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That's an interesting idea. I know negative probabilities are used in quantum mechanics http://news.ycombinator.com/item?id=4319276 and they come up in some math problems http://en.wikipedia.org/wiki/Negative_probability so, even if you can't think of a case where they would occur, it's nice to know we have the math in case it happens :)


Quantum mechanics: frustrating formal mathematicians for over a century.

You'd have to exercise caution when using (quasi-)probabilities less than zero or greater than one, because many of the classical properties of probability theory depend upon those conditions.




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