I'm having trouble understanding this statement: "any two deterministic quantities are independent"
The example the text provides is as follows: $$Prob(\varnothing\cap\Omega) = Prob(\varnothing) = 0 = Prob(\varnothing)P(\Omega) $$ Which proves $\varnothing$ and $\Omega$ are independent.
However, we cannot say that any event A and its complement, $A^C$, is necessarily independent(at least I don't think). My question is why are two deterministic quantities are independent? (Maybe I'm just not understanding what deterministic in this context means?)
Any guidance is greatly appreciated :)