Set vs Trips: Why the Same Three of a Kind Plays So Differently
A set and trips are both three of a kind; the difference is where the cards are. A set is a pocket pair plus a matching card on the board: 7♦7♣ on K♠ 7♥ 2♦. Trips are one card in your hand plus a pair on the board: K♣7♣ on 7♥ 7♠ 2♦. They rank the same at showdown, but the set is worth more: nobody sees it coming, and it never loses a kicker battle.
Middle set on the river
On the button with 7♠7♣, you bet small on K♠ 7♦ 2♣ and the big blind called. The turn 4♥ checks through, the river is the J♠ and the big blind checks. Check, bet 55%, overbet 150% or all‑in?
See the answer
The hand. Middle set on K♠ 7♦ 2♣ 4♥ J♠: no straight or flush is possible, so it beats every king and every two pair, and loses only to K‑K and J‑J.
The decision. The author's answer is the 55% bet: after the turn checks through, the big blind's range is capped and full of hands that beat nothing but bluffs. A medium bet gets called by exactly those kings and two pair, where an overbet would fold most of them.
Set or trips: the equities on the flop
Equity with the turn and river to come:
| Hand | Board | Opponent | Equity |
|---|---|---|---|
| set 7♦7♣ | K♠ 7♥ 2♦ | A♠K♦, top pair | 98.4% |
| set 7♦7♣ | K♠ 7♥ 2♠ | Q♠J♠, flush draw | 73.5% |
| trips K♣7♣ | 7♥ 7♠ 2♦ | 8♦8♥, pocket pair above the board | 91.4% |
| trips K♣7♣ | 7♥ 7♠ 2♦ | A♦7♦, same trips, better kicker | 20.5% |
| set 2♣2♥ | 7♥ 7♠ 2♦ | A♦7♦, trips | 77.1% |
The fourth line is the kicker trap: two players with the same trips share the same three cards, and the kicker decides. The last line is the reverse case: on a paired board a set is already a full house, so even a set of twos beats trips.
Why the set is worth more
- It is hidden. K♠ 7♥ 2♦ looks harmless, so top pair pays off; 7♥ 7♠ 2♦ warns every player that a seven is possible.
- It has no kicker problem. Only another seven can share trips, and then the kicker decides; a set loses only to a bigger set, a straight, a flush, a full house or quads.
- It is the likelier three of a kind. Holding a pocket pair, you flop a set or better 11.8% of the time; holding two unpaired cards, you flop exactly trips only 1.3% of the time, about nine times less often. That 11.8% is the basis of set mining: see implied odds.
Keep going
- The full order of hands: poker hand rankings.
- A set against the draws: set vs flush draw.
- What a paired board changes: paired boards.
- The hand just below: two pair in poker.
- How to find the best possible hand on any board: the nuts in poker.
- When a strong hand loses to a stronger one without a mistake: cooler in poker.
- A pocket pair below every board card: the underpair in poker.
- Three of a kind plus a pair, and how often it fills: the full house in poker.
- Four cards of one rank, and how rare they are: four of a kind in poker.
Sources
- Equities enumerated exactly over every turn and river; flop odds counted over the 19,600 possible flops.
- Definitions: PokerNews, "Trips" (poker terms).