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About: Probability Topics: Independent & Mutually Exclusive Events

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

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Name: Probability Topics: Independent & Mutually Exclusive Events
ID: m16837
Language: English (en)
Summary: This module explains the concept of independent events, where the probability of event A does not have any effect on the probability of event B, and mutually exclusive events, where events A and B cannot occur at the same time.
Subject: Mathematics and Statistics
Keywords: chance, condition, exclusive, independent, mutually, outcome, Probability, Statistics
License: Creative Commons Attribution License CC-BY 2.0
Authors: Susan Dean (deansusan@deanza.edu), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu)
Copyright Holders: Maxfield Foundation (cnx@cnx.org)
Maintainers: Susan Dean (deansusan@deanza.edu), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu), Connexions (cnx@cnx.org)
Latest version: 1.10 (history)
First publication date: May 8, 2008 4:07 pm GMT-5
Last revision to module: Feb 18, 2009 2:06 pm US/Central
Module XML: m16837_1.10.cnxml

Version History

Version: 1.10 Feb 18, 2009 2:06 pm US/Central by Susan Dean
Changes: 
Independent & Mutually Exclusive Events: Added to "Independent Events" the sentence 
"If two events are NOT independent, then we say that they are dependent."
Version: 1.9 Feb 6, 2009 1:45 pm US/Central by Susan Dean
Changes: 
 Probability Topics: Independent & Mutually Exclusive Events:  Added to the paragraph on Independence the sentence "If two events are NOT independent, then we say that they are dependent."
Version: 1.8 Jan 27, 2009 1:35 pm US/Central by Susan Dean
Changes: 
Probability Topics: Independent & Mutually Exclusive Events:  Added the definitions of "with replacement" and "without replacement."
Version: 1.7 Jan 9, 2009 1:18 pm US/Central by Susan Dean
Changes: 
Moved the sentence "Independent and mutually exclusive do not mean the same thing" to the beginning of the section.
Moved the second sentence below the note "If it is not known whether A and B are independent or dependent, assume they
are dependent until you can show otherwise" to the end of the section Independent Events.
Changed the first sentence below the note to "If it is not known whether A and B are mutually exclusive, assume they are not until you can show otherwise."
Deleted the NOTE.
Version: 1.6 Oct 27, 2008 7:26 pm GMT-5 by James Cooper
Changes: 
roles updated
Version: 1.5 Jul 31, 2008 10:18 am GMT-5 by Connexions
Changes: 
removed draft note
Version: 1.4 Jul 8, 2008 6:22 pm GMT-5 by Connexions
Changes: 
post review edits
Version: 1.3 Jul 7, 2008 12:42 pm GMT-5 by Connexions
Changes: 
post review updates
Version: 1.2 Jun 27, 2008 11:04 am GMT-5 by Connexions
Changes: 
Roles changed
Version: 1.1 Jun 23, 2008 1:37 am GMT-5 by Jonathan Emmons
Changes: 
Initial publication

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American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Probability Topics: Independent & Mutually Exclusive Events, Connexions Web site. http://cnx.org/content/m16837/1.10/, Feb 18, 2009.

American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Probability Topics: Independent & Mutually Exclusive Events [Connexions Web site]. February 18, 2009. Available at: http://cnx.org/content/m16837/1.10/.

American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2009, February 18). Probability Topics: Independent & Mutually Exclusive Events. Retrieved from the Connexions Web site: http://cnx.org/content/m16837/1.10/

Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Probability Topics: Independent & Mutually Exclusive Events." Connexions. February 18, 2009. http://cnx.org/content/m16837/1.10/.

Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Probability Topics: Independent & Mutually Exclusive Events," Connexions, February 18, 2009, http://cnx.org/content/m16837/1.10/.

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

Dean, S., & Illowsky, B. 2009. Probability Topics: Independent & Mutually Exclusive Events. Connexions, February 18, 2009. http://cnx.org/content/m16837/1.10/.

Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Probability Topics: Independent & Mutually Exclusive Events. Connexions. 18 Feb. 2009 <http://cnx.org/content/m16837/1.10/>.