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Why is Airstrike's Damage Formula So Bizarre?
- For this message the author MainiacJoe has received thanks: 4
- duvessa, Rast, ydeve, yesno
If it doesn't fit anywhere else, it belongs here. Also, come here if you just need to get hammered.
Tartarus Sorceror
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wheals wrote:Because we let a theoretical mathematician write it.
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|amethyst[24/24]: <|amethyst> but also the general Crawl principle of "we'll do some weird hard-to-tweak shit for our probability distribution, then figure out the math later"
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goodcoolguy wrote:Hm, upon further review, it turns out anydice expands nested d's in a way that in this case just passes the inner result through, so the distribution it gives for the airstrike formula as written is actually just the one for 7 + 1d4 - 1 + (1d(power) - 1)/6 + (1d(power) - 1)/7.
The anydice output struck me as odd since the distribution given by, say, 1d(1d10), should skew left. It's a basically a descending triangle. Iterated applications of "d" act like integrators, it turns out. One consequence of this is that you can't actually express distributions like this in terms of simple sums of dice because such distributions will always have zero skew. So, sorry about that!
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