Solver answer
Q♥7♥ on K♠6♣7♦: bet or check from the hijack?
4-handed tournament, 50 big blinds · Hijack opens, big blind calls · Flop K♠ 6♣ 7♦ · Big blind checks · Hijack to act
Updated
The solver's answer
Bet 54% Check 46%
pot · 5.2 bb
Q♥7♥ bets a little more than half the time, always the size of the pot, the one size this solve allows.
K♠6♣7♦
Q♥7♥ You
- Pot
- 5.2 bb
- Behind
- 47.9 bb
- Big blind
- Checks
In a 4-handed tournament at 50 big blinds, after the hijack opens to 2.1 bb and the big blind calls, then checks a K♠ 6♣ 7♦ flop, the hijack bets Q♥7♥ 5.2 bb into 5.2 bb 54% of the time and checks 46%, according to a solver answer published free by Poker Skill.
Why Q♥7♥ bets about half the time
- Betting and checking are worth almost exactly the same to Q♥7♥, about 3.35 bb each; the solve mixes the two.
- Q♥7♥ has a pair of sevens with a queen kicker and 66% equity against the big blind's checking range.
- The hijack's whole range checks 52% and bets 48%. Its strongest hands bet most: overpairs 100%, two pair 95% and top pair 69%, while underpairs check 96%.
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The full strategy, hand by hand
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA B 100 % | AKs B 100 % | AQs X 98 % | AJs X 89 % | ATs X 91 % | A9s X 81 % | A8s X 54 % | A7s B 84 % | A6s X 96 % | A5s B 56 % | A4s B 73 % | A3s B 54 % | A2s B 59 % |
| K | AKo B 98 % | KK X 68 % | KQs B 99 % | KJs B 89 % | KTs B 71 % | K9s B 83 % | K8s X 51 % | K7s B 100 % | K6s B 95 % | K5s X 86 % | K4s X 91 % | K3s X 96 % | K2s X 100 % |
| Q | AQo X 98 % | KQo B 95 % | QQ X 100 % | QJs B 52 % | QTs X 51 % | Q9s B 67 % | Q8s X 57 % | Q7s X 54 % | Q6s X 79 % | Q5s B 52 % | Q4s X 59 % | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo X 82 % | KJo B 62 % | QJo X 67 % | JJ X 100 % | JTs B 58 % | J9s B 75 % | J8s B 68 % | J7s X 67 % | J6s B 61 % | J5s Not in this range here | J4s Not in this range here | J3s Not in this range here | J2s Not in this range here |
| T | ATo B 52 % | KTo B 67 % | QTo B 55 % | JTo B 56 % | TT X 92 % | T9s B 95 % | T8s B 62 % | T7s X 95 % | T6s X 84 % | T5s Not in this range here | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o B 51 % | K9o B 60 % | Q9o B 66 % | J9o B 74 % | T9o B 63 % | 99 X 73 % | 98s B 80 % | 97s X 70 % | 96s X 87 % | 95s Not in this range here | 94s Not in this range here | 93s Not in this range here | 92s Not in this range here |
| 8 | A8o B 63 % | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o Not in this range here | 98o X 71 % | 88 X 63 % | 87s X 86 % | 86s X 94 % | 85s X 95 % | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o B 80 % | K7o Not in this range here | Q7o Not in this range here | J7o Not in this range here | T7o Not in this range here | 97o Not in this range here | 87o Not in this range here | 77 B 95 % | 76s B 90 % | 75s X 68 % | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o Not in this range here | K6o Not in this range here | Q6o Not in this range here | J6o Not in this range here | T6o Not in this range here | 96o Not in this range here | 86o Not in this range here | 76o Not in this range here | 66 B 93 % | 65s X 57 % | 64s X 56 % | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o B 85 % | K5o Not in this range here | Q5o Not in this range here | J5o Not in this range here | T5o Not in this range here | 95o Not in this range here | 85o Not in this range here | 75o Not in this range here | 65o Not in this range here | 55 X 100 % | 54s B 73 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o Not in this range here | K4o Not in this range here | Q4o Not in this range here | J4o Not in this range here | T4o Not in this range here | 94o Not in this range here | 84o Not in this range here | 74o Not in this range here | 64o Not in this range here | 54o Not in this range here | 44 X 100 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o Not in this range here | K3o Not in this range here | Q3o Not in this range here | J3o Not in this range here | T3o Not in this range here | 93o Not in this range here | 83o Not in this range here | 73o Not in this range here | 63o Not in this range here | 53o Not in this range here | 43o Not in this range here | 33 X 99 % | 32s Not in this range here |
| 2 | A2o Not in this range here | K2o Not in this range here | Q2o Not in this range here | J2o Not in this range here | T2o Not in this range here | 92o Not in this range here | 82o Not in this range here | 72o Not in this range here | 62o Not in this range here | 52o Not in this range here | 42o Not in this range here | 32o Not in this range here | 22 X 83 % |
- Check: 52.02% of the range (211.34 combos)
- Bet pot (5.2 bb): 47.98% of the range (194.96 combos)
Each cell is a hand class. Its letter is the action the class takes most (F fold, X check, C call, B bet, R raise) and its number is how often, in percent. In the labels, s means suited and o means offsuit.
