Solver answer
Bluff the river with the A♥ when the flush comes in?
6-max cash, 100 big blinds · Button opens, big blind calls · River 9♥ 5♥ 2♠ K♣ 3♥ · Big blind checks · Button to act
Updated
The solver's answer
A♥6♣ and A♣6♠, standing in for A♥Q♣.
A♥6♣
Bet 100%
- ⅒ pot · 3.5 bb 0%
- 0.35 pot · 12 bb 0%
- 0.6 pot · 20.5 bb 0%
- 0.84 pot · 29 bb <1%
- 1½ pot · 51.5 bb 62%
- All-in · 83.1 bb 38%
A♣6♠
Check 100%
- ⅒ pot · 3.5 bb 0%
- 0.35 pot · 12 bb 0%
- 0.6 pot · 20.5 bb 0%
- 0.84 pot · 29 bb 0%
- 1½ pot · 51.5 bb 0%
- All-in · 83.1 bb 0%
The same ace-high hand bluffs with the A♥ and checks without it.
A♥Q♣ reaches this river only rarely in this solution, because the button usually checks it on the flop. Two ace-high hands that do reach it stand in, one with the A♥ and one without: A♥6♣ and A♣6♠.
9♥5♥2♠K♣3♥
A♥6♣ Stand-in
A♣6♠ Stand-in
- Pot
- 34.3 bb
- Behind
- 83.1 bb
- Big blind
- Checks
In a 6-max cash game at 100 big blinds, after the big blind calls the button's 4.1 bb flop c-bet on 9♥ 5♥ 2♠ and 10.3 bb turn bet on the K♣, then checks the 3♥ river, the button bets A♥6♣ 100% of the time and checks A♣6♠ 100%, according to a solver answer published free by Poker Skill.
Why the A♥ turns ace-high into a bluff
- The 3♥ is the third heart, so the big blind can hold a flush. A hand with the A♥ blocks the best flushes: no opponent can hold the ace-high flush.
- Betting 1½ times the pot is worth 4.07 bb to A♥6♣, and checking nothing. A♣6♠ loses by betting any size (-0.16 bb for a 20.5 bb bet), so it checks.
- A♣6♥, with a small heart, bets 75% of the time: any heart removes some of the big blind's flushes, and the ace removes the best ones.
- A blocker alone doesn't make a bluff good; it helps choose between hands that are otherwise alike.
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 76 % | AKs B 60 % | AQs B 100 % | AJs B 100 % | ATs B 99 % | A9s X 100 % | A8s B 100 % | A7s B 85 % | A6s X 87 % | A5s X 90 % | A4s B 100 % | A3s X 100 % | A2s B 100 % |
| K | AKo X 82 % | KK B 100 % | KQs X 53 % | KJs B 92 % | KTs B 82 % | K9s X 99 % | K8s B 76 % | K7s B 54 % | K6s X 53 % | K5s X 100 % | K4s B 55 % | K3s X 100 % | K2s B 84 % |
| Q | AQo B 83 % | KQo X 100 % | QQ X 100 % | QJs X 50 % | QTs B 54 % | Q9s X 100 % | Q8s X 66 % | Q7s B 66 % | Q6s B 54 % | Q5s B 57 % | Q4s B 65 % | Q3s X 100 % | Q2s B 100 % |
| J | AJo B 73 % | KJo X 100 % | QJo B 68 % | JJ X 100 % | JTs X 63 % | J9s X 100 % | J8s X 75 % | J7s X 60 % | J6s X 73 % | J5s X 58 % | J4s X 64 % | J3s X 100 % | J2s Not in this range here |
| T | ATo B 81 % | KTo X 100 % | QTo X 60 % | JTo X 80 % | TT X 100 % | T9s Not in this range here | T8s X 68 % | T7s X 65 % | T6s X 83 % | 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 100 % | K9o X 51 % | Q9o X 100 % | J9o X 100 % | T9o Not in this range here | 99 X 100 % | 98s Not in this range here | 97s Not in this range here | 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 B 87 % | K8o X 100 % | Q8o Not in this range here | J8o B 86 % | T8o B 64 % | 98o Not in this range here | 88 Not in this range here | 87s B 100 % | 86s B 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 57 % | K7o X 100 % | 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 Not in this range here | 76s B 100 % | 75s Not in this