Thats some very interesting rambling. Thanks for sharing your thoughts.
My post was more of a tangent off on the subject of game probabilities, which is a different animal than the probability of one wave form collapsing out of all the possible wave forms an a quantum system.
Shuffling a deck of cards is very deterministic, its just impossible for the human eye and mind to follow the cause-effect chains that end up in the random shuffle.
Quantum mechanics is different than that.
Nevertheless, game probabilities are a good analogy in some respects, dont you think?
Just as the chances of getting dealt 13 spades in a bridge hand is very remote (but possible), so outcomes of experiments in particle physics do allow for the occasional occurrence of a highly improbable event.
Or am I wrong to think that the analogy is apt?
The probability of being dealt all spades is not less than the probability of being dealt any other particular hand.
As an analogy, I don't think it fits Quantum indeterminism, because it does not allow for just anything to happen. The uncertainty is limited. I suppose if you think of all possible hands being the limiting factor (Planck's constant?), it might be. Honestly haven't given as much thought as it deserves.
Hank
I believe that you are exactly correct. The proto-typical example I recall is of a "particle" in a potential well. The particle has a finite amount of kinetic and potential energy.
Classical physics predicts that the particle cannot leave the well, because there is insufficient energy to escape. Quantum physics predicts that there is a small probability that the particle can leave the well, appearing outside the well. I believe this is referred to as "tunneling".
I don't think that radioactivity of many substances is possible without this effect. The particles emitted from radioactive nuclei shouldn't be able to escape the nucleus; but they DO.
Quantum physics is not just classical physics with uncertainty thrown in. It is more complicated than that. Quantum physics predicts events which can't happen given the constraints of classical physics.