Solver answer
A♠J♠ has top two pair on the river: how much to bet?
6-max cash, 100 big blinds · Button opens, big blind calls · River A♥ J♣ 6♦ 9♠ 2♦ · Big blind checks · Button to act
Updated
The solver's answer
Bet 100%
- ⅒ pot · 7 bb 0%
- 0.36 pot · 24 bb 0%
- 0.61 pot · 41 bb 1%
- All-in · 66.5 bb 99%
A♠J♠ moves all in almost every time; only the 41 bb bet earns as much.
The solver plays A♠J♠ along this line to this decision 50.85% of the time; otherwise it acts differently earlier in the hand.
A♥J♣6♦9♠2♦
A♠J♠ You
- Pot
- 67.5 bb
- Behind
- 66.5 bb
- Big blind
- Checks
In a 6-max cash game at 100 big blinds, after the big blind calls the button's 6.9 bb flop c-bet on A♥ J♣ 6♦ and 24.1 bb turn bet on the 9♠, then checks the 2♦ river, the button moves all in with A♠J♠ for 66.5 bb into 67.5 bb 99% of the time and bets 41 bb 1%, according to a solver answer published free by Poker Skill.
Why A♠J♠ bets the whole stack
- All-in and the 41 bb bet are worth the same, 87.15 bb and 87.15 bb. The 24 bb bet gives up some (84.03 bb) and checking far more (63.09 bb).
- A♠J♠ has 94% equity against the big blind's range, and with 66.5 bb behind and 67.5 bb in the pot, the all-in is close to a pot-size bet.
- A value bet pays when worse hands call often enough, and checking gives up the chips those hands would put in.
- The button's other two pairs play it the same way: ace-jack offsuit moves all in 99% of the time and ace-nine offsuit 99%.
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 Not in this range here | AKs X 100 % | AQs X 100 % | AJs B 100 % | ATs X 100 % | A9s B 100 % | A8s Not in this range here | A7s Not in this range here | A6s B 100 % | A5s Not in this range here | A4s Not in this range here | A3s Not in this range here | A2s Not in this range here |
| K | AKo X 99 % | KK Not in this range here | KQs X 100 % | KJs Not in this range here | KTs X 100 % | K9s Not in this range here | K8s Not in this range here | K7s X 100 % | K6s B 97 % | K5s X 100 % | K4s X 100 % | K3s X 60 % | K2s B 63 % |
| Q | AQo X 100 % | KQo X 100 % | QQ Not in this range here | QJs Not in this range here | QTs X 100 % | Q9s X 94 % | Q8s B 71 % | Q7s B 67 % | Q6s B 57 % | Q5s X 87 % | Q4s B 100 % | Q3s B 100 % | Q2s X 100 % |
| J | AJo B 100 % | KJo Not in this range here | QJo Not in this range here | JJ B 100 % | JTs Not in this range here | J9s Not in this range here | J8s Not in this range here | J7s Not in this range here | J6s B 100 % | 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 X 100 % | KTo X 100 % | QTo X 100 % | JTo Not in this range here | TT Not in this range here | T9s X 75 % | T8s X 88 % | T7s X 80 % | T6s X 82 % | T5s X 58 % | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o B 100 % | K9o B 100 % | Q9o X 56 % | J9o Not in this range here | T9o X 72 % | 99 Not in this range here | 98s X 100 % | 97s X 100 % | 96s B 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 Not in this range here | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o X 70 % | 98o X 100 % | 88 Not in this range here | 87s B 100 % | 86s X 100 % | 85s B 69 % | 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 Not in this range here | 76s X 100 % | 75s B 69 % | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o B 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 B 100 % | 65s X 100 % | 64s X 62 % | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o Not in this range here | 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 B 100 % | 53s B 100 % | 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 B 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 B 100 % |
- Check: 54.90% of the range (11.7 combos)
- Bet ⅒ pot (7 bb): 0.00% of the range (0 combos)
- Bet 0.36 pot (24 bb): 0.00% of the range (0 combos)
- Bet 0.61 pot (41 bb): 1.61% of the range (0.34 combos)
- All-in (66.5 bb): 43.49% of the range (9.27 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 (7 bb) | Bet 0.36 pot (24 bb) | Bet 0.61 pot (41 bb) | All-in (66.5 bb) |
|---|---|---|---|---|---|---|
| AKs | 0.593 | 99.8% | 0.0% | 0.0% | 0.2% | 0.0% |
| AQs | 0.151 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| AJs | 1.002 | 0.0% | 0.0% | 0.0% | 1.1% | 98.9% |
| ATs | 0.1 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A9s | 0.095 | 0.0% | 0.0% | 0.0% | 1.0% | 99.0% |
