We can go further, though. Intelligence and tenacity are also things that were given to us. You don't choose to be smart, nor do you choose to be hardworking.
Whether you're born rich, smart, hardworking, or adaptable is all luck. In the end, your brain is a mesh of deterministic neurons -- "choices" are impossible.
Rawls is my favorite philosopher on the topic of social justice, and I can't recommend him highly enough.