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General Discussion

Battle Calculator Spreadsheet

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Protagoras

2017-11-14 20:29:12

I am a huge nerd.  I am also a student of mathematics, my specialty being abstract algebra but I also am a fair study in statistics.

The question arises, given a number of random trials where the probability of a success is 10% to 100% in incriments of 10 for each trial, what is the probability of realizing a specific number of successes.  This is a slight special case of something called the Poisson Binomial distribution in statistics, actually a relatively un-investigated problem in the sense of finding already canned routines to calculate them.  This special case is also exactly the battle system for Succession Wars.

I have created a spreadsheet in excel that for up to 20 such trials it will calculate the probability of any given number of successes, the probability of at least a given number of successes as well as the expected number of successes.  So you can use this spreadsheet to find out things such as "On average how many hits will I achieve?  How many will I suffer?  What is the probability of achieving at least 6 hits?" and so on as well as answering questions such as "Is it better to split my units or combine them?" 

Anyone that wants it email me Protagoras1966@gmail.com and I will send it to you.  Its fairly user friendly.

 



Jimmy the Tulip

2017-11-15 19:20:19

I'm sending an email right now...



johnpaulaxon

2017-11-17 12:55:40

It's a work of genius!  Thanks for sharing



Protagoras

2017-11-19 20:06:56

You're quite welcome, I figured I might as well share it once I built it!

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