Solver answer
Q♦Q♣ on 5♥ 6♥ 7♥: bet or check?
6-max cash, 100 big blinds · Button opens, big blind calls · Flop 5♥ 6♥ 7♥ · Big blind checks · Button to act
Updated
The solver's answer
Check 96% Bet 4%
Q♦Q♣ almost always checks, and a third of the pot is the only bet this solution offers.
5♥6♥7♥
Q♦Q♣ You
- Pot
- 5.5 bb
- Behind
- 97.5 bb
- Big blind
- Checks
In a 6-max cash game at 100 big blinds, after the button opens to 2.5 bb and the big blind calls, then checks a 5♥ 6♥ 7♥ flop, the button checks Q♦Q♣ 96% of the time and bets it for a third of the pot (1.8 bb) 4%, according to a solver answer published free by Poker Skill.
Why the button checks Q♦Q♣ on an all-heart flop
- The big blind's range is a little ahead on this low all-heart flop: 51% equity to the button's 49%. The button checks 70% of its range.
- Q♦Q♣ holds no heart. A fourth heart would give a flush to every hand with one heart, and the queens would still have none. Checking is worth 2.60 bb to them and betting 2.56 bb.
- Queens that hold the Q♥ have a flush draw and bet 22% of the time, against 4% for Q♦Q♣. Made flushes bet 46%.
Poker Skill's free app has Practice vs AI, where you play full heads-up hands against an AI opponent, with Coach Max grading each decision. Play a heads-up hand vs AI
The full strategy, hand by hand
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA X 89 % | AKs X 92 % | AQs X 81 % | AJs X 70 % | ATs X 56 % | A9s X 68 % | A8s X 84 % | A7s X 69 % | A6s X 71 % | A5s X 74 % | A4s X 86 % | A3s X 64 % | A2s B 81 % |
| K | AKo X 96 % | KK X 82 % | KQs X 93 % | KJs X 60 % | KTs X 62 % | K9s X 64 % | K8s X 77 % | K7s X 77 % | K6s X 76 % | K5s X 86 % | K4s B 53 % | K3s B 60 % | K2s B 85 % |
| Q | AQo X 93 % | KQo X 73 % | QQ X 87 % | QJs X 53 % | QTs X 54 % | Q9s X 59 % | Q8s X 74 % | Q7s X 73 % | Q6s X 94 % | Q5s X 82 % | Q4s B 51 % | Q3s X 52 % | Q2s B 82 % |
| J | AJo X 87 % | KJo X 67 % | QJo X 52 % | JJ X 77 % | JTs X 70 % | J9s X 59 % | J8s X 79 % | J7s X 89 % | J6s X 95 % | J5s X 89 % | J4s Not in this range here | J3s Not in this range here | J2s Not in this range here |
| T | ATo X 67 % | KTo X 72 % | QTo X 57 % | JTo X 70 % | TT X 69 % | T9s X 91 % | T8s B 70 % | T7s X 98 % | T6s X 100 % | 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 X 67 % | K9o X 64 % | Q9o X 79 % | J9o X 63 % | T9o X 76 % | 99 X 61 % | 98s X 75 % | 97s X 79 % | 96s Not in this range here | 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 X 84 % | K8o X 53 % | Q8o Not in this range here | J8o Not in this range here | T8o B 72 % | 98o Not in this range here | 88 X 72 % | 87s X 99 % | 86s X 100 % | 85s Not in this range here | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o B 63 % | K7o X 62 % | 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 67 % | 76s B 53 % | 75s X 87 % | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o X 58 % | 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 X 54 % | 65s X 80 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o X 73 % | 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 78 % | 54s X 71 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o X 70 % | 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 66 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o X 70 % | 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 B 65 % | 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 74 % |
