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I was told that the digits of $\pi$ are random (or at least nearly so). Would $\pi$/2 etc. also have that property? Which other numbers have that property? In case there are a vast number of them, do they have some common properties such that one could computationally randomly pick one out of a class of such numbers for use? If one combines two such numbers digitwise $\mod 10$, is it always true that the result can only be better random and never worse?

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    See http://en.wikipedia.org/wiki/Normal_number.2012-09-27
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    You way be interested in [this Wikipedia article](http://en.wikipedia.org/wiki/Normal_number) on normal numbers. The question you are asking is about *simply normal numbers* to the base $10$.2012-09-27
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    Actually, those numbers that are most easily proved to be base-10 _normal_ (like [Champernowne's constant](http://en.wikipedia.org/wiki/Champernowne_constant)) are far from what one might really call _random_ ...2012-09-27

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