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==Analyze Graphs==
 
==Analyze Graphs==
  
Within the game, Warzone supplies a tool called [[Analyze Graphs]]. These provide an easy way to determine the odds of attacks succeeding without needing to understand all of the math and logic presented on this page, and is a timesaving convenience for those that do.
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Within the game, WarLight supplies [[Analyze Graphs]]. These provide an easy way to understand the odds of any attack succeeding without needing to understand all of the math presented on this page.
  
==Analysis of battles==
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==Analysis==
  
 
Calculating how many armies will be killed can be done with the [http://en.wikipedia.org/wiki/Binomial_probability binomial probability] formula.  If we run this formula on 100 attacking armies, we get a bell curve like this:
 
Calculating how many armies will be killed can be done with the [http://en.wikipedia.org/wiki/Binomial_probability binomial probability] formula.  If we run this formula on 100 attacking armies, we get a bell curve like this:
  
https://d32kaghj56y4ei.cloudfront.net/static/img/BinomialDistribution.png
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http://blog.warlight.net/Images/BinomialDistribution.png
  
We can see that the most likely number of armies that will be killed by 100 attacking armies is 60, which will happen about 8% of the time.  The standard deviation is approximately 4.3465 armies.  The number killed will thus be between 55 and 65 armies 75% of the time.
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We can see that the most likely number of armies that will be killed by 100 attacking armies is 60, which will happen about 8% of the time.  The number killed will be between 55 and 65 armies 75% of the time.
  
==Settings that affect the attack system==
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==Luck Modifier==
  
===Luck Modifier===
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The calculations on this page assume that the game's [[luck modifier]] is set to 100%.  Most games use a lower value, which reduces the amount that randomness affects the game.  To see how the this changes the calculations, see the [[Luck Modifier|Luck Modifier Page]].
  
The calculations on this page assume that the game's [[luck modifier]] is set to 100%.  Most games use a lower value, which reduces the amount that randomness affects the game.  To see how this changes the calculations, see the [[Luck Modifier]].
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==Overridden kill rates==
 
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===Rounding Mode===
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As a sub-setting of the luck modifier, [[rounding mode]] also affects luck in the game, and as a result, the attack system.
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===Overridden kill rates===
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The default [[offense and defense kill rates]] are 60% and 70%, but these can be changed by game creators.  Therefore, for multi-player games, it's a good idea to check the settings on your game to be sure.
 
The default [[offense and defense kill rates]] are 60% and 70%, but these can be changed by game creators.  Therefore, for multi-player games, it's a good idea to check the settings on your game to be sure.

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