I'm using the standard dictionary definition of "able to be known, seen or declared in advance" (there's also "behaving in a way that is expected" which is not relevant). We are discussing events that are not known in advance, so by the dictionary definition, they are not predictable. Knowing the probability is not the same as you will not be able to say "it's going to happen this time".

Sorry, but you're using a bizarre definition of predictability. If I were to say that the chances of anything coming from Mars are a million to one, then you'd be considering it "predictable".