Dice Probabilities

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.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


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.


    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Related Curriculum Standards

US Common Core State Standards, Mathematics