Also, 'probabilities' are a construct based on observation, not logic.
Ok. But that's not really important. What's important is that, for random events, we must resort to this "construct based on observation" because identical trials don't yield identical results.
We can't just do it once and then know what's going to happen every time, so we're forced to run multiple trials, observe the results, and calculate the probabilities.
Now, the craps game I mentioned above, this would be an example of random results arising from a "random element" (variation in environmental variables and initial conditions from trial to trial) within a deterministic system.
Quantum experiments, however, are another thing altogether. I haven't read any QM papers in many years, but when I was studying the subject, the mainstream interpretation was that identical initial conditions and identical environments will result in different outcomes from trial to trial.
In fact, this is exactly what made QM so shocking, and sparked Einstein's famous retort that God does not play dice.
And yet, as predictions were made and further tests constructed and carried out, it seemed that there was indeed true randomness at the quantum level: identical initial conditions, identical environment, identical stimulus, variable results. True randomness. And, if that were true, the end of the model of the clockwork universe which had stood for centuries.
1 - there are factors we do not understand and that offers a range of results.
2 - there is a random element to the outcome.
Either way (as I have previously explained) determinism wins.
It has been proposed that quantum randomness may be a situation like #1 above -- the result of some hidden variable that our current technology can't detect. But I don't believe that's the mainstream interpretation. Perhaps some of the physics folks can chime in here.
But now we get into the issue at hand -- human behavior.
If we were to rewind the day to several hours ago, and somehow quell all random factors in the environment, so that nothing in the universe would happen differently unless I did something different... would I end up sitting here again typing these exact words? Would "I" be capable of "doing something different"?
Truth is, we don't know.
Quantum mechanics has shown that we can be surprised, and discover what is apparently true randomness where we never expected it.
Can the conscious mind introduce true randomness into the world on an entirely different level of magnification?
I don't think we understand enough about consciousness, and about the qualities and behaviors of emergent systems in general, to know for certain at this point one way or the other.