08212018, 12:21 AM  #1 
Join Date: Oct 2011

Condensing Multiple Rolls with a Chart? [Math Help Needed]
I decided I'd like to hack together a quick mass combat system, one for fights between groups too small and individuals too varied for the default mass combat system to work well (e.g. supervillain gangs). I figured that a good first step would be to have a way to simulate multiple rolls with one.
For instance, if someone made 10 attacks with skill 12 in a given timeframe, they would hit (on average) with seven or eight of them, but would hit with all 10 roughly 5% of the time. Since there's a roughly 5% chance of rolling 35 on 3d6, you could make it so rolling 35 means they hit with all ten...and, conversely, that 1618 means they miss with all ten. And so on for every number between 1 and 9 as well. But, of course, I want a way to easily calculate that sort of table for any combination of skill level and number of rolls. Ideally, I'd like a big chart, with 318 on both edges, with the cells containing the percentage of rolls which succeed for a given die roll and skill level. It seems like the kind of thing there should be a simple formula I can plug into each square to figure out; stick in the probabilities for rolling each number on the die, multiply or exponent them in the right way, and fill the table. But I haven't been able to figure out what. Or if that's not an option, I guess other options for notquitemasscombat rules could be helpful. But this is the kind of problem that keeps bugging certain types of people until they have a solution, and I am one of those types...even though probability isn't really my forte. I hope I didn't nerdsnipe anyone. 
Tags 
math, probability 
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