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The probability of getting two pair or three of a kind in a standard 5-card poker hand is approximately 23.5.
The probability of getting a poker hand with three of a kind and a pair in a standard 52-card deck is approximately 0.24, or 1 in 416.
Having a poker hand with three pairs is very rare. It is not a standard hand ranking in poker, so it is not commonly seen in games. The likelihood of being dealt a hand with three pairs is extremely low compared to other standard poker hands.
The odds of getting three pairs in a single hand of poker are approximately 1 in 20,000.
In a standard poker game, the full house rankings are as follows: Three of a Kind and a Pair.