range here | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o B 53 % | 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 Not in this range here | 65s Not in this range here | 64s B 100 % | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o X 51 % | 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 B 82 % | 54s B 96 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o B 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 Not in this range here | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o B 93 % | 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 Not in this range here | 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 B 100 % |
- Check: 62.41% of the range (24.72 combos)
- Bet ⅒ pot (3.5 bb): 0.00% of the range (0 combos)
- Bet 0.35 pot (12 bb): 0.03% of the range (0.01 combos)
- Bet 0.6 pot (20.5 bb): 10.26% of the range (4.07 combos)
- Bet 0.84 pot (29 bb): 14.95% of the range (5.92 combos)
- Bet 1½ pot (51.5 bb): 11.14% of the range (4.41 combos)
- All-in (83.1 bb): 1.21% of the range (0.48 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 ⅒ pot (3.5 bb) | Bet 0.35 pot (12 bb) | Bet 0.6 pot (20.5 bb) | Bet 0.84 pot (29 bb) | Bet 1½ pot (51.5 bb) | All-in (83.1 bb) |
|---|---|---|---|---|---|---|---|---|
| AA | 0.648 | 75.8% | 0.0% | 0.5% | 23.2% | 0.0% | 0.0% | 0.4% |
| AKs | 0.128 | 40.1% | 0.0% | 0.5% | 52.6% | 0.1% | 2.0% | 4.6% |
| AQs | 0.07 | 0.1% | 0.0% | 0.6% | 0.0% | 0.0% | 81.3% | 18.1% |
| AJs | 0.087 | 0.0% | 0.0% | 0.7% | 0.2% | 0.1% | 92.8% | 6.1% |
| ATs | 0.146 | 1.3% | 0.0% | 0.1% | 0.0% | 0.1% | 92.6% | 5.9% |
| A9s | 0.82 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A8s | 0.035 | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 99.9% |
| A7s | 0.078 | 14.9% | 0.0% | 0.0% | 0.4% | 0.0% | 0.0% | 84.6% |
| A6s | 0.299 | 87.1% | 0.0% | 0.0% | 2.0% | 0.2% | 0.0% | 10.7% |
| A5s | 0.024 | 89.5% | 0.0% | 0.0% | 5.2% | 5.2% | 0.0% | 0.0% |
| A4s | 0.715 | 0.0% | 0.0% | 0.0% | 3.3% | 62.9% | 33.1% | 0.8% |
| A3s | 0.096 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A2s | 0.163 | 0.1% | 0.0% | 0.0% | 0.7% | 0.2% | 36.0% | 63.0% |
| AKo | 0.376 | 81.8% | 0.0% | 0.1% | 18.1% | 0.0% | 0.0% | 0.0% |
| KK | 0.458 | 0.0% | 0.0% | 0.1% | 85.9% | 14.1% | 0.0% | 0.0% |
| KQs | 0.165 | 52.8% | 0.0% | 0.0% | 43.4% | 3.2% | 0.7% | 0.0% |
| KJs | 0.206 | 7.9% | 0.0% | 0.0% | 54.6% | 37.5% | 0.0% | 0.0% |
| KTs | 0.316 | 18.2% | 0.0% | 0.0% | 50.9% | 31.0% | 0.0% | 0.0% |
| K9s | 0.519 | 99.1% | 0.0% | 0.0% | 0.0% | 0.9% | 0.0% | 0.0% |
| K8s | 0.297 | 24.3% | 0.0% | 0.0% | 35.3% | 40.4% | 0.0% | 0.0% |
| K7s | 0.406 | 46.1% | 0.0% | 0.0% | 5.0% | 0.8% | 47.7% | 0.3% |
| K6s | 0.453 | 53.2% | 0.0% | 0.0% | 0.2% | 30.2% | 16.4% | 0.0% |
| K5s | 0.465 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| K4s | 0.366 | 44.6% | 0.0% | 0.0% | 25.3% | 30.1% | 0.0% | 0.0% |
| K3s | 0.209 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| K2s | 0.297 | 15.7% | 0.0% | 0.0% | 40.7% | 43.6% | 0.0% | 0.0% |
| AQo | 0.028 | 17.4% | 0.0% | 0.2% | 2.5% | 4.4% | 75.1% | 0.3% |
| KQo | 0.551 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 0.872 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | |
| QJs | 0.364 | 50.3% | 0.0% | 0.0% | 2.2% | 8.2% | 39.3% | 0.0% |
