In sci.math message <email@example.com>, Wed, 28 Nov 2012 21:38:34, Existential Angst <firstname.lastname@example.org> posted:
> >So are the digits of pi random or not? >
The digits of pi are not random, because, unless the base is changed, they are the same every time and can be defined relatively briefly, even without assuming a definition of pi (which pi may formally lack).
But any arbitrarily chosen sub-sequence of the digits of pi will, I believe, pass an appropriate proportion of the usual tests for randomness. Note that the full expansion of the digits of pi contains as sub-sequences of a given length all possible digit strings of that length, some of which will not look random to the untutored eye, such as yours.
A real mathematician could put that more precisely.
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