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*To*: vms-list@xxxxxxxxxxx*Subject*: RE: VMs: magical voynich dice game ... "gaussianity"*From*: Marzio De Biasi <voynich@xxxxxxxxxxxx>*Date*: Sat, 11 Sep 2004 12:26:40 +0200*In-reply-to*: <200409110207.i8B27AR6008271@visconde.ic.unicamp.br>*Reply-to*: vms-list@xxxxxxxxxxx*Sender*: owner-vms-list@xxxxxxxxxxx

The (shifted) distribution of values generated by two dice is not at all similar to a Gaussian. It is a triangular graph, 6 - abs(x - 6), for x from 1 to 11. That's because one can get the sum

02 03 04 05 06 07 08 09 10 11 12 in 1 2 3 4 5 6 5 4 3 2 1 possible ways.

--stolfi

Hi,

The graph of a 2 dice roll looks "not so gaussian" beacause it is produced by only 2 dice ... if you use 4 dice its "gaussianity" is revealed:

Of course only if you have tons of dice (infinite) you'll get a perfect gaussian curve.

Google --> "gaussian curve"

Bye, Marzio

Here is a good bell for 180000 4 dice rolls: 4,158 5,598 6,1403 7,2753 8,4846 9,7894 10,11049 11,14454 12,17408 13,19578 14,19982 15,19396 16,17588 17,14285 18,11079 19,7703 20,4968 21,2767 22,1406 23,539 24,146

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**References**:**RE: VMs: magical voynich dice game***From:*Jorge Stolfi

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