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The Empire at War ... The Gamers Guild => WHFB The Electors' Forum => Topic started by: commandant on May 03, 2012, 11:49:47 AM

Title: For all you math hammer nerds
Post by: commandant on May 03, 2012, 11:49:47 AM
Is there a difference between rolling 3 artillery dice together and rolling one artillery dice 3 times in the number of misfires you get.
Title: Re: For all you math hammer nerds
Post by: sammay23 on May 03, 2012, 12:01:01 PM
Nope.
Title: Re: For all you math hammer nerds
Post by: DriesD on May 03, 2012, 12:52:23 PM
Theoreticaly, no, in reality it'll depend on the dice I suppose.
But considering those 3 dice are (very nearly) identical the awnser is no.
Title: Re: For all you math hammer nerds
Post by: Dbunibe on May 03, 2012, 12:54:16 PM
Yes and no. Statistically it's the exact same thing.  The probability that 1 die will failto roll a misfire is less than that of 3 separate dice. This is why I hate advanced probability models, they defy logic.

Realistically every die is a little different. Everytime a die rolls its edges become more rounded, and if it's not properly balanced (the weight of the paint or lack of mass from having depressions for the pips or numbers affect this) the die will start to favor 1 result more than others.

A mathematician and professor had his stats students roll differen dice from different companies thousands of times and compare the results and found some interesting results. The most notable example of the numbers being off is that round edged pipped dice from chessex rolled 1's more than 20% of the time and rolled 3's and 4's less frequently than it should. 


So those "lucky" dice that some people have may not be lucky at all, just poorly balanced
Title: Re: For all you math hammer nerds
Post by: valmir on May 03, 2012, 02:10:09 PM
But yes, assuming a perfect die, the probabilities are the same. Just that each of those three individual throws is taking place at the same time.
Title: Re: For all you math hammer nerds
Post by: Delthos on May 03, 2012, 05:56:42 PM
Statistically there is no pratical difference. The result of one die's roll has no affect on the result of another die's roll. They are independant systems.

Rolling them one at a time is more dramatic though.
Title: Re: For all you math hammer nerds
Post by: eriktheguy on May 03, 2012, 06:36:01 PM
You might accidentally make it different depending on how you do engineer rerolls. Do you reroll the dice as you come to them? Say the first roll is a 6, the second a 2. Do you reroll the 2 before rolling the third die?
You need to roll all 3 dice, note the result, then decide if you want rerolls. This will be the exact same as rolling three dice at a time.
Title: Re: For all you math hammer nerds
Post by: Moriar on May 03, 2012, 07:35:50 PM
Rolling one die at a time or all three together doesnt make a difference. The rules also states you must roll all dice at the same time - if you only have one roll three rolls and note the outcomes.

Re-rolling a misfire before you see all the results can only be bad for you anyways. Say you re-roll after the first misfire and then you get another two misfires, you would have been better off keeping three misfires :) Go down guns blazing!  ::heretic::
Title: Re: For all you math hammer nerds
Post by: Siberius on May 03, 2012, 10:31:00 PM
I think rolling all three together is in this circumstance more dramatic as all those numbere coming up together had a nice psychological effect, in much the same way as rolling 40 close combat attacks at the same time.  :icon_smile:
Title: Re: For all you math hammer nerds
Post by: eriktheguy on May 03, 2012, 10:40:31 PM
much the same way as rolling 40 close combat attacks at the same time.  :icon_smile:
So many ones!!!
Title: Re: For all you math hammer nerds
Post by: Volks on May 04, 2012, 07:24:38 AM
Yea, I got a third artillery dice the other day. I'm going to be rolling all 3 together from now on.