In other words, "you" had 100% chance of being you. No luck involved.
It's still useful to think as if different people could have been born in different circumstances. You could think of it as a mental shorthand for the idea that differences between human beings are arbitrary, and it makes no sense to argue that a human inherently deserves an impoverished life over another human.
It also seems a bit homo-centric coming from a human.
BTW, I think we do have genuine subjective probability, even though the universe is deterministic.
This isn't like flipping a coin: it could come up heads or tails.
You must be thinking of some kind of immortal soul.