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.
- 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.