AnyDice

The Pool

A Milestone in RPG Design

The Pool is a little RPG document written by James V. West. While it may not look like much nowadays, at the time it was written it opened a lot of eyes.

The resolution mechanic is as simple as it is elegant. Roll some d6. If you rolled at least a single 1 then you succeed, otherwise you fail.

Using AnyDice, it's easy to compare the performance of different pool sizes. The transposed graph view is very useful for this:

loop DICE over {1..10} {
 output DICE d (d6 = 1) > 0 named "[DICE]d"
}
success rates
The Pool, from one to ten dice.

And here it is in a table, along with a rough estimate mnemonic:

DiceOddsMnemonic
116.67%
230.56%
342.13%
451.77%½
559.81%
666.51%
772.09%
876.74%¾
980.62%
1083.85%