That is true. However that's not how the question was posed. The question was: what are the odds that I, as a self-conscious entity whatever that is, get to experience myself in this time (and place)?

What is the reason behind limiting possible outcomes only by the humans that were born up to current time? I can't find any. Just because some humans weren't born yet doesn't mean they won't be. Someone from the future will ask themselves the same question: what are the odds for this lucky person to be born on the brink of 21st century? If the answer changes because they now know about more humans being born, then the answer is wrong.

Actually, I find no reason to be limited by only humans. There could be other self-conscious entities in the universe or multiverse. Why not count them?

So the question can't really be answered.