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Combat and luck images: 8/23/2011 22:46:13

Fizzer
Level 58

Warzone Creator
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I made some images to help teach new players how combat basics and the luck modifier work. These will live on the [combat basics](http://wiki.warlight.net/index.php?title=Combat_basics) and [luck modifier](http://wiki.warlight.net/index.php?title=Luck_Modifier) wiki pages, which are eventually going to replace the Help tab.

I'm posting them here in the hopes they help someone!

Combat basics animation:

![](http://gae.warlight.net/Content/CombatBasicsAnimation.gif)

Luck modifier graphs:

![](http://blog.warlight.net/Images/LuckGraphs.png)
Combat and luck images: 8/24/2011 01:48:19

Knoebber
Level 54
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Very enlightening, thank you.
Combat and luck images: 8/24/2011 03:34:24

Perrin3088
Level 44
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hmm... so since the % chance of it happening -at 100% luck- changes the same amount for each conceivable loss it goes up/down.. that would mean that at +41 there is a 0% chance.. -as that is 101 armies killed- so -41 would also have 0% chance.. which would be what.. 19 armies killed by 100..
Combat and luck images: 8/24/2011 08:41:35

Fizzer
Level 58

Warzone Creator
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At 100% luck, any number from 0 to 100 is possible - there are no 0% chances. But they can get awfully close to 0.

The least likely possible outcome (with 100% luck) is that 100 will kill 0 armies. The odds of this are .4^100, or 0.00000000000000000000000000000000000001607%
Combat and luck images: 8/24/2011 10:27:34

Math Wolf
Level 63
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Perrin: you assume that this is symmetric, while it isn't. This assumption follows from the assumption that this follows a normal distribution. However, the underlying distribution is a binomial and it is known that for large n this is approximately normal. Note the "approximate". A binomial is not symmetric unless p=0.5, while a normal distribution is always symmetric. Due to the approximate normality, you will see that the probabilities are very similar (almost equal), but not exactly equal.

You can see this in the graph for example if you look at the bars for 59 and 61 which are not equal, but approximately the same.
Combat and luck images: 8/24/2011 18:37:02

Perrin3088
Level 44
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yeah, after Fizzers post I looked again and noticed that there is a slight varience all throughout from 51-59 61-69.. it's just amusing that somehow 50 and 70 don't seem to have a variance, but my eyes might merely be enough not to notice it ;)
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