Solver answer
How often should the 3-bettor c-bet A♣ K♦ 5♠?
6-max cash, 100 big blinds · Cutoff opens, button 3-bets, cutoff calls · Flop A♣ K♦ 5♠ · Cutoff checks · Button to act
Updated
The solver's answer
The button's whole range
Bet 100%
⅕ pot · 3.5 bb
The button bets nearly every hand, always for a fifth of the pot, the one c-bet size this solution offers here.
A♣K♦5♠
- Pot
- 17.5 bb
- Behind
- 92 bb
- Cutoff
- Checks
In a 6-max cash game at 100 big blinds, after the cutoff opens to 2.5 bb, the button 3-bets, the cutoff calls and checks an A♣ K♦ 5♠ flop, the button bets 3.5 bb into 17.5 bb with 100% of its range, according to a solver answer published free by Poker Skill.
Why the button bets every hand in this 3-bet pot
- The button's range has 71% equity against the cutoff's 29%, a large range advantage. An edge this big lets the button bet every hand.
- It also holds almost all of the sets and two pair on this board. The cutoff's calling range is narrow, about 28 hand combinations against the button's 111. Few of its hands connect strongly with an ace and a king.
- Every kind of hand bets, from sets and two pair down to hands with no pair, which bet 100% of the time too.
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 B 100 % | AKs B 100 % | AQs B 100 % | AJs B 100 % | ATs B 100 % | A9s B 100 % | A8s B 100 % | A7s B 100 % | A6s B 100 % | A5s B 100 % | A4s B 100 % | A3s B 100 % | A2s B 100 % |
| K | AKo B 100 % | KK B 100 % | KQs B 100 % | KJs B 100 % | KTs B 100 % | K9s B 100 % | K8s B 100 % | K7s B 100 % | K6s B 100 % | K5s B 100 % | K4s B 100 % | K3s B 100 % | K2s B 100 % |
| Q | AQo B 100 % | KQo B 100 % | QQ B 100 % | QJs B 100 % | QTs B 100 % | 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 B 100 % | KJo B 100 % | QJo B 100 % | JJ B 100 % | JTs B 100 % | J9s Not in this range here | J8s Not in this range here | J7s Not in this range here | J6s Not in this range here | 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 100 % | KTo B 100 % | QTo Not in this range here | JTo Not in this range here | TT B 100 % | T9s B 100 % | 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 Not in this range here | 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 B 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 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 Not in this range here | 88 B 100 % | 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 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 B 100 % | 76s B 99 % | 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 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 100 % | 65s B 100 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o B 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 Not in this range here | 54s B 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 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 |
- Check: 0.11% of the range (0.12 combos)
- Bet ⅕ pot (3.5 bb): 99.89% of the range (111.15 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 ⅕ pot (3.5 bb) |
|---|---|---|---|
| AA | 2.998 | 0.2% | 99.8% |
| AKs | 2 | 0.0% | 100.0% |
| AQs | 2.564 | 0.0% | 100.0% |
| AJs | 0.714 | 0.1% | 99.9% |
| ATs | 0.44 | 0.2% | 99.8% |
| A9s | 2.416 | 0.2% | 99.8% |
| A8s | 1.62 | 0.2% | 99.8% |
| A7s | 2.174 | 0.2% | 99.8% |
| A6s | 2.665 | 0.1% | 99.9% |
| A5s | 1.704 | 0.0% | 100.0% |
| A4s | 2.793 | 0.1% | 99.9% |
| A3s | 3 | 0.1% | 99.9% |
| A2s | 3 | 0.1% | 99.9% |
| AKo | 7 | 0.0% | 100.0% |
| KK | 3 | 0.1% | 99.9% |
| KQs | 1.35 | 0.2% | 99.8% |
| KJs | 1.698 | 0.2% | 99.8% |
| KTs | 1.588 | 0.2% | 99.8% |
| K9s | 0.936 | 0.2% | 99.8% |
| K8s | 0.046 | 0.4% | 99.6% |
| K7s | 0.884 | 0.3% | 99.7% |
| K6s | 1.38 | 0.2% | 99.8% |
| K5s | 0.354 | 0.0% | 100.0% |
| K4s | 1.268 | 0.2% | 99.8% |
| K3s | 0.111 | 0.1% | 99.9% |
| K2s | 0.002 | 0.1% | 99.9% |
| AQo | 7.282 | 0.0% | 100.0% |
| KQo | 8.997 | 0.1% | 99.9% |
| 5.997 | 0.1% | 99.9% | |
| QJs | 3.248 | 0.1% | 99.9% |
| QTs | 2.142 | 0.2% | 99.8% |
| AJo | 8.993 | 0.1% | 99.9% |
| KJo | 8.961 | 0.1% | 99.9% |
| QJo | 0.055 | 0.1% | 99.9% |
| JJ | 5.664 | 0.1% | 99.9% |
| JTs | 0.648 | 0.3% | 99.7% |
| ATo | 0.874 | 0.2% | 99.8% |
| KTo | 2.337 | 0.1% | 99.9% |
| TT | 3.419 | 0.2% | 99.8% |
