I’ll just explain why I have come to this question here. I was thinking about the multiverse thing. It occurred to me that if the multiverse is real, as in an infinite quantity of universes, then there is an infinite number of universes where you exist in every variation and an infinite number of universes where you don’t exist in every variation. So if, at random, a portal links two universes together, there is a chance that you will link to a universe with another version of you. It seems like the probability of this would he low, but not zero, despite the fact there would be infinitely more universes without a version of you than there would be with one.
In: Mathematics
Precisely 0. If we have a continuous bounded set as the event space say reals from 0 to 1 and we ask the probability of picking a given number with uniform prob. distribution (so no bias towards anything) we get 0. Now there are still something to be done here. You can introduce a distribution as asking what is the probability of you picking a value up to some value. Or whats usually more workable is a probability density function which is about the probability of you picking in some interval.
For uniform distribution this would be a constant function, say between 0.25 and 0.75 you have a 0.5 probability of picking form this subset.
It gets tricky with discreet infinite values, infinite discreet sets tend to not be bounded and here the ideas of probability can start to break down. There are of course countable infinite bounded sters like the rationals between 0 and 1 and there are continuum infinite but discreet bounded sets as well like the Cantor set.
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