But those aren't identical. If I lose the $100 bill, I'm out those hundred bucks whether I buy a ticket or not. Whereas if I lose the ticket, I get to keep the money if I don't buy a replacement.
Scenario B: The setup is (1) lose $100 (current state is -$100, 0 tickets). The choices are the same as above.
The final 'state' at the end of each setup is the same, and the choices are the same, so the argument is that a rational actor would make the same choice in both situations. Maybe there's an argument that the state should include more than just $ and tickets though?