The chances of that exact event happening is: 1 out of 48400! (The odds of being dealt AA or KK are both 1/220, so the odds of both events happening at the same time is 1 / (220 x 220))

Though that doesn't account for similar situations like JJ vs. KK or AQ vs. AK; and then when you consider the number of hands you play, the odds really aren't *that* bad of something like this happening. I've had it happen to me and seen it happen lots. Most memorable time was when my QQ lost to KK about 5 minutes into an afternoon of poker with my friends; the flop came all rags so I thought I was good, as there were only 2 hands that could've called my pre-flop raise and still be beating me at the time. He had one of them <_< I lost half my stack there. But then I did pretty good and made it to the last 3 of 10 people; but then I lost to the same guy with AK against: 9-5!!! I flopped a king with a ragged board, and he called my all-in bet with only a pair of fives - then the river was a 9. Bastard.