Obviously, this needs more discussion but the kind of thought I was trying to motivate was the following:

How is that saying a non-repeating singular event has a very small probability of occurring different from saying it will not happen?

This was motivated by the lottery paradox. Questions like, when you buy a lottery ticket, you don't believe you will win, so why are you buying it?

Examples like these sort of pull my intuitions towards thinking no, it doesn't make sense to speak of probabilities for certain events.