On Mon, 5 Dec 2016, Riccardo (Jack) Lucchetti wrote:

> The only problem is that the elements of "White" are not independent, since 
> their sum MUST equal 5 * 605, so that complicates things a little.

And that precisely why the hypergeometric distribution arises. However, 
with n as large as 69, the difference between a hypergeometric and a 
binomial (and hence a Gaussian, for large N) should be barely noticeable.

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   Riccardo (Jack) Lucchetti
   Dipartimento di Scienze Economiche e Sociali (DiSES)

   Università Politecnica delle Marche
   (formerly known as Università di Ancona)

   r.lucchetti(a)univpm.it
   http://www2.econ.univpm.it/servizi/hpp/lucchetti
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