| QTs | 0.491 | 46.3% | 0.0% | 0.0% | 0.2% | 9.4% | 44.1% | 0.0% |
| Q9s | 0.162 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| Q8s | 0.285 | 66.0% | 0.0% | 0.0% | 0.4% | 17.0% | 16.7% | 0.0% |
| Q7s | 0.271 | 34.4% | 0.0% | 0.0% | 21.2% | 5.8% | 38.3% | 0.2% |
| Q6s | 0.415 | 45.8% | 0.0% | 0.0% | 17.3% | 12.0% | 24.9% | 0.0% |
| Q5s | 0.002 | 42.5% | 0.0% | 0.0% | 34.6% | 22.9% | 0.0% | 0.0% |
| Q4s | 0.463 | 35.3% | 0.0% | 0.0% | 14.8% | 49.9% | 0.1% | 0.0% |
| Q3s | 0.366 | 99.9% | 0.0% | 0.0% | 0.0% | 0.1% | 0.0% | 0.0% |
| Q2s | 0.005 | 0.0% | 0.0% | 0.0% | 8.3% | 72.5% | 19.2% | 0.0% |
| AJo | 0.019 | 27.5% | 0.0% | 2.6% | 0.0% | 9.3% | 60.5% | 0.1% |
| KJo | 1.027 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| QJo | 1.037 | 31.7% | 0.0% | 0.0% | 3.0% | 21.3% | 43.7% | 0.3% |
| JJ | 1.473 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| JTs | 0.786 | 62.8% | 0.0% | 0.0% | 2.7% | 14.5% | 20.0% | 0.0% |
| J9s | 0.002 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| J8s | 0.235 | 74.8% | 0.0% | 0.0% | 0.4% | 16.6% | 8.1% | 0.0% |
| J7s | 0.461 | 59.6% | 0.0% | 0.0% | 19.8% | 3.7% | 16.1% | 0.8% |
| J6s | 0.376 | 72.6% | 0.0% | 0.0% | 10.0% | 5.5% | 11.9% | 0.0% |
| J5s | 0.003 | 57.8% | 0.0% | 0.0% | 40.0% | 2.2% | 0.0% | 0.0% |
| J4s | 0.478 | 63.6% | 0.0% | 0.0% | 13.1% | 23.2% | 0.0% | 0.0% |
| J3s | 0.122 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| ATo | 0.095 | 18.9% | 0.0% | 0.0% | 0.0% | 0.0% | 71.4% | 9.7% |
| KTo | 1.207 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| QTo | 1.379 | 59.9% | 0.0% | 0.0% | 4.7% | 8.8% | 26.4% | 0.1% |
| JTo | 1.375 | 80.1% | 0.0% | 0.0% | 0.1% | 7.6% | 12.2% | 0.0% |
| TT | 1.57 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| T8s | 0.329 | 67.6% | 0.0% | 0.0% | 1.8% | 30.3% | 0.3% | 0.0% |
| T7s | 0.354 | 65.2% | 0.0% | 0.0% | 3.9% | 1.2% | 29.7% | 0.0% |
| T6s | 0.486 | 82.7% | 0.0% | 0.0% | 3.6% | 0.4% | 13.4% | 0.0% |
| A9o | 2.228 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| K9o | 1.783 | 50.5% | 0.0% | 0.1% | 36.3% | 13.1% | 0.0% | 0.0% |
| Q9o | 0.269 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| J9o | 0.002 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 99 | 0.649 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A8o | 0.088 | 12.6% | 0.0% | 0.7% | 4.2% | 29.5% | 51.3% | 1.6% |
| K8o | 1.159 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| J8o | 0.339 | 14.4% | 0.0% | 0.0% | 41.5% | 32.8% | 11.3% | 0.0% |
| T8o | 1.245 | 35.9% | 0.0% | 0.0% | 17.8% | 32.1% | 14.2% | 0.0% |
| 87s | 0.249 | 0.0% | 0.0% | 0.0% | 0.6% | 13.3% | 86.1% | 0.0% |
| 86s | 0.21 | 0.0% | 0.0% | 0.0% | 0.0% | 23.8% | 76.2% | 0.0% |
| A7o | 0.858 | 42.7% | 0.0% | 0.0% | 9.3% | 31.3% | 11.1% | 5.6% |
| K7o | 0.463 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 76s | 0.16 | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 98.7% | 1.3% |
| A6o | 1.73 | 47.4% | 0.0% | 0.0% | 9.1% | 23.6% | 12.3% | 7.7% |
| 64s | 0.139 | 0.0% | 0.0% | 0.0% | 0.1% | 56.2% | 43.7% | 0.0% |
| A5o | 0.113 | 51.2% | 0.0% | 0.0% | 13.5% | 35.0% | 0.3% | 0.0% |
| 55 | 0.66 | 17.7% | 0.0% | 0.1% | 57.3% | 24.9% | 0.0% | 0.0% |
| 54s | 0.05 | 4.0% | 0.0% | 0.0% | 0.2% | 95.8% | 0.0% | 0.0% |
| A4o | 1.464 | 0.0% | 0.0% | 0.0% | 13.2% | 70.7% | 16.1% | 0.0% |