| Hand class | Combos | Check | Bet pot (5.2 bb) |
|---|---|---|---|
| AA | 6 | 0.0% | 100.0% |
| AKs | 3 | 0.1% | 99.9% |
| AQs | 4 | 98.4% | 1.6% |
| AJs | 4 | 89.2% | 10.8% |
| ATs | 4 | 91.1% | 8.9% |
| A9s | 4 | 80.8% | 19.2% |
| A8s | 4 | 53.6% | 46.4% |
| A7s | 3 | 16.3% | 83.7% |
| A6s | 3 | 96.3% | 3.7% |
| A5s | 4 | 43.7% | 56.3% |
| A4s | 4 | 27.2% | 72.8% |
| A3s | 4 | 46.4% | 53.6% |
| A2s | 4 | 40.9% | 59.1% |
| AKo | 8.998 | 1.6% | 98.4% |
| KK | 3 | 67.7% | 32.3% |
| KQs | 3 | 1.1% | 98.9% |
| KJs | 3 | 11.4% | 88.6% |
| KTs | 3 | 28.6% | 71.4% |
| K9s | 3 | 16.9% | 83.1% |
| K8s | 3 | 50.6% | 49.4% |
| K7s | 2 | 0.0% | 100.0% |
| K6s | 2 | 5.1% | 94.9% |
| K5s | 3 | 85.5% | 14.5% |
| K4s | 3 | 90.8% | 9.2% |
| K3s | 3 | 95.9% | 4.1% |
| K2s | 0.781 | 99.7% | 0.3% |
| AQo | 12 | 97.5% | 2.5% |
| KQo | 9 | 4.8% | 95.2% |
| 6 | 100.0% | 0.0% | |
| QJs | 4 | 48.2% | 51.8% |
| QTs | 4 | 51.1% | 48.9% |
| Q9s | 4 | 32.6% | 67.4% |
| Q8s | 4 | 56.7% | 43.3% |
| Q7s | 3 | 53.7% | 46.3% |
| Q6s | 3 | 78.7% | 21.3% |
| Q5s | 4 | 47.9% | 52.1% |
| Q4s | 3.523 | 59.1% | 40.9% |
| AJo | 12 | 81.6% | 18.4% |
| KJo | 9 | 37.9% | 62.1% |
| QJo | 12 | 66.6% | 33.4% |
| JJ | 6 | 99.9% | 0.1% |
| JTs | 4 | 41.6% | 58.4% |
| J9s | 4 | 25.3% | 74.7% |
| J8s | 4 | 32.3% | 67.7% |
| J7s | 3 | 67.2% | 32.8% |
| J6s | 0.474 | 39.3% | 60.7% |
| ATo | 12 | 47.7% | 52.3% |
| KTo | 9 | 32.9% | 67.1% |
| QTo | 12 | 44.8% | 55.2% |
| JTo | 12 | 44.3% | 55.7% |
| TT | 5.999 | 91.7% | 8.3% |
| T9s | 4 | 4.8% | 95.2% |
| T8s | 4 | 37.8% | 62.2% |
| T7s | 3 | 94.6% | 5.4% |
| T6s | 1.749 | 84.3% | 15.7% |
| A9o | 12 | 49.3% | 50.7% |
| K9o | 9 | 39.8% | 60.2% |
| Q9o | 0.504 | 34.2% | 65.8% |
| J9o | 2.945 | 26.4% | 73.6% |
| T9o | 12 | 37.4% | 62.6% |
| 99 | 6 | 72.9% | 27.1% |
| 98s | 4 | 19.9% | 80.1% |
| 97s | 3 | 70.1% | 29.9% |
| 96s | 3 | 86.6% | 13.4% |
| A8o | 12 | 37.5% | 62.5% |
| 98o | 2.063 | 71.0% | 29.0% |
| 88 | 6 | 63.4% | 36.6% |
| 87s | 3 | 86.1% | 13.9% |
| 86s | 3 | 93.9% | 6.1% |
| 85s | 0.7 | 94.9% | 5.1% |
| A7o | 6.907 | 20.5% | 79.5% |
| 77 | 3 | 4.8% | 95.2% |
| 76s | 2 | 9.6% | 90.4% |
| 75s | 3 | 68.0% | 32.0% |
| 66 | 3 | 7.0% | 93.0% |
| 65s | 3 | 57.3% | 42.7% |
| 64s | 1.437 | 55.5% | 44.5% |
| A5o | 10.226 | 15.3% | 84.7% |
| 55 | 6 | 100.0% | 0.0% |
| 54s | 4 | 27.4% | 72.6% |
| 44 | 6 | 99.9% | 0.1% |
| 33 | 6 | 99.2% | 0.8% |
| 22 | 6 | 83.0% | 17.0% |
What each action is worth with Q♥7♥
| Action | How often | Expected value |
|---|---|---|
| Check | 45.95% | 3.355 bb |
| Bet pot (5.2 bb) | 54.05% | 3.345 bb |
Ranges, pot and stacks
- The hand so far: 4-handed tournament, 50 big blinds · Hijack opens to 2.1 bb, big blind calls · Flop K♠ 6♣ 7♦: big blind checks · Pot 5.2 bb · Hijack to act, 47.9 bb behind
- Pot at this decision, including the bets in front: 5.2 bb
- The hijack: 47.9 bb behind
- The big blind: 47.9 bb behind
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA 100 % | AKs 100 % | AQs 100 % | AJs 100 % | ATs 100 % | A9s 100 % | A8s 100 % | A7s 100 % | A6s 100 % | A5s 100 % | A4s 100 % | A3s 100 % | A2s 100 % |
