I saw a cool video a while back where someone made an online version of that psychic card test where you guess what shape is on the card. It turned out the results skewed significantly more towards correct guesses than would be expected statistically. It was because people who weren't doing well in the first few draws were quitting out and not having their results saved, but people who got a streak of good guesses kept going.

I'm pretty sure we do that in our day-to-day lives as well. Guessing something wrong or not having a seemingly prophetic dream is unremarkable, but guessing right or having deja vu is something special that we remember.