Usage in Context
In Texas hold 'em, if the board is 5♠ 6♠ A♣ 9♠ 5♥, a player holding 7♠ 8♠ has the nut hand, a 9-high straight flush of spades, and cannot lose. On the same board, the hand 5♣ 5♦ would be the second-nut hand, four of a kind fives; the third-nut hand would be any pair of the remaining three aces, making a full house, aces full of fives.
It is important to note that the actual nut hand may not be the same as the absolute nut hand; for example, if the board is 7♥ 2♣ K♠ K♥ 3♦ a player with K♣ K♦ has the absolute nut hand. However, any player with K-7 knows that he has the nut hand as it is impossible for another player to have two kings. The phrase may also refer to a hand in progress with cards yet to be dealt, as the player can be said to have the nuts at that time. For example if a player holds 7♠ 8♠ on a board of 5♣ 6♠ 9♥ he can be said to have the nuts, however if the next card comes 7♥ then 8-10 becomes the nuts. This makes some nut hands very vulnerable in nine-card games, such as Omaha hold 'em.
In high-low split games one often speaks of "nut-low" and "nut-high" hands separately. In Omaha hold 'em, if the board is, 5♠ 6♠ A♣ 9♠ 5♥, any player with 2-3 makes the nut-low hand, 6-5-3-2-A, while a player with 2-4 makes the second-nut-low hand, 6-5-4-2-A (the nut-high hands remain the same as in Texas hold 'em, in this case 7♠ 8♠ to make a straight flush, although one can go as low as aces full by introducing quads and straight flush blockers). Similarly, one can sometimes hear the term "nut-nut", which refers to a hand that makes both the best possible high and low. In Omaha, with the same board as above, a player holding 7♠ 8♠ plus 2-3 of any suit has the nut-nut and is guaranteed no worse than a split of the low pot plus a win of the high pot.
Terms such as "nut flush" or "nut full house" may be used to refer to the strongest hand possible in a particular category, even though it may not be the nut hand overall. For example, a pair of aces with the above board could be called the "nut full house", even though there are two higher (but very unlikely) hands possible. Terms such as "second-nut flush" and "third-nut straight" are also applicable. The straight A-K-Q-J-T and any highest-possible flush is also often referred to as the nut flush/straight, regardless of any pairs/other threats on board.
Read more about this topic: Nut Hand
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