| A6s | 0.016 | 0.0% | 0.0% | 0.0% | 65.7% | 34.3% |
| AKo | 1.646 | 99.1% | 0.0% | 0.0% | 0.6% | 0.3% |
| KQs | 0.007 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| KTs | 0.178 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| K7s | 0.001 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| K6s | 0.005 | 3.0% | 0.0% | 0.0% | 0.1% | 96.9% |
| K5s | 0.003 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| K4s | 0.056 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| K3s | 0.013 | 59.6% | 0.0% | 0.0% | 0.1% | 40.4% |
| K2s | 0.015 | 37.2% | 0.0% | 0.0% | 0.0% | 62.8% |
| AQo | 0.565 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| KQo | 0.033 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| QTs | 0.335 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| Q9s | 0.29 | 93.5% | 0.0% | 0.0% | 0.0% | 6.5% |
| Q8s | 0.468 | 29.2% | 0.0% | 0.0% | 1.9% | 68.8% |
| Q7s | 0.001 | 33.0% | 0.0% | 0.0% | 30.9% | 36.1% |
| Q6s | 0.209 | 43.4% | 0.0% | 0.0% | 0.3% | 56.3% |
| Q5s | 0.001 | 87.2% | 0.0% | 0.0% | 0.3% | 12.5% |
| Q4s | 0.005 | 0.0% | 0.0% | 0.0% | 50.1% | 49.9% |
| Q3s | 0.061 | 0.0% | 0.0% | 0.0% | 1.1% | 98.9% |
| Q2s | 0.067 | 99.6% | 0.0% | 0.0% | 0.0% | 0.4% |
| AJo | 3.506 | 0.0% | 0.0% | 0.0% | 1.2% | 98.8% |
| JJ | 0.279 | 0.0% | 0.0% | 0.0% | 1.1% | 98.9% |
| J6s | 0.038 | 0.0% | 0.0% | 0.1% | 18.5% | 81.4% |
| ATo | 0.627 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| KTo | 0.718 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| QTo | 1.243 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| T9s | 0.291 | 75.0% | 0.0% | 0.0% | 0.0% | 25.0% |
| T8s | 0.636 | 88.2% | 0.0% | 0.0% | 1.5% | 10.3% |
| T7s | 0.126 | 80.1% | 0.0% | 0.0% | 5.7% | 14.2% |
| T6s | 0.554 | 82.2% | 0.0% | 0.0% | 0.0% | 17.7% |
| T5s | 0.001 | 58.3% | 0.0% | 0.0% | 0.5% | 41.2% |
| A9o | 0.621 | 0.0% | 0.0% | 0.0% | 1.0% | 99.0% |
| K9o | 0.001 | 0.1% | 0.0% | 0.0% | 0.0% | 99.9% |
| Q9o | 0.043 | 55.6% | 0.0% | 0.0% | 0.2% | 44.2% |
| T9o | 0.356 | 71.5% | 0.0% | 0.0% | 0.0% | 28.5% |
| 98s | 0.084 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 97s | 0.099 | 99.9% | 0.0% | 0.0% | 0.0% | 0.1% |
| 96s | 0.151 | 0.0% | 0.0% | 0.0% | 84.1% | 15.9% |
| T8o | 0.76 | 70.4% | 0.0% | 0.0% | 1.5% | 28.2% |
| 98o | 0.219 | 99.9% | 0.0% | 0.0% | 0.0% | 0.1% |
| 87s | 0.001 | 0.2% | 0.0% | 0.1% | 48.6% | 51.1% |
| 86s | 0.585 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 85s | 0.001 | 31.4% | 0.0% | 0.1% | 6.9% | 61.5% |
| 76s | 0.445 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 75s | 1.011 | 31.2% | 0.0% | 0.0% | 2.0% | 66.8% |
| A6o | 0.07 | 0.0% | 0.0% | 0.1% | 29.3% | 70.6% |
| 66 | 1.012 | 0.0% | 0.0% | 0.0% | 1.2% | 98.8% |
| 65s | 0.527 | 99.8% | 0.0% | 0.0% | 0.0% | 0.2% |
| 64s | 0.725 | 62.2% | 0.0% | 0.0% | 0.3% | 37.5% |
| 54s | 0.321 | 0.0% | 0.0% | 0.0% | 7.5% | 92.4% |
| 53s | 0.075 | 0.0% | 0.0% | 0.0% | 0.4% | 99.6% |
| 44 | 0.004 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 33 | 0.148 | 1.6% | 0.0% | 0.0% | 0.4% | 98.1% |
| 22 | 0.115 | 0.0% | 0.0% | 0.0% | 1.0% | 99.0% |
What each action is worth with A♠J♠
| Action | How often | Expected value |
|---|---|---|
| Check | 0.00% | 63.085 bb |
| Bet ⅒ pot (7 bb) | 0.00% | 74.83 bb |
| Bet 0.36 pot (24 bb) | 0.00% | 84.033 bb |
| Bet 0.61 pot (41 bb) | 1.18% | 87.147 bb |
| All-in (66.5 bb) | 98.82% | 87.152 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 A♥ J♣ 6♦: big blind checks, button bets 6.9 bb, big blind calls · Turn 9♠: big blind checks, button bets 24.1 bb, big blind calls · River 2♦: big blind checks · Pot 67.5 bb · Button to act, 66.5 bb behind
- Pot at this decision, including the bets in front: 67.5 bb
- The button: 66.5 bb behind
- The big blind: 66.5 bb behind
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA Not in this range here | AKs 20 % | AQs 5 % | AJs 50 % | ATs 3 % | A9s 5 % | A8s Not in this range here | A7s Not in this range here | A6s 1 % | A5s Not in this range here | A4s Not in this range here | A3s Not in this range here | A2s Not in this range here |
| K | AKo 18 % | KK Not in this range here | KQs <1 % | KJs Not in this range here | KTs 4 % | K9s Not in this range here | K8s Not in this range here | K7s <1 % | K6s <1 % | K5s <1 % | K4s 1 % | K3s <1 % | K2s 1 % |
