I don't deny that you feel freaked out by this experience, but it isn't all that surprising. When calculating the probability of an unlikely event, you must also consider all the other events that could have happened and that you would have found equally weird.
Of the trillions of other equally-unlikely coincidences that didn't occur, here are a few examples:
For more on this subject, I'd recommend Innumeracy, and especially Chapter 2: Probability and Coincidence.
This is a kind of "X files" thread.
Post experiences which spooked you, which made you doubt reality, mathematical or physical laws, your sanity, memory or perception. The more improbable the better, but no second-hand legends please, share only what you personally experienced. If you had the event later explained rationally please use rot13 to avoid spoilers.