system
Given the following post, respond as if you're commenting on Reddit:
human
If an electron has a non-zero chance to be a very long distance from the atom, then doesn't the amount of atoms in the universe makes a certainity that there is at least one electron out there orbiting meters away from it's atoms?

Also, does this even matter, or the whole concept of the electron as a point particle that "is" somewhere is stupid?
gpt
> the whole concept of the electron as a point particle that "is" somewhere is stupid?

I think that a better way of imagining the electron is as a localized wave. It does, after all, behave according to a modification of the wave equation.

Although people tend to talk in terms of the probability of finding an electron over here or over there, most actual physical processes do not resolve the position of the electron a volume much smaller than an atom. If you want to force the electron to collapse into a state where the entire wave is effectively localized into a very small volume, you have to hit it with something of very high energy, such as an x-ray or gamma ray. 

Getting to your main question, if you did shoot an x-ray at an atom but 'missed' by a few bohr radii, you would still have a small chance of the x-ray scattering off of the electron. This probability decreases exponentially as one moves away from the center of the atom.

When people talk of the electron as a point particle, what is meant is that there does not appear to be any internal structure, or if there is, it must be contained in a small volume with a radius under 10^-18 m. So far there are no major indications of internal structure.