Lack of free will does not entail predeterminism.
Things can be (
and are) indeterministic... but that does not entail free will.
The balls' trajectories
in the video below are indeterministic ... but yet the metal balls have no free will...
You ever see a good pool player? They can predict exactly how a ball will ricochet around and what will do. That's fine for inanimate objects. But does a living consciousness operate like a billiard ball?
Also, the Galton board has built-in fails for comparisons here.
You can't control the precise spin of each ball as it enters, or whether it is perfectly round, or the vibrations on the board
causing 'random' changes in trajectory, how straight the nails/pins are driven, etc.
If you could account for these things,
I'd bet you could predict exactly the path a ball would take.