Final tables can be found here.
Here you'll find probability tables (in jpeg, pdf and TeX) for opposed rolls in Shadowrun 5e and Haskell script that was used to generate them. If you don't play Shadowrun you probably won't find this too relevant.
Quick Shadowrun rule summary:
Contests in Shadowrun are resolved by rolling a number of d6 (six-sided) dice and counting "hits" - 5s or 6s rolled, more hits is better. A Player and the Game Master both roll a set of dice and count hits scored, whoever has more hits wins the contest. More "net hits" (your hits minus opponent's hits) constitutes a higher degree of success. The tables generated here answer a question like "What is the chance I will get 1 or more net hits if I'm rolling 14 dice and the opponent is rolling 11 dice?" (it's 58.3%)
Using the script:
Compile/interpret ShadowrunProbTableGen.hs.
Run ShadowrunProbTableGen "OutputFileName.tex" [Normal|Reroll] [player die pool low bound] [player die pool high bound] [Normal|Reroll|Exploding] [opponent die pool low bound] [opponent die pool high bound]
(e.i. ShadowrunProbTableGen "myProbs.tex" Reroll 1 10 Normal 1 30, note capitalisation)
This will generate a table in .TeX format and write into a file under provided name. The table has the probabilities for opposed rolls between die pools of sizes specified by the ranges. Normal is for a normal roll, Reroll is for a roll with one reroll of misses, Exploding is for a roll where each die that rolls a 6 is rerolled and results are added, multiple rerolls per die are possible (WARNING: this only works for the opponent die pool right now). Any ranges can be specified but the TeX is optimised for 10 by 30 size as that fits on a page nicely without been to small to read. You'll need a tool to read TeX files or convert them to other formats, I used TeXstudio.
To regenerate the tables uploaded to this repo type:
ShadowrunProbTableGen "probs1.tex" Normal 1 10 Normal 1 30
ShadowrunProbTableGen "probs2.tex" Normal 11 20 Normal 1 30
ShadowrunProbTableGen "probs3.tex" Normal 21 30 Normal 1 30
ShadowrunProbTableGen "probsReroll1.tex" Reroll 1 10 Normal 1 30
ShadowrunProbTableGen "probsReroll2.tex" Reroll 11 20 Normal 1 30
ShadowrunProbTableGen "probsReroll3.tex" Reroll 21 30 Normal 1 30
Oterwise you can load ShadowrunProbTableGen.hs into ghci to get access to following useful functions:
getComparisonOfD3Pools x y (e.i. getComparisonOfD3Pools 5 3)
This will print a list of probabilities of getting net hits, staring at 0 net hits (tie), on an opposed roll between die pools of sizes x and y.
getComparisonOfD3PoolsGE same as getComparisonOfD3Pools but gives probabilities for "x or more" hits instead of exact hits.
getDistrForD3Pool x (e.i. getDistrForD3Pool 8)
This will print a list of probabilities of getting hits, staring at 0 hits, with a die pool of size x.
getDistrForD3PoolGE same as getDistrForD3Pool but gives probabilities for "x or more" hits instead of exact hits.