Craps: An Exploration
In the game of Craps, we roll two dice, and note the sum S. In the traditional game, if S is 2, 3, or 12, you lose immediately; if the S is 7 or 11, you win immediately, and the game continues otherwise.

On this page, you can: (a) play the classic game; (b) make your own win/lose conditions and play; (c) simulate the game over a number of rounds to note win/loss statistics and the average game duration.

Note that the traditional game of craps continues with different rules after the first throw. Here we just roll until termination with respect to the original conditions.

Simulation
Run multiple games to analyze win/loss statistics
Classic Rules
Immediate Loss

Rolling 2, 3, or 12

Immediate Win

Rolling 7 or 11

Game Continues

All other sums

Die 1

+

Die 2

=

Total

Rolls: 0

About Craps

Craps is a classic casino dice game that demonstrates interesting probability concepts. The first throw (called the "come out roll") immediately determines the outcome in certain cases:

Losing Numbers (Craps)

  • • 2 (Snake Eyes): 1/36 probability
  • • 3: 2/36 probability
  • • 12 (Boxcars): 1/36 probability
  • Total losing probability: 4/36 = 11.1%

Winning Numbers (Natural)

  • • 7: 6/36 probability
  • • 11: 2/36 probability
  • Total winning probability: 8/36 = 22.2%

If you roll 4, 5, 6, 8, 9, or 10, that becomes your "point" and the game continues with different rules.