Note that it makes a lot of assumptions beyond the stated ones, such as:

* the only objects in space are stars

* all stars are equally bright

* the average brightness is one that can be seen

(unless you roll all this into "homogeneous"?)

Yeah I'm confused because couldn't a black hole between us and a star be the reason for a black spot? That times a bajillion for whatever else is out there.

gravitational lensing would make the light go around the black hole.