Reality is the resultant wave of all the individual possibility wave functions. Impossible things are impossible, or they don't happen because, their wave functions are nullified. In some sense, they also do 'exist' - or lets put it this way, they exist in a place before the 'existence' of reality is defined; i.e, they sort of 'pre-exist' everything.
The answer to the general problem of explaining a particular choice is thus the rejection of the completeness of the question. No choice is 'preferred' over other, as all choices are made, there is no selection. We can see particular choices being taking place not because they are the only ones that are made, but because they are 'also' made, which happens to be in our world.
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