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Principle of Proportionality
Course Topic(s): Probability | Basic Probability, conditional probability
This is a short article on the principle of proportionality. The principle states that if the state space is partitioned into equally likely events, \(A_1\), \(A_2\), \(\ldots A_n\) and if \(B\) is another event, then \(P(A_i | B)\) is proportional to \(P(B | A_i)\). The principle is derived from Bayes' theorem, and applications are given to a bear cub problem, a pancake problem, and the Monty Hall problems.
Resource URL: http://www.cut-the-knot.org/Probability/Proportionality.shtml
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Subject classification(s):
Elementary Probability
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Probability
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Statistics and Probability
Creator(s): Alexander Bogomolny
Contributor(s): Alexander Bogomolny
This resource was cataloged by Kyle Siegrist
Publisher:Cut-the-knot
Resource copyright: Copyright Alexander Bogomolny. The HTML page can be accessed and linked to, but not copied or used in other works.
This review was published on September 14, 2012
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