This isn't a massively popular theorem, nor can I find any articles mentioning it, but it does get thrown about on the odd occasion. There is a saying in Texas Hold'em that “sets win money and trips lose money”. The gap between the odds is large because it's obviously much easier to hit 1 card out of 2 than 2 cards out of 3 over three trials (the flop). It's interesting to note that it's 9 times harder to make 3-of-a-kind without a pocket pair on the flop than it is to make 3-of-a-kind with a pocket pair. trips article, but I thought I'd go ahead and list them here anyway. This information doesn't really add much or lead on to anything in this set vs. Note: These odds are for hitting a set or trips exactly, not a set or trips at least.
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