Why does 0 probability not mean impossible?

I’ve been thinking about some real life examples that imply that 0% does not mean impossible.

Some examples are:

1: Consider a dart being thrown onto a dart lboard. What is the probability it will land in any given spot? As far as we know, space is continuous, meaning there are infinitely many places the dart could hit, and lim n->infinity (1/n) = 0, implying a 0% chance, however the dart will still hit somewhere.

2: What is the probability any random chosen rwal number is the number I’m thinking of?. Again, lim n->infinity (1/n) = 0, implying a 0% chance, but it can still happen.

Am I misinterpreting what 0% means or?

Author: Quick_Aerie_162