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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.

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Subject classification(s): Elementary Probability | Probability | 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