- Check: 70.28% of the range (348.61 combos)
- Bet ⅓ pot (1.8 bb): 29.72% of the range (147.4 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 ⅓ pot (1.8 bb) |
|---|---|---|---|
| AA | 5.998 | 89.4% | 10.6% |
| AKs | 4 | 91.5% | 8.5% |
| AQs | 4 | 80.5% | 19.5% |
| AJs | 4 | 70.1% | 29.9% |
| ATs | 4 | 56.5% | 43.5% |
| A9s | 4 | 67.6% | 32.4% |
| A8s | 4 | 83.9% | 16.1% |
| A7s | 3 | 68.7% | 31.3% |
| A6s | 3 | 70.7% | 29.3% |
| A5s | 3 | 74.4% | 25.6% |
| A4s | 4 | 85.9% | 14.1% |
| A3s | 4 | 63.9% | 36.1% |
| A2s | 4 | 18.7% | 81.3% |
| AKo | 12 | 96.2% | 3.8% |
| KK | 6 | 82.4% | 17.6% |
| KQs | 4 | 93.1% | 6.9% |
| KJs | 4 | 59.9% | 40.1% |
| KTs | 4 | 62.1% | 37.9% |
| K9s | 4 | 63.6% | 36.4% |
| K8s | 4 | 77.3% | 22.7% |
| K7s | 3 | 76.5% | 23.5% |
| K6s | 3 | 76.4% | 23.6% |
| K5s | 3 | 85.7% | 14.3% |
| K4s | 4 | 46.8% | 53.2% |
| K3s | 4 | 39.6% | 60.4% |
| K2s | 4 | 14.6% | 85.4% |
| AQo | 12 | 92.5% | 7.5% |
| KQo | 12 | 73.4% | 26.6% |
| 6 | 86.8% | 13.2% | |
| QJs | 4 | 53.4% | 46.6% |
| QTs | 4 | 54.3% | 45.7% |
| Q9s | 4 | 59.3% | 40.7% |
| Q8s | 4 | 74.1% | 25.9% |
| Q7s | 3 | 73.0% | 27.0% |
| Q6s | 3 | 93.5% | 6.5% |
| Q5s | 3 | 81.8% | 18.2% |
| Q4s | 4 | 49.5% | 50.5% |
| Q3s | 2.806 | 51.8% | 48.2% |
| Q2s | 0.001 | 17.6% | 82.4% |
| AJo | 12 | 86.5% | 13.5% |
| KJo | 12 | 67.2% | 32.8% |
| QJo | 12 | 52.1% | 47.9% |
| JJ | 6 | 76.5% | 23.5% |
| JTs | 4 | 69.9% | 30.1% |
| J9s | 4 | 58.8% | 41.2% |
| J8s | 4 | 79.1% | 20.9% |
| J7s | 3 | 89.0% | 11.0% |
| J6s | 2.989 | 94.6% | 5.4% |
| J5s | 3 | 88.6% | 11.4% |
| ATo | 12 | 67.0% | 33.0% |
| KTo | 12 | 72.2% | 27.8% |
| QTo | 12 | 57.5% | 42.5% |
| JTo | 12 | 70.4% | 29.6% |
| TT | 6 | 68.5% | 31.5% |
| T9s | 4 | 90.7% | 9.3% |
| T8s | 4 | 29.7% | 70.3% |
| T7s | 3 | 97.8% | 2.2% |
| T6s | 2.918 | 99.6% | 0.4% |
| A9o | 12 | 67.3% | 32.7% |
| K9o | 12 | 63.9% | 36.1% |
| Q9o | 12 | 79.4% | 20.6% |
| J9o | 11.999 | 63.2% | 36.8% |
| T9o | 12 | 76.1% | 23.9% |
| 99 | 6 | 61.2% | 38.8% |
| 98s | 4 | 74.8% | 25.2% |
| 97s | 3 | 78.6% | 21.4% |
| A8o | 12 | 83.8% | 16.2% |
| K8o | 11.477 | 52.5% | 47.5% |
| T8o | 0.943 | 28.4% | 71.6% |
| 88 | 6 | 71.7% | 28.3% |
| 87s | 3 | 98.5% | 1.5% |
| 86s | 2.848 | 99.7% | 0.3% |
| A7o | 9 | 37.1% | 62.9% |
| K7o | 1.997 | 62.3% | 37.7% |
| 77 | 3 | 33.4% | 66.6% |
| 76s | 3 | 47.0% | 53.0% |
| 75s | 0.025 | 86.7% | 13.3% |
| A6o | 9 | 58.1% | 41.9% |
| 66 | 3 | 53.6% | 46.4% |
| 65s | 2.998 | 79.8% | 20.2% |
| A5o | 9 | 72.8% | 27.2% |
| 55 | 3 | 77.6% | 22.4% |
| 54s | 1.467 | 71.2% | 28.8% |
| A4o | 12 | 70.0% | 30.0% |
| 44 | 6 | 66.1% | 33.9% |
| A3o | 12 | 70.1% | 29.9% |
| 33 | 6 | 99.2% | 0.8% |
| A2o | 0.784 | 34.6% | 65.4% |
| 22 | 1.763 | 74.1% | 25.9% |
What each action is worth with Q♦Q♣
| Action | How often | Expected value |
|---|---|---|
| Check | 95.62% | 2.595 bb |
| Bet ⅓ pot (1.8 bb) | 4.38% | 2.564 bb |
Ranges, pot and stacks
- The hand so far: 6-max cash, 100 big blinds · Button opens to 2.5 bb, big blind calls · Flop 5♥ 6♥ 7♥: big blind checks · Pot 5.5 bb · Button to act, 97.5 bb behind
- Pot at this decision, including the bets in front: 5.5 bb
