It's the same as rotating a line to form a plane, then throwing a dart at the plane. Your chance of hitting the original line in the plane is infinitesimally small.
But that's not the point. The point is that a number line contains an infinite number of infinities.
There are enough mathematical points to enumerate every photon and quark in the Universe, and even the Multiverse.
But who has Time for that?
I think Pat does.
Maybe we can put Hillary in the Big House and give her the task.