You (the child) do not get to pick the outcome. Hence it is a lottery.
You seem to be missing the point that we are stuck with who we are. Our mental and physical faculties are handed down to us. We receive them, even though they define us. We experience ourselves.
It's unambiguously true that no one chose their genes or their childhood environment. That statement doesn't require a metaphysical chooser who might have made the choice.
What's the underlying point you're trying to get across? It doesn't seem like a productive thing to go on about.
> Modern twin studies have concluded that almost all traits are partly influenced by genetic differences.