Corpuscle comments on ELI5: Entropy.: "In nature, systems always tend to move from low-entropy to high-entropy states. In the most abstract sense, this is just because of pure dumb luck: There are more combinations of coins that add up to "some of each" than either "all up" or "all down," so pure random chance dictates that we're far more likely to go from the all-up state to the some-of-each state than the other way around … and furthermore, that as we continue to shake the box, we're far more likely to stay in the some-of-each state, because the odds against getting all the coins to land heads-side-up are enormous.
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