What's the Math Behind The Fate Dice
Success With Style
By René-Pier Deshaies-Gélinas
The big thing we need to understand when using Fudge/Fate Dice is that the chances of getting a +4/-4 versus getting a 0 are drastically very different.
Outlining the results in a graph where the vertical axis represents the chances of getting a result and where the horizontal axis lists all the possible results, you would get something that looks like this:
So you technically have a 1.23% (1/81) chance of getting a -4/+4 but a 23.46% chance of getting a 0.
Where it gets crazy is when you start thinking about the chances of getting a 0 or higher?.
Because the probabilities are going to stack, you get 61.73% chances to get a 0 or higher.
If you were playing with a D20, the graph would look something like this:
That flat line means that basically, you have equal chances of getting each result separately which, by consequence means that the outcome of a roll tend to also be "flatter".
Closing Thoughts
Since Fudge/Fate Dice statistics have this bell curve quality to them, the end result will have a big tendency to stay in the -1 ==> 1 range. This makes even getting something like a +2 exciting.
Getting a +4 on the other hand is truly cause for celebration.
More Stats
Result | Odd of rolling | Odd of rolling this or higher |
---|---|---|
-4 | 1.23% | 100% |
-3 | 4.94% | 98.77% |
-2 | 12.35% | 93.83% |
-1 | 19.75% | 81.48% |
0 | 23.46% | 61.73% |
1 | 19.75% | 38.27% |
2 | 12.35% | 18.52% |
3 | 4.94% | 6.17% |
4 | 1.23% | 1.23% |