Mutual exclusivity  

From The Art and Popular Culture Encyclopedia

Revision as of 08:39, 29 April 2018; view current revision
←Older revision | Newer revision→
Jump to: navigation, search

Related e

Wikipedia
Wiktionary
Shop


Featured:

In logic and probability theory, two propositions (or events) are mutually exclusive or disjoint if they cannot both be true (occur). A clear example is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.

In the coin-tossing example, both outcomes are, in theory, collectively exhaustive, which means that at least one of the outcomes must happen, so these two possibilities together exhaust all the possibilities. However, not all mutually exclusive events are collectively exhaustive. For example, the outcomes 1 and 4 of a single roll of a six-sided die are mutually exclusive (both cannot happen at the same time) but not collectively exhaustive (there are other possible outcomes; 2,3,5,6).


See also




Unless indicated otherwise, the text in this article is either based on Wikipedia article "Mutual exclusivity" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on research by Jahsonic and friends. See Art and Popular Culture's copyright notice.

Personal tools