In quantum mechanics there is a law that states we cannot know a position and the momentum of a particle and so in a particle accelerator, we need to know the position of the particles we are going to crash into each other because or else would they not basically miss each other because we do not know the location of these. Next, if we do not know the particle's position how can we operate the magnetic fields without crashing these particles into the walls of the particle accelerator. As even a millimeter of inaccuracy might extrapolate and lead to a massive diversion from it desired path?
Furthermore, if we do not know the velocity of these particles assuming we know a very high accuracy of the particles position how can we even crash them into each other if they technically could be left behind or already past a location?
Or is it just done on basis of statistics and likeliness? If so is it impossible to collide ONLY 2 particles together at high energy levels without have certain amounts of pass-bys rather than a crash?