This program is © 2000 by Scott David Gray.
This program is designed to calculate probabilities when using a Shadowrun open-ended dice pool.
Dice pools are used in role playing games such as Shadowrun. A dice pool is used by rolling a number of dice and, rather than adding them together, comparing the rolls to a target number and counting how many dice meet that target. In Shadowrun, dice are open-ended; if a die rolls a six it is added to another six sided die (which, in turn, is open ended, etc.). If all of the dice roll one, the result is a critical failure.
Here are the figures (non-cumulative) for 6 open-ended dice rolled against a target number of 6:
The probability of 6 successes is 0.00214334705075446
The probability of 5 successes is 0.0643004115226337
The probability of 4 successes is 0.803755144032922
The probability of 3 successes is 5.35836762688615
The probability of 2 successes is 20.0938786008231
The probability of 1 success is 40.1877572016461
The probability of no successes is 33.4897976680384
The probability of a critical failure is 0.00214334705075446
and here is the form itself: