I couldn't think where to post this, so I decided physics is the closest to answering this. Apologies for my amateur understanding of QM (0 understanding of QFT), I learn on free time by internet, so prepare for silly misconceptions.
If I understand correctly, our descriptions of QM objects will always be probabilistic. Their wave-like nature manifests itself in a relationship between, for instance, location (how well a wave is localized at one point) and momentum (how well a wave is defined over a large scale). But the particle is still bounded by it's environment and certain rules - if we pick a point in space we will know what is the probability of finding the electron there (say roughly 90% at 0.053nm from the proton of a H atom).
Question 1: Is the probability for finding an electron conditional? What I mean is, if we know the electron is found a few times more often than usual at a certain location per unit of time, will the electron be statistically 'compelled' to be found elsewhere to compensate? In other words, over a very short timescale, does the probability fluctuate?
Question 2: Is there any known / theoretical mechanism that produces true randomness? The more I think / read about it the more it seems that what randomness means is a question of definition. For instance random.org considers atmospheric noise 'truly random', but the only reason we consider it so is because of our 'ignorance' - the calculation has far too many variables and is too complex for our current understanding and tech. To my understanding QM objects do not appear random because of our ignorance - they truly are random. But how can such a mechanism exist? Is it simply that the most precise measurement must have a degree of randomness and the world is deterministic? Is the truth simply that all quanta are random, and causality is just emergent? Could we 'design' a blueprint of a mechanism that is truly random?