Fate is not predetermined anyway.
So when I choose, I imagine I'm choosing, but really it's all predetermined.
The contestants were judged based on a predetermined factor, such as time or endurance, much like the first challenge.
The final result of the struggle is predetermined by the relation of forces.
In automatic fire-sprinklers the orifices of the pipes are closed with fusible metal, which melts and liberates the water when, owing to an outbreak of fire in the room, the temperature rises above a predetermined limit.