This is an interesting theory, and if we were just a collection of atoms, of course, there would be a copy of you out there.

Fortunately, we are all unique, in all of space and time.

The ramifications of the double slit experiment is that the universe doesn't hold superfluous information. Meaning, if there was actually two of you, it would just be you, in two places.

Further, what we call scientific laws are not the same galaxy to galaxy. In your analogy, that means this galaxy uses 6 sided dice in its boxes, and andromeda uses 7 sided dice (with different symbols), so there can never be a match.

Yes, your statistics are correct, but the assumptions are invalid.