What is every hand worth on a 7 7 7 trips flop?
On a 7 7 7 trips flop, any hand containing the last seven makes quads, every pocket pair plays as an instant full house, and everyone else is fighting a pure kicker war over the board.
7 7 7
Trips boardsEquity vs one random hand
Notable hands on 7 7 7
| Hand | Flops | Equity | Why it matters |
|---|---|---|---|
| A7o | quads | 100.0% | Four sevens with an ace on the side. The deck cannot produce a better hand. |
| 72o | quads | 100.0% | The case seven makes quads even for the worst hand in poker. Poetry. |
| AA | full house | 94.9% | Sevens full of aces, the biggest full house and the best realistic holding here. |
| KK | full house | 91.5% | Sevens full of kings, second rung on the boat ladder. |
| 88 | full house | 77.3% | A modest pair, a made full house, and a comfortable favorite. |
| 22 | full house | 62.9% | Sevens full of deuces: technically a boat, practically the nervous kind. |
| AKo | nothing yet | 69.8% | No pair required. The board is the hand, and these are the best kickers. |
| A2s | nothing yet | 63.9% | Even a ragged ace wins the kicker war more often than not. |
| JTs | nothing yet | 46.7% | Suited and connected mean nothing when everyone already has trips. A slight underdog. |
| 32o | nothing yet | 25.2% | The worst kickers in the deck, fighting over a board that plays itself. |
Three sevens on the flop is a poker curiosity with a real lesson inside. Start with the strangest fact: pocket sevens cannot exist here. Three of the four sevens are on the board, so no player can hold two more, and the quads belong instead to anyone holding the single seven left in the deck. A7 offsuit, 72 offsuit, it makes no difference: one seven means four sevens.
Behind the quads, the full houses line up by rank. Every pocket pair is a made full house, sevens full of that pair, sorted strictly by size: sevens full of aces at the top, kings next, all the way down to sevens full of deuces, which wins less than its label suggests because every higher pocket pair and the case seven have it beat, and even an unpaired opponent can outdraw it by pairing a bigger card.
Everyone without a pair or a seven is playing the purest kicker war in poker. The board hands trips to every player at the table, so the winner between two unpaired hands is simply whoever holds better side cards. That is why AK is a solid favorite with no pair at all, why a lone ace carries real weight, and why small connected hands like JT suited, with neither high cards nor a live draw, quietly slip below even money.
People go wrong by forgetting what the board already gave everyone. Players see trips in their hand reading and feel strong, but the trips belong to the table, not to them, and a naked queen-high holding is just queen high with extra steps. Sizing logic flips too: almost nothing improves or falls behind on later streets, so the pot is mostly decided the moment the cards are dealt. When a flop comes 7 7 7, count your kickers, respect any raise, and remember that exactly one seven is out there somewhere.
All 169 hands on 7 7 7
Equity of every starting hand class against one random opponent hand on 7 7 7, averaged over the class's possible suit combinations. Sorted best to worst within each group.
Pairs
| Hand | Flops | Equity |
|---|---|---|
| AA | full house | 94.9% |
| KK | full house | 91.5% |
| full house | 88.4% | |
