Examples for


Dice are small, tossable polyhedral objects used to produce and simulate the random numbers used to determine the outcome of events in a wide variety of games, from Dungeons and Dragons to Yahtzee to craps. Utilize Wolfram|Alpha's extensive computational power to simulate dice rolls for any quantity of dice with any number of sides, compute the likelihood of rolling a specific number, calculate the probability of a specific range of outcomes for a variety of shapes and numbers of dice, or determine how likely it is you'll score that critical hit or if the dice will come up snake eyes.

Dice Probabilities

Compute the probability of dice rolls, from standard six-sided dice to any number or combination of d4, d8, d10, d12, d20 and beyond.

Compute dice probabilities:

Compute probabilities for non-cubical dice:

Compute the probability of a specified outcome:

Compute a waiting-time probability:


Compute the probability of winning a game of craps or the probability of rolling a specific number.

Compute probabilities related to the game of craps: