I'm not super familiar with the various theories of probability, but if you're interested in thinking of these kinds of things, you might enjoy reading about th

I'm not super familiar with the various theories of probability, but if you're interested in thinking of these kinds of things, you might enjoy reading about the Universal Distribution, which is as far as I know defined in terms of Kolmogorov complexity. http://www.scholarpedia.org/article/Algorithmic_probability#Expected_Time.2FSpace_Complexity_of_Algorithms_under_the_Universal_Distribution http://www.scholarpedia.org/article/Algorithmic_probability#... I know the book Gems of Theoretical Computer Science has a good introduction to this topic as well.