> For higher numbers of marbles the probability becomes lower and lower, but is never 0. Exactly. It doesn’t take a very large jar to make a return to an origi

> For higher numbers of marbles the probability becomes lower and lower, but is never 0. Exactly. It doesn’t take a very large jar to make a return to an original state practically impossible. But even for two marbles, shaking them to return them to their original locations costs a fair amount of organized energy. And that is organized chemical energy in your muscles, which you are dissipating as disorganized heat energy due to your efforts, increasing the total disorganization. And the marbles are microscopically wearing down, shedding compounds. The jar is also wearing down. Both becoming less organized. So even with two marbles, overall entropy continues increasing. We can locally reverse entropy, only at the cost of actually increasing entropy in total. - Organizing your day takes effort and uses up useful organized energy. - Computation uses up useful organized energy. - Your cells, maintaining their metabolism, uses up useful organized energy. No matter what we do, entropy still increases.