| K | AKo 100 % | KK 100 % | KQs 100 % | KJs 100 % | KTs 100 % | K9s 100 % | K8s 100 % | K7s 100 % | K6s 100 % | K5s 100 % | K4s 100 % | K3s 100 % | K2s 26 % |
| Q | AQo 100 % | KQo 100 % | QQ 100 % | QJs 100 % | QTs 100 % | Q9s 100 % | Q8s 100 % | Q7s 100 % | Q6s 100 % | Q5s 100 % | Q4s 88 % | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo 100 % | KJo 100 % | QJo 100 % | JJ 100 % | JTs 100 % | J9s 100 % | J8s 100 % | J7s 100 % | J6s 16 % | J5s Not in this range here | J4s Not in this range here | J3s Not in this range here | J2s Not in this range here |
| T | ATo 100 % | KTo 100 % | QTo 100 % | JTo 100 % | TT 100 % | T9s 100 % | T8s 100 % | T7s 100 % | T6s 58 % | T5s Not in this range here | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o 100 % | K9o 100 % | Q9o 4 % | J9o 25 % | T9o 100 % | 99 100 % | 98s 100 % | 97s 100 % | 96s 100 % | 95s Not in this range here | 94s Not in this range here | 93s Not in this range here | 92s Not in this range here |
| 8 | A8o 100 % | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o Not in this range here | 98o 17 % | 88 100 % | 87s 100 % | 86s 100 % | 85s 18 % | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o 77 % | K7o Not in this range here | Q7o Not in this range here | J7o Not in this range here | T7o Not in this range here | 97o Not in this range here | 87o Not in this range here | 77 100 % | 76s 100 % | 75s 100 % | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o Not in this range here | K6o Not in this range here | Q6o Not in this range here | J6o Not in this range here | T6o Not in this range here | 96o Not in this range here | 86o Not in this range here | 76o Not in this range here | 66 100 % | 65s 100 % | 64s 48 % | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o 85 % | K5o Not in this range here | Q5o Not in this range here | J5o Not in this range here | T5o Not in this range here | 95o Not in this range here | 85o Not in this range here | 75o Not in this range here | 65o Not in this range here | 55 100 % | 54s 100 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o Not in this range here | K4o Not in this range here | Q4o Not in this range here | J4o Not in this range here | T4o Not in this range here | 94o Not in this range here | 84o Not in this range here | 74o Not in this range here | 64o Not in this range here | 54o Not in this range here | 44 100 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o Not in this range here | K3o Not in this range here | Q3o Not in this range here | J3o Not in this range here | T3o Not in this range here | 93o Not in this range here | 83o Not in this range here | 73o Not in this range here | 63o Not in this range here | 53o Not in this range here | 43o Not in this range here | 33 100 % | 32s Not in this range here |
| 2 | A2o Not in this range here | K2o Not in this range here | Q2o Not in this range here | J2o Not in this range here | T2o Not in this range here | 92o Not in this range here | 82o Not in this range here | 72o Not in this range here | 62o Not in this range here | 52o Not in this range here | 42o Not in this range here | 32o Not in this range here | 22 100 % |
Each cell shows the share of the class's possible combos in the range.
