Nobody would believe this. But I used to kinda, well, foresee the future. (Torches and Pitchforks down, I'll explain.)
You don't really know when you're going to see or hear a dejavu. I've read that scientists believes that it happens when your brain messes up with your long-term and short-term memory storage. You kinda store something on you're seeing at the moment on your long-term memory and your brain makes a whole mess trying to remember "Where" you saw it something you're seeing just at the moment.
However I used to dream about something or have some kind of though of something, like remembering a music, a movie or a passage in a book and then on the same day I see it somewhere, a billboard, on tv or radio. If it were just a devaju I wouldn't have thought of that hours earlier, so it was difficult to explain.
Yet, my Precognition X-Men powers never worked for the lottery numbers, of course. I guess it was countered by my other superpower, Superhumanly Bad Luck.