| T9s | 0.014 | 0.3% | 99.7% |
| 99 | 1.204 | 0.3% | 99.7% |
| 88 | 0.811 | 0.4% | 99.6% |
| 77 | 0.566 | 0.3% | 99.7% |
| 76s | 0.174 | 0.8% | 99.2% |
| 66 | 1.674 | 0.1% | 99.9% |
| 65s | 0.319 | 0.1% | 99.9% |
| A5o | 0.001 | 0.0% | 100.0% |
| 54s | 0.186 | 0.1% | 99.9% |
Ranges, pot and stacks
- The hand so far: 6-max cash, 100 big blinds · Cutoff opens to 2.5 bb, button 3-bets to 8 bb, cutoff calls · Flop A♣ K♦ 5♠: cutoff checks · Pot 17.5 bb · Button to act, 92 bb behind
- Pot at this decision, including the bets in front: 17.5 bb
- The button: 92 bb behind
- The cutoff: 92 bb behind
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA 100 % | AKs 100 % | AQs 86 % | AJs 24 % | ATs 15 % | A9s 81 % | A8s 54 % | A7s 73 % | A6s 89 % | A5s 85 % | A4s 93 % | A3s 100 % | A2s 100 % |
| K | AKo 100 % | KK 100 % | KQs 45 % | KJs 57 % | KTs 53 % | K9s 31 % | K8s 2 % | K7s 30 % | K6s 46 % | K5s 18 % | K4s 42 % | K3s 4 % | K2s <1 % |
| Q | AQo 81 % | KQo 100 % | QQ 100 % | QJs 81 % | QTs 54 % | 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 100 % | KJo 100 % | QJo 1 % | JJ 94 % | JTs 16 % | J9s Not in this range here | J8s Not in this range here | J7s Not in this range here | J6s Not in this range here | 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 10 % | KTo 26 % | QTo Not in this range here | JTo Not in this range here | TT 57 % | T9s <1 % | 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 Not in this range here | 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 20 % | 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 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 Not in this range here | 88 14 % | 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 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 9 % | 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 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 28 % | 65s 11 % | 64s Not in this range here | 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 Not in this range here | 54s 6 % | 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 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.
| 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 100 % | AJs 85 % | ATs 22 % | A9s 1 % | A8s Not in this range here | A7s Not in this range here | A6s Not in this range here | A5s 8 % | A4s <1 % | A3s Not in this range here | A2s Not in this range here |
| K | AKo <1 % | KK Not in this range here | KQs 91 % | KJs 6 % | KTs 1 % | 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 <1 % | KQo Not in this range here | QQ Not in this range here | QJs Not in this range here | QTs 16 % | 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 Not in this range here | KJo Not in this range here | QJo Not in this range here | JJ 1 % | JTs 14 % | J9s Not in this range here | J8s Not in this range here | J7s Not in this range here | J6s Not in this range here | 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 Not in this range here | KTo Not in this range here | QTo Not in this range here | JTo Not in this range here | TT 51 % | T9s 14 % | 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 Not in this range here | 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 45 % | 98s <1 % | 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 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 Not in this range here | 88 48 % | 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 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 34 % | 76s 8 % | 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 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 29 % | 65s 20 % | 64s Not in this range here | 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 19 % | 54s 22 % | 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 29 % | 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 7 % | 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 <1 % |
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 15 bb and 2.5 bb opens. It allows one bet size at each decision. Here the button's c-bet is a fifth of the pot. 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-R2.5-R8-F-F-C·flop X - Solver notation
-
AcKd5s. 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.