Image:FUDGE 4dF probability.svg

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[edit] Summary

Probability of all possible results on 4dF (that is, rolling and summing 4 Fudge dice, each with an even probability of generating -1, 0, or 1). The upper line shows the chance of achieving the given result of better, while the lower line shows the chance of achieving exactly the given result.

The graph is my own work. I multi-license it under the GFDL, CC-BY 2.5, and CC-BY 3.0. It is based on data from FUDGE Dice Probability Tables (English). Retrieved on 2007-06-10.. I only used the first two columns. Data points documenting simple statistics cannot be copyrighted.

[edit] Construction

The output was created using gnuplot 4.0. The command file "commands" contains:

set terminal svg fname "Arial" fsize 20
set ylabel "Probability"
set xlabel "Result"
unset key
set label 10 "Chance of\nresult or better" at 0.5,0.6
set label 11 "Chance of\nexact result" at -1.4,0.13
set grid back lw 1
set border 3
set ytics nomirror
set xtics nomirror
plot "4df.csv" using 1:4 with lines lw 2, "4df.csv" using 1:5 with lines lw 2

The data file 4df.csv contains:

#Result,Combinations,Total combinations,Chance to Hit,Hit or better
-4  1 81 0.0123456790123457 1
-3  4 81 0.0493827160493827 0.987654320987654
-2 10 81 0.123456790123457  0.938271604938272
-1 16 81 0.197530864197531  0.814814814814815
0  19 81 0.234567901234568  0.617283950617284
1  16 81 0.197530864197531  0.382716049382716
2  10 81 0.123456790123457  0.185185185185185
3   4 81 0.0493827160493827 0.0617283950617284
4   1 81 0.0123456790123457 0.0123456790123457

The graph was then generated with:

gnuplot < commands > out.svg

[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following licenses: Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. This work is licensed under the Creative Commons Attribution 2.5 License. This work is licensed under the Creative Commons Attribution 3.0 License. You may select the license of your choice.

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