The mystery vanishes in the de Broglie-Bohm theory. If the particle is in fact in the back of the wave packet it is reflected and the cat lives. If it is in the front the particle is transmitted and the cat dies. (Here I save the cat from death - it just gets a bit annoyed by the particle and stands up in the box. (It can't be standing (dead) and sitting (alive) at the same time.
Full information and downloads available at http://www.phys.port.ac.uk/fpweb%20dell/
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