| JJ | full house | 85.4% |
| TT | full house | 82.6% |
| 99 | full house | 79.7% |
| 88 | full house | 77.3% |
| 66 | full house | 73.5% |
| 55 | full house | 70.8% |
| 44 | full house | 68.1% |
| 33 | full house | 65.4% |
| 22 | full house | 62.9% |
| 77 | blocked | n/a |
Suited
| Hand | Flops | Equity |
|---|---|---|
| A7s | quads | 100.0% |
| K7s | quads | 100.0% |
| Q7s | quads | 100.0% |
| J7s | quads | 100.0% |
| T7s | quads | 100.0% |
| 97s | quads | 100.0% |
| 87s | quads | 100.0% |
| 76s | quads | 100.0% |
| 75s | quads | 100.0% |
| 74s | quads | 100.0% |
| 73s | quads | 100.0% |
| 72s | quads | 100.0% |
| AKs | 70.1% | |
| AQs | 68.8% | |
| AJs | 67.8% | |
| ATs | 66.8% | |
| A9s | 66.2% | |
| A8s | 65.7% | |
| A6s | 65.3% | |
| A5s | 64.8% | |
| A4s | 64.4% | |
| A3s | 64.2% | |
| A2s | 63.9% | |
| KQs | 61.3% | |
| KJs | 60.2% | |
| KTs | 59.3% | |
| K9s | 58.9% | |
| K8s | 58.4% | |
| K6s | 57.8% | |
| K5s | 57.4% | |
| K4s | 57.3% | |
| K3s | 57.0% | |
| K2s | 56.5% | |
| QJs | 53.4% | |
| QTs | 52.4% | |
| Q9s | 52.0% | |
| Q8s | 51.4% | |
| Q6s | 50.7% | |
| Q5s | 50.5% | |
| Q4s | 50.3% | |
| Q3s | 49.9% | |
| Q2s | 49.5% | |
| JTs | 46.7% | |
| J9s | 46.2% | |
| J8s | 45.9% | |
| J6s | 44.6% | |
| J5s | 44.4% | |
| J4s | 43.9% | |
| J3s | 43.7% | |
| J2s | 43.4% | |
| T9s | 41.5% | |
| T8s | 41.2% | |
| T6s | 40.0% | |
| T5s | 39.2% | |
| T4s | 38.6% | |
| T3s | 38.6% | |
| T2s | 38.1% | |
| 98s | 38.0% | |
| 96s | 36.6% | |
| 95s | 35.8% | |
| 94s | 34.7% | |
| 86s | 34.4% | |
| 93s | 34.3% | |
| 92s | 34.1% | |
| 85s | 33.3% | |
| 84s | 32.5% | |
| 65s | 32.1% | |
| 83s | 31.4% | |
| 64s | 31.1% | |
| 82s | 31.0% | |
| 63s | 30.0% | |
| 54s | 29.9% | |
| 62s | 28.8% | |
| 53s | 28.8% | |
| 43s | 28.3% | |
| 52s | 27.6% | |
| 42s | 27.2% | |
| 32s | 26.9% |
Offsuit
| Hand | Flops | Equity |
|---|---|---|
| A7o | quads | 100.0% |
| K7o | quads | 100.0% |
| Q7o | quads | 100.0% |
| J7o | quads | 100.0% |
| T7o | quads | 100.0% |
| 97o | quads | 100.0% |
| 87o | quads | 100.0% |
| 76o | quads | 100.0% |
| 75o | quads | 100.0% |
| 74o | quads | 100.0% |
| 73o | quads | 100.0% |
| 72o | quads | 100.0% |
| AKo | 69.8% | |
| AQo | 68.4% | |
| AJo | 67.4% | |
| ATo | 66.5% | |
| A9o | 65.9% | |
| A8o | 65.6% | |
| A6o | 64.8% | |
| A5o | 64.6% | |
| A4o | 64.0% | |
| A3o | 63.9% | |
| A2o | 63.5% | |
| KQo | 60.8% | |
| KJo | 59.7% | |
| KTo | 58.8% | |
| K9o | 58.1% | |
| K8o | 57.9% | |
| K6o | 57.4% | |
| K5o | 56.9% | |
| K4o | 56.4% | |
| K3o | 56.2% | |
| K2o | 55.9% | |
| QJo | 52.6% | |
| QTo | 51.6% | |
| Q9o | 51.1% | |
| Q8o | 50.5% | |
| Q6o | 50.1% | |
| Q5o | 49.7% | |
| Q4o | 49.1% | |
| Q3o | 48.9% | |
| Q2o | 48.8% | |
| JTo | 45.7% | |
| J9o | 45.2% | |
| J8o | 44.6% | |
| J6o | 43.5% | |
| J5o | 43.1% | |
| J4o | 42.9% | |
| J3o | 42.6% | |
| J2o | 42.2% | |
| T9o | 40.3% | |
| T8o | 39.9% | |
| T6o | 38.7% | |
| T5o | 37.7% | |
| T4o | 37.5% | |
| T3o | 37.1% | |
| T2o | 36.7% | |
| 98o | 36.4% | |
| 96o | 35.0% | |
| 95o | 34.2% | |
| 94o | 33.2% | |
| 86o | 32.8% | |
| 93o | 32.8% | |
| 92o | 32.6% | |
| 85o | 31.8% | |
| 84o | 30.8% | |
| 65o | 30.5% | |
| 83o | 29.6% | |
| 64o | 29.3% | |
| 82o | 29.3% | |
| 63o | 28.4% | |
| 54o | 28.2% | |
| 53o | 27.2% | |
| 62o | 27.1% | |
| 43o | 26.6% | |
| 52o | 25.8% | |
| 42o | 25.5% | |
| 32o | 25.2% |
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