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

**Physics Forums | Science Articles, Homework Help, Discussion**