The effect of these tiny random events would propagate upwards and perhaps cause an apple to fall from a tree. A sub-atomic particle vibrating randomly in a certain way could fire a neuron, giving you a new thought.
Even if life isn't determined, can you really say there is free will? You can't control the way that sub-atomic particles will behave, you may have the illusion of control in your head but at the end of the day it would come down to physics and randomness.
Personally, I don't find this opinion a healthy one, so I tend not to dwell on it much.