- The button: 97.5 bb behind
- The big blind: 97.5 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 100 % |
| Q | AQo 100 % | KQo 100 % | QQ 100 % | QJs 100 % | QTs 100 % | Q9s 100 % | Q8s 100 % | Q7s 100 % | Q6s 100 % | Q5s 100 % | Q4s 100 % | Q3s 70 % | Q2s <1 % |
| J | AJo 100 % | KJo 100 % | QJo 100 % | JJ 100 % | JTs 100 % | J9s 100 % | J8s 100 % | J7s 100 % | J6s 100 % | J5s 100 % | 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 97 % | 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 100 % | J9o 100 % | T9o 100 % | 99 100 % | 98s 100 % | 97s 100 % | 96s Not in this range here | 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 96 % | Q8o Not in this range here | J8o Not in this range here | T8o 8 % | 98o Not in this range here | 88 100 % | 87s 100 % | 86s 95 % | 85s Not in this range here | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o 100 % | K7o 22 % | 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 1 % | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o 100 % | 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 Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o 100 % | 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 49 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o 100 % | 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 100 % | 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 7 % | 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 29 % |
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 97 % | ATs 97 % | A9s 100 % | A8s 100 % | A7s 100 % | A6s 100 % | A5s 98 % | A4s 98 % | A3s 99 % | A2s 98 % |
| K | AKo Not in this range here | KK Not in this range here | KQs <1 % | KJs 88 % | KTs 100 % | K9s 99 % | K8s 98 % | K7s 100 % | K6s 99 % | K5s 87 % | K4s 82 % | K3s 56 % | K2s <1 % |
| Q | AQo 30 % | KQo 100 % | QQ Not in this range here | QJs 100 % | QTs 100 % | Q9s 98 % | Q8s 73 % | Q7s 76 % | Q6s 75 % | Q5s 16 % | Q4s 92 % | Q3s 46 % | Q2s 4 % |
| J | AJo 99 % | KJo 33 % | QJo 53 % | JJ Not in this range here | JTs 99 % | J9s 98 % | J8s 90 % | J7s 83 % | J6s 39 % | J5s 41 % | J4s 10 % | J3s Not in this range here | J2s Not in this range here |
| T | ATo 91 % | KTo 40 % | QTo 46 % | JTo 65 % | TT Not in this range here | T9s 93 % | T8s 99 % | T7s 100 % | T6s 41 % | 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 99 % | K9o 76 % | Q9o 30 % | J9o 11 % | T9o 34 % | 99 90 % | 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 84 % | 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 Not in this range here | 88 99 % | 87s 99 % | 86s 100 % | 85s 100 % | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o 54 % | 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 91 % | 76s 97 % | 75s 99 % | 74s 71 % | 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 84 % | 65s 99 % | 64s 100 % | 63s 1 % | 62s Not in this range here |
| 5 | A5o 26 % | 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 58 % | 54s 99 % | 53s 98 % | 52s 4 % |
| 4 | A4o 1 % | 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 94 % | 43s 98 % | 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 98 % | 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 94 % |
Each cell shows the share of the class's possible combos in the range.