I will include page nums so you can read for yourself and see if I butchered the baby in translation.
Probability still works.
It is just the binary subset of fuzzy theory. It's just that probability is the binary-only implementation of fuzzy. It measures the degree to which an event occurs, not whether it occurs. An event occurs or not, and you can bet on it. In my own parlance, I can go out of the room and you can see me through the door.