| Q | AQo 6 % | KQo <1 % | QQ Not in this range here | QJs Not in this range here | QTs 8 % | Q9s 10 % | Q8s 12 % | Q7s <1 % | Q6s 7 % | Q5s <1 % | Q4s <1 % | Q3s 2 % | Q2s 2 % |
| J | AJo 50 % | KJo Not in this range here | QJo Not in this range here | JJ 9 % | JTs Not in this range here | J9s Not in this range here | J8s Not in this range here | J7s Not in this range here | J6s 2 % | 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 7 % | KTo 6 % | QTo 10 % | JTo Not in this range here | TT Not in this range here | T9s 10 % | T8s 16 % | T7s 3 % | T6s 19 % | T5s <1 % | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o 9 % | K9o <1 % | Q9o 1 % | J9o Not in this range here | T9o 4 % | 99 Not in this range here | 98s 3 % | 97s 3 % | 96s 8 % | 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 Not in this range here | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o 6 % | 98o 2 % | 88 Not in this range here | 87s <1 % | 86s 20 % | 85s <1 % | 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 Not in this range here | 76s 15 % | 75s 25 % | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o 1 % | 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 34 % | 65s 18 % | 64s 24 % | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o Not in this range here | 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 8 % | 53s 2 % | 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 <1 % | 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 3 % | 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 4 % |
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 24 % | A9s 31 % | A8s 26 % | A7s 50 % | A6s 26 % | A5s Not in this range here | A4s 42 % | A3s 80 % | A2s 51 % |
| K | AKo Not in this range here | KK Not in this range here | KQs Not in this range here | KJs 4 % | KTs Not in this range here | K9s Not in this range here | K8s Not in this range here | K7s Not in this range here | K6s Not in this range here | K5s Not in this range here | K4s Not in this range here | K3s Not in this range here | K2s Not in this range here |
| Q | AQo 6 % | KQo Not in this range here | QQ Not in this range here | QJs 21 % | QTs 20 % | Q9s Not in this range here | Q8s Not in this range here | Q7s Not in this range here | Q6s Not in this range here | Q5s Not in this range here | Q4s Not in this range here | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo 47 % | KJo 3 % | QJo 9 % | JJ Not in this range here | JTs Not in this range here | J9s Not in this range here | J8s <1 % | J7s <1 % | J6s Not in this range here | J5s <1 % | J4s 1 % | J3s 6 % | J2s Not in this range here |
| T | ATo 29 % | KTo Not in this range here | QTo 10 % | 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 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 31 % | K9o Not in this range here | Q9o Not in this range here | J9o Not in this range here | T9o Not in this range here | 99 Not in this range here | 98s Not in this range here | 97s Not in this range here | 96s <1 % | 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 25 % | 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 Not in this range here | 87s Not in this range here | 86s Not in this range here | 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 35 % | 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 Not in this range here | 76s Not in this range here | 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 6 % | 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 18 % | 65s Not in this range here | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o 28 % | 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 Not in this range here | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o 32 % | 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 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 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 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 A♠J♠'s own most-used bets, 6.9 bb and 24.1 bb. On the river the button can check, move all in or bet 7 bb, 24 bb or 41 bb. 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
-
F-F-F-R2.5-F-C·flop X-R6.9-C, turn X-R24.1-C, river X - Solver notation
-
AhJc6d9s2d·AsJs. 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.