I think it resumes of our limited view of things that we indeed are dependent of some sort of system.
The lottery ball - who created the machine, and the balls? Why were they designed and they did? The enviroemnt, gravity etc.
The same applies to the ride. The ride represents a system designed by someone for different uses buy limited in functionality to what it was created for. You can choose which road you take, but the road can be paved or not, there can be dangers and there are signs that advert us, you can decide going out of the road, though not gonna be a very good ride.
So yes, I BELIEVE in free will (intentionally highlighted) and I enjoy it, because I know I was designed like this with a purpose, and though I depend on a pre made structure I know I can freely take decisions within that structure and get to accomplish the purpose I was CREATED for.
The maze game: I know there is a beginning and an end. And there is a path between the two, within the maze as in life we take decisions in our directions, sometimes the wrong ones, but while some choose to just quit and not go forward, there are those who recognize their error, and go back to finding the right path. Ooh, how good is to make that journey with a GUIDE.