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Principle of Proportionality

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.
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http://www.cut-the-knot.org/Probability/Proportionality.shtml
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Average: 3 (237 votes)
Creator(s): 
Alexander Bogomolny
Cataloger: 
Kyle Siegrist
Publisher: 
Cut-the-knot
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Copyright Alexander Bogomolny. The HTML page can be accessed and linked to, but not copied or used in other works.

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