The difference between Fuzzy Logic and Probability

Suppose you have an Event 'V' and your degree of certainty 'P' for output Y, so in Probability, you say that I'm 'P' certain that V's output will be Y, BUT after V occurs, P isn't true for this instance of V as P is either 1 or 0, as you already know the output by now.
For example you have an exam tomorrow for subject X, and you say I'm pretty sure that the exam will be 60% easy, 30% very easy, and 10% hard, but after you take the exam you know now that the exam is hard, so the other probabilities are all 0 and Hard is 1.

In fuzzy logic the membership P of Y to a certain Set is a fact and stays as it is after the event is executed so if the subject is 0.8 easy and the exam had been hard the subject will still have the membership of 0.8 to easy.

So probability has no meaning after the event occurs, but membership is like a fact/knowledge it will still be true after the event.

Another Saying :

The difference between probability and fuzzy logic is clear when we consider the underlying concept that each attempts to model. Probability is concerned with the undecidability in the outcome of clearly defined and randomly occurring events, while fuzzy logic is concerned with the ambiguity or undecidability inherent in the description of the event itself. Fuzziness is often expressed as ambiguity rather than imprecision or uncertainty and remains a characteristic of perception as well as concept.