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*To*: "tft@brainiac.com" <tft@brainiac.com>*Subject*: Re: (TFT) scaled stats*From*: Jay Carlisle <maou.tsaou@gmail.com>*Date*: Fri, 7 Oct 2011 16:38:18 -0700*Dkim-signature*: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=gamma; h=mime-version:in-reply-to:references:date:message-id:subject:from:to :content-type; bh=8KPsJ/wg1g7yXOsex8pEO546NzvGVXyNlbRQjwDaQVA=; b=hiBrb2xH3XqOBpzP9MGLx81EjH9Q2TCtnnPUfv30YLQD9gRXTA5U07ptTShc5ImY/C Yyy0q4eHsBWcKmdYyHu01AUhnC0T4T7V5IJ0d1oqM/4rYZ2rFdyBghDEOmPRLX6Iad/e 4K3zo8bmL5JWANSn7mFOxOwu4JAHAS6iu6J48=*In-reply-to*: <p06240818cab3cd44f184@129.162.151.118>*References*: <p06240818cab3cd44f184@129.162.151.118>*Reply-to*: tft@brainiac.com*Sender*: tft-admin@brainiac.com

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 > possibilities.) > 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. What else? N-dice approaches a coin-flip as N approaches infinity. "A broken symmetry breaks your heart..." http://books.google.com/books?id=k0vCHGD5Y00C&pg=PA317&lpg=PA317&dq=a+broken+ symmetry+breaks+your+heart&source=bl&ots=SJIkrUjvc7&sig=uyyyedQR9i6dG-39zsmjQ Y_mSMY&hl=en&ei=L42PTpc_0KWwAvOgrboB&sa=X&oi=book_result&ct=result&resnum=1&s qi=2&ved=0CBoQ6AEwAA#v=onepage&q=a%20broken%20symmetry%20breaks%20your%20hear t&f=false ===== Post to the entire list by writing to tft@brainiac.com. Unsubscribe by mailing to majordomo@brainiac.com with the message body "unsubscribe tft"

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