Odds of two players getting three-of-a-kind in a game of poker?

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from another thread on probability:

What are the odds of two players getting three-of-a-kind in a game of poker?
My first idea was to square the chance for three-of-a-kind for one player, but that doesn't seem right to me since it doesn't take the shared cards on the table into account.
 
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How many players? How many decks? Do you count a hand as a 3-of-a-kind even if a better hand is possible?
 


never mind, solved.
 

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