I'm merely paraphrasing Nobel laureate Ilya Prigogine's (creator of Chaos Theory) example of order and disorder in a system. I'm certainly open to hearing a better explanation from a more credible source.
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First, I must point out chaos theory is used for the study of dynamic deterministic systems that exhibit non-linear behavior. That implies that they are basically orderly, by some measure. This is true for both math and physics. Second, I am not talking about quantum chaos. That is a whole nother ball of wax.
Thus, the example that you used has limits to it's application, as I pointed out. Note the lack of true randomness, in the correct use of your example.