Is there a way to resolve probability of an event, given another event that never happens? Mathematically speaking the problem is:
Given that $P(B) = 0$,
$$P(A|B)=\frac{P(A \cap B)}{P(B)} = \frac{0}{0}$$
Is this probability vacuously $0$ of $1$? Can we show that it's one or the other?