The Shooting Room is set up such that (i) it is guaranteed that at least 90% of people who ever enter it are shot, but (ii) for any given person, whether they are shot or not depends on the flip of a fair coin. Given that V is called into the room, what is the probability that V is shot? Both “50%” and “90%” answers seem compelling. The paradox, however, depends on metaphysically impossible assumptions about an infinite population and infinite time or speed. Given any metaphysically possible (finitist) assumptions, the correct probability comes to 50%.
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