Now; lets make things simpler. Say we can set with a very good precision the initial conditions. We're now talking about a SIMPLE dynamic system here with fully determined initial conditions. Now pay attention: Even if you can set the initial conditions on such a system, small differences have a totally different outcome; so as the time goes by; your predictions are getting enormously difficult to be true, thus rendering the predictions useless. This system's behaviour is called "deterministic chaos" and was first observed by Edward Lorenz who defined it like this:
Chaos: When the present determines the future, but the approximate present does not approximately determine the future. 1
Implicit in your point is that we can not specify initial conditions with exact precision due to Planck's constant (which is intimately related to that the speed-of-light is finite and also conceptually related to the Heisenberg uncertainty principle).
That is all fine and dandy, except it is irrelevant to games of chance in real world outcomes. If it were true that no order emerged from chaos, then entropy would be simultaneously infinite (internally) and 0 (externally) and nothing could exist from an internal nor external perspective. The internal perspective would fail to find any relative order (no point of reference with which to make an observation) and the external observer would observe a void.
Order exists at higher levels of conceptualization. And this is your myopia on
our disagreement about Armstrong's computer model and your other
egregious attack on knowledge. I encourage you to delve into the links I gave you to Armstrong's writings about his model and chaos theory wherein he explains that moving to higher dimensions can extract order that is hidden in lower dimensional conceptualizations similar to your myopia here.
P.S. you are correct that the existing stochastic models employed are one-dimensional and thus don't have the scope to pull order out-of-chaos. Armstrong developed a multi-dimensional entropy stochastic model which extracts hidden order.