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Re: (TFT) scaled stats
On Thursday, October 6, 2011, Mark Tapley wrote:
> At 16:06 -0400 9/30/11, gem6868 wrote:
>>I'm not a math person, so
>>someone else will have to provide details.
> attached, a plot showing how the bell curve steepens for more
> dice. This is the same data as presented in the reference Jay gave...
My goodness there may be hope for me!
I used to get told I was "adding the wrong direction" in school because I
went from biggest to smallest.
There's usually more than one way to skin a cat.
I'm just happy to have a grasp on the anatomy...
> For n die, the horizontal axis is the
> die roll divided by n, and the vertical axis is the probability of
> that exact roll.
> yellow - 1 die
> green - 2 dice
> light blue - 3 dice
> dark blue - 4 dice
> purple - 5 dice
> orange - 6 dice
Your pic went through for me on g-mail.
I'll cut 'n paste this part as a "legend"
> So you can see that for 1 die, each result from 1 to 6 has a
> probability of 0.1666 of coming up on a given roll. For 2 dice, the
> possibilities run from 2 to 12 (so on the plot it looks like (2 to
> 12) / 2 -> (1 to 6). The most likely result, 7, comes up 0.1666 of
> the time, but others are less likely, down to 2 and 12 at 0.02777 of
> the time. (Total area under the curve looks less, but there are more
> possibilities - the horizontal scaling compresses the area for each
> possibility, but the total still adds up to 1.0000 for all of the
The measurement system tends to run in oddly repeating decimals (so to
speak) as well.
Number Theory makes my head hurt.
> As you go to more and more dice, the "bell curve" gets
> steeper and steeper, so crossing over the "halfway mark" gets more
> and more important if you want to hit.
High risk, high reward.
N-dice approaches a coin-flip as N approaches infinity.
"A broken symmetry breaks your heart..."
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