Dice Probabilities

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This table and graph show the chances for each outcome of a number of -sided dice. The chances column lists chances out of total chances. The % chance column is 100 × probability. The frequency is the inverse of probability; that is, the odds are 1 in of a given outcome.

Contributed by: Jonathan Wooldridge (August 2008)
Open content licensed under CC BY-NC-SA


Chances are calculated by representing an -sided die as the polynomial (), and then multiplying the dice together. The chances can be directly read off the coefficients of the expanded result.


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