" Chaos theory predicts that any complex iterative predictive system becomes no better than a wild guess. "

It is right that the theory of chaos cast a shadow on determinism.
I myself was supporting the same opinion in an other thread.
However it is not applicable in this case.

A chaotic system is something in continuos evolution
The current state of the system is influenced by the previous one and it influences the next one
You have used correctly the term "iterative"
In this situation, just in some cases...not alwayes !!! , the system becomes a wild guess

The throw of the dice is completely a different case
It is not "iterative" because at any throw you reset the initial conditions
Consequently any throw is a stand alone case which is not influence and does not influence the other throws

"it is impossible to have ALL information, therefore chance exists."

You also confuse the popular meaning of the word "chance" which we use in our normal dayly conversations and the scientific term

Do you seriously think that Heisemberg and Bohr on one side and Einstein on the other side have been discussing for years wether it possible or not , to have all the informations ?

The issue is much more deeper and it has nothing to do with the word "chance" as you use it

Determinism (Einstein) is in favour of the :

cause -> effect theory

The quantum theory (Bohr - heisemberg) is against

If an "event" occurs ,we all, not only Einstein, assume that there is an "explanation" for that event
Maybe such explanation is unknown but , we beleive , that this explanation (cause) must exist
If we throw a dice and we get 6 instead of 1 , we assume that this result was due to the fact that we threw the dice with a certain force rather than with a slight different one...
Maybe the force suitable for getting the 6 and the force for getting the 1 are unknown but , we think, they must exist

This is what we assume and we are right as long as we are talking about the macro world

Eistein thought that determinism must be true also for the atomic world
Hisemberg and Bohr said : No
The principle : cause - effect is not applicable to the sub atomic world
the sub atomic world is a pure lottery
It is not a matter of lack of information
It is a real lottery

Eistein replied that quantum phisics is a bloody mistake
but he was wrong

I hope now it is clear

We dont' know wh