# 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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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.