Solver answer
J♥T♥ facing a c-bet on K♣ 8♥ 4♦: float or fold?
6-max cash, 100 big blinds · Cutoff opens, button calls · Flop K♣ 8♥ 4♦ · Cutoff bets 3.05 bb into 6.1 bb · Button to act
Updated
The solver's answer
Call 86% Raise 10% Fold 4%
- ½ pot · to 9.15 bb 9%
- pot · to 15.25 bb 1%
- All-in · 97.7 bb 0%
J♥T♥ calls most of the time, and calling is worth almost exactly what folding is.
The solver plays J♥T♥ along this line to this decision 38% of the time; otherwise it acts differently earlier in the hand.
- Pot
- 6.1 bb
- Behind
- 97.7 bb
- Cutoff
- Bets 3.05 bb
In a 6-max cash game at 100 big blinds, after the cutoff opens to 2.3 bb, the button calls and the cutoff c-bets 3.05 bb into 6.1 bb on a K♣ 8♥ 4♦ flop, the button calls with J♥T♥ 86% of the time, raises 10% and folds 4%, according to a solver answer published free by Poker Skill.
Why the button floats J♥T♥
- The price is close to J♥T♥'s equity: calling 3.05 bb to win 9.15 bb needs 25.0%, and J♥T♥ has 24.1% against the cutoff's bet. Calling is worth 0.01 bb, folding nothing.
- A float is a call in position with a weak hand that plans to win the pot later, and backdoor draws help it: J♥T♥ can make a flush with two more hearts, or a straight with two more connecting cards, such as a queen and a nine.
- Hands like it mostly call: hands with a backdoor flush draw that uses both hole cards call 71% of the time, while ace-high hands fold 47%.
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 Not in this range here | AQs Not in this range here | AJs C 90 % | ATs C 51 % | A9s F 86 % | A8s C 97 % | A7s C 55 % | A6s C 44 % | A5s C 55 % | A4s C 88 % | A3s C 54 % | A2