There is one example in Kolmogorov complexity books and related articles:
Consider we have a monkey at a typewriter and a monkey at a computer keyboard.
If the monkey types at random on a typewriter, the probability that it types out all the works of Shakespeare (assuming that the text is 1 million bits long) is about
p_typewriter (works of Shakespeare) ≈ 2^−1000000
If the monkey sits at a computer terminal, however, the probability that it types out Shakespeare is now related to the Kolmogorov complexity of the works of Shakespeare, which can be approximated by
K(works of Shakespeare) ≈ 250000 bits
using a program that compacts these works using 250000 bits. Then:
p_computer(works of Shakespeare)≈2^−K(works of Shakespeare) ≈2^−250000
The example indicates that a random input to a computer is much more likely to produce “interesting” outputs than a random input to a typewriter.
We all know that a computer is an intelligence amplifier...
What actually the computer does?