| A3o | 0.006 | 7.0% | 0.0% | 0.0% | 0.0% | 0.0% | 93.0% | 0.0% |
| 22 | 0.82 | 0.0% | 0.0% | 0.0% | 33.4% | 66.6% | 0.0% | 0.0% |
What each action is worth with A♥6♣
| Action | How often | Expected value |
|---|---|---|
| Check | 0.00% | 0 bb |
| Bet ⅒ pot (3.5 bb) | 0.00% | -2.028 bb |
| Bet 0.35 pot (12 bb) | 0.00% | 0.861 bb |
| Bet 0.6 pot (20.5 bb) | 0.00% | 2.898 bb |
| Bet 0.84 pot (29 bb) | 0.06% | 3.985 bb |
| Bet 1½ pot (51.5 bb) | 61.75% | 4.067 bb |
| All-in (83.1 bb) | 38.20% | 4.054 bb |
What each action is worth with A♣6♠
| Action | How often | Expected value |
|---|---|---|
| Check | 100.00% | 0 bb |
| Bet ⅒ pot (3.5 bb) | 0.00% | -2.148 bb |
| Bet 0.35 pot (12 bb) | 0.00% | -0.546 bb |
| Bet 0.6 pot (20.5 bb) | 0.00% | -0.156 bb |
| Bet 0.84 pot (29 bb) | 0.00% | -0.46 bb |
| Bet 1½ pot (51.5 bb) | 0.00% | -2.133 bb |
| All-in (83.1 bb) | 0.00% | -4.81 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 9♥ 5♥ 2♠: big blind checks, button bets 4.1 bb, big blind calls · Turn K♣: big blind checks, button bets 10.3 bb, big blind calls · River 3♥: big blind checks · Pot 34.3 bb · Button to act, 83.1 bb behind
- Pot at this decision, including the bets in front: 34.3 bb
- The button: 83.1 bb behind
- The big blind: 83.1 bb behind
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA 11 % | AKs 4 % | AQs 2 % | AJs 2 % | ATs 4 % | A9s 27 % | A8s 1 % | A7s 2 % | A6s 8 % | A5s 1 % | A4s 18 % | A3s 3 % | A2s 5 % |
| K | AKo 4 % | KK 15 % | KQs 6 % | KJs 7 % | KTs 11 % | K9s 26 % | K8s 10 % | K7s 14 % | K6s 15 % | K5s 23 % | K4s 12 % | K3s 11 % | K2s 15 % |
| Q | AQo <1 % | KQo 6 % | QQ 14 % | QJs 9 % | QTs 12 % | Q9s 5 % | Q8s 7 % | Q7s 7 % | Q6s 10 % | Q5s <1 % | Q4s 12 % | Q3s 12 % | Q2s <1 % |
| J | AJo <1 % | KJo 11 % | QJo 9 % | JJ 25 % | JTs 20 % | J9s <1 % | J8s 6 % | J7s 12 % | J6s 9 % | J5s <1 % | J4s 12 % | J3s 4 % | J2s Not in this range here |
| T | ATo 1 % | KTo 13 % | QTo 12 % | JTo 12 % | TT 26 % | T9s Not in this range here | T8s 8 % | T7s 9 % | T6s 12 % | 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 25 % | K9o 26 % | Q9o 3 % | J9o <1 % | T9o Not in this range here | 99 22 % | 98s Not in this range here | 97s Not in this range here | 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 1 % | K8o 13 % | Q8o Not in this range here | J8o 3 % | T8o 10 % | 98o Not in this range here | 88 Not in this range here | 87s 6 % | 86s 5 % | 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 7 % | K7o 5 % | 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 Not in this range here | 76s 4 % | 75s Not in this range here | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o 14 % | 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 Not in this range here | 65s Not in this range here | 64s 4 % | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o 1 % | 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 22 % | 54s 2 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o 12 % | 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 Not in this range here | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o <1 % | 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 Not in this range here | 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 27 % |
