As we might put it: Kolmogorov randomness is conceptually linked to disorderliness, and while we can gerry-rig a notion of ‘biased disorder’, that doesn’t really answer to what we already know about the incompressibility of disorderly sequences. While we might well regard a sequence featuring even numbers of heads and tails, but produced by successive tosses of an unfair coin, to be biased in some sense with respect to the underlying measure of process behind it, it is still plausible that this unrepresentativeness of the sequence isn’t conceptually connected with disorder in any interesting sense. It is very intuitive, as this remark from Dasgupta suggests, to take that biasedness—the increased orderliness of the sequence—to contrast with randomness: