[flux_w42]

You're talking about a cryptographically secure random. Normal random can really contain any sequence, including a repeating string of 1's or 0's. The infinite monkey theorem proves it :)

[ajuc]

I'm of the opinion that any definition of random string that says the same string S is random or not depending on how we got it is just silly.

IMHO random string = string that has Kolmogorov complexity = length of this string.

Almost all strings we got from random variables with uniform distribution are random, but not all.