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 Not in this range here | ATs 15 % | A9s 61 % | A8s 20 % | A7s 21 % | A6s 15 % | A5s Not in this range here | A4s 10 % | A3s 30 % | A2s 17 % |
| K | AKo Not in this range here | KK Not in this range here | KQs Not in this range here | KJs 23 % | KTs 15 % | K9s 22 % | K8s 13 % | K7s 8 % | K6s 6 % | K5s 66 % | K4s 13 % | K3s Not in this range here | K2s 52 % |
| Q | AQo Not in this range here | KQo 18 % | QQ Not in this range here | QJs 13 % | QTs 9 % | Q9s 67 % | Q8s <1 % | Q7s 3 % | Q6s <1 % | Q5s <1 % | Q4s 1 % | Q3s Not in this range here | Q2s 22 % |
| J | AJo Not in this range here | KJo 9 % | QJo Not in this range here | JJ Not in this range here | JTs <1 % | J9s 18 % | J8s Not in this range here | J7s Not in this range here | J6s Not in this range here | J5s 1 % | J4s Not in this range here | J3s Not in this range here | J2s 14 % |
| T | ATo Not in this range here | KTo 6 % | QTo Not in this range here | JTo Not in this range here | TT Not in this range here | T9s Not in this range here | T8s Not in this range here | T7s Not in this range here | T6s Not in this range here | T5s 3 % | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o 44 % | K9o 25 % | Q9o 53 % | J9o 65 % | T9o 68 % | 99 <1 % | 98s 34 % | 97s 79 % | 96s 71 % | 95s <1 % | 94s Not in this range here | 93s Not in this range here | 92s Not in this range here |
| 8 | A8o Not in this range here | 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 23 % | 88 1 % | 87s <1 % | 86s <1 % | 85s 28 % | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o Not in this range here | 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 <1 % | 76s <1 % | 75s 44 % | 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 Not in this range here | 65s 36 % | 64s 9 % | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o 29 % | 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 Not in this range here | 54s 22 % | 53s 39 % | 52s 1 % |
| 4 | A4o 9 % | 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 Not in this range here | 43s 10 % | 42s 29 % |
| 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 Not in this range here | 32s 1 % |
| 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 Not in this range here |
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's precomputed solution for a 6-max cash game at 100 big blinds, with a 5% rake capped at 0.6 bb, opens sized by the solver (2.5 bb here) and several bet sizes on each street. The flop and turn follow the button's most-used sizes, 4.1 bb and 10.3 bb. On the river the button can check, move all in or bet from a tenth of the pot to 1½ times the pot. A♥Q♣ reaches this river so rarely that A♥6♣ and A♣6♠ stand in. Two players see the flop. Pots with three or more players aren't covered, and neither are bet sizes outside this solution. Poker Skill read the numbers and wrote the explanation.
- Line to this decision
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F-F-F-R2.5-F-C·flop X-R4.1-C, turn X-R10.3-C, river X - Solver notation
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9h5h2sKc3h·Ah6c·Ac6s·AhQc. F fold, X check, C call, R2.5 a bet or raise to 2.5 bb, RAI all-in.
Solution read Oct 2, 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.