September 18, 2009. Available at: http://cnx.org/content/m23252/1.7/.

American Psychological Assocation (APA) Publication Manual:

Pfeiffer, P. (2009, September 18). Conditional Probability. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m23252/1.7/

Chicago Manual of Style (Bibliography):

Pfeiffer, Paul. "Conditional Probability." OpenStax_CNX. September 18, 2009. http://cnx.org/content/m23252/1.7/.

Chicago Manual of Style (Note):

Paul Pfeiffer, "Conditional Probability," OpenStax_CNX, September 18, 2009, http://cnx.org/content/m23252/1.7/.

Chicago Manual of Style (Reference, in Author-Date style):

Pfeiffer, P. 2009. Conditional Probability. OpenStax_CNX, September 18, 2009. http://cnx.org/content/m23252/1.7/.

Modern Languages Association (MLA) Style Manual:

Pfeiffer, Paul. Conditional Probability. OpenStax_CNX. 18 Sep. 2009 <http://cnx.org/content/m23252/1.7/>.