This really only applies to matter in which you do not currently have any skin in the game. Consider brushing your teeth. You've probably already chosen a favored tooth cleaning product, and it is likely dispensed from a tube. You likely have a full set if different clothes, tops, bottoms, etc, from which to choose and new choices among them are purchased occasionally, but, by and large, you are not limited to one or the other of that set, so that's settled choice as well.
But, such choices as: do you believe in god? That choice is not simply binary: yes or no. Which god? By what attributes? Is there peer pressure? Why is there a need?
Lots of choices like that which seem binary truly have multiple choices. So why do we consider one;y a binary world of choices?