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA Not in this range here | AKs Not in this range here | AQs Not in this range here | AJs 100 % | ATs 100 % | A9s 100 % | A8s 100 % | A7s 100 % | A6s 100 % | A5s 100 % | A4s 100 % | A3s 100 % | A2s 100 % |
| K | AKo Not in this range here | KK Not in this range here | KQs 100 % | KJs 100 % | KTs 100 % | K9s 100 % | K8s 100 % | K7s 100 % | K6s 100 % | K5s 99 % | K4s 100 % | K3s 100 % | K2s 100 % |
| Q | AQo 2 % | KQo 64 % | QQ Not in this range here | QJs 100 % | QTs 100 % | Q9s 100 % | Q8s 100 % | Q7s 100 % | Q6s 100 % | Q5s 100 % | Q4s 100 % | Q3s 100 % | Q2s 100 % |
| J | AJo 42 % | KJo 85 % | QJo 100 % | JJ Not in this range here | JTs 90 % | J9s 100 % | J8s 53 % | J7s 100 % | J6s 100 % | J5s 100 % | J4s 100 % | J3s 100 % | J2s 100 % |
| T | ATo 100 % | KTo 81 % | QTo 76 % | JTo 60 % | TT Not in this range here | T9s 57 % | T8s 87 % | T7s 58 % | T6s 100 % | T5s 100 % | T4s 100 % | T3s 100 % | T2s 100 % |
| 9 | A9o 81 % | K9o 59 % | Q9o 87 % | J9o 100 % | T9o 78 % | 99 6 % | 98s 85 % | 97s 100 % | 96s 91 % | 95s 100 % | 94s 100 % | 93s 100 % | 92s 100 % |
| 8 | A8o 73 % | K8o 98 % | Q8o 100 % | J8o 97 % | T8o 75 % | 98o 93 % | 88 80 % | 87s 67 % | 86s 86 % | 85s 100 % | 84s 100 % | 83s 100 % | 82s 100 % |
| 7 | A7o 81 % | K7o 99 % | Q7o 100 % | J7o 100 % | T7o 100 % | 97o 100 % | 87o 100 % | 77 92 % | 76s 55 % | 75s 100 % | 74s 100 % | 73s 100 % | 72s 100 % |
| 6 | A6o 93 % | K6o 75 % | Q6o 100 % | J6o 18 % | T6o Not in this range here | 96o 100 % | 86o 100 % | 76o 93 % | 66 100 % | 65s 83 % | 64s 100 % | 63s 100 % | 62s 100 % |
| 5 | A5o 41 % | K5o 96 % | Q5o 100 % | J5o Not in this range here | T5o Not in this range here | 95o Not in this range here | 85o 100 % | 75o 100 % | 65o 100 % | 55 100 % | 54s 67 % | 53s 100 % | 52s 100 % |
| 4 | A4o 71 % | K4o 100 % | Q4o 100 % | J4o Not in this range here | T4o Not in this range here | 94o Not in this range here | 84o Not in this range here | 74o Not in this range here | 64o 100 % | 54o 100 % | 44 100 % | 43s 100 % | 42s 100 % |
| 3 | A3o 100 % | K3o 100 % | Q3o <1 % | J3o Not in this range here | T3o Not in this range here | 93o Not in this range here | 83o Not in this range here | 73o Not in this range here | 63o Not in this range here | 53o 100 % | 43o 100 % | 33 100 % | 32s 100 % |
| 2 | A2o 100 % | K2o 100 % | Q2o Not in this range here | J2o Not in this range here | T2o Not in this range here | 92o Not in this range here | 82o Not in this range here | 72o Not in this range here | 62o Not in this range here | 52o Not in this range here | 42o Not in this range here | 32o Not in this range here | 22 100 % |
Each cell shows the share of the class's possible combos in the range.
Where the numbers come from
The numbers come from a commercial solver: a custom solve of this flop, started from its precomputed solution for a 4-handed tournament at 50 big blinds with antes, in chips, with no payout effects. The hijack is the first seat to act at this four-handed table; searches for this hand call it the hijack. The hijack's and the big blind's ranges, the pot and the stacks all come from that preflop solution. The solver chose one bet size per player for this board, the size of the pot for the hijack. This is a modeled spot, not a reconstruction of any particular hand. Two players see the flop; other stack depths, payout effects and bet sizes aren't covered. Poker Skill read the numbers and wrote the explanation.
- Line to this decision
-
R2.1-F-F-C·flop X - Solver notation
-
Ks6c7d·Qh7h. F fold, X check, C call, R2.5 a bet or raise to 2.5 bb, RAI all-in.
Solution read Oct 1, 2026. Each hand-class row is the solver's own total for that class. Ranges are shown by class: how many combos of each class are in the range, and what share that is of the combos the board leaves possible.