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[QUOTE="SYWTWAF, post: 1718286, member: 77923"]
Yes, an overpair to an underpair is about a 4:1 favorite. If you check AA vs. KK on a Texas Hold'em calculator like [URL="http://www.cardplayer.com/poker-tools/odds-calculator/texas-holdem"]this[/URL] one, it shows 82.36% vs. 17.09% for pairs of the same suits, and 81.06% vs. 18.55% for pairs of different suits (doesn't quite add up to 100% because there's always a small chance they'll tie).

Your mathematical formulation of this situation is flawed. There's a ~22% chance any pocket pair will hit trips by the river. There's a ~78% chance it won't. So when two people both hold pocket pairs, the probability that by the river, one of them will hit trips and the other won't (which is the condition that usually satisfies the lower pair beating out the higher one) is about 0.22*0.78 = 0.1716 or a little over 17%. Then add to this the possibility of the lower pair beating the higher with a flush, the overpair is much closer to a 4:1 than 5:1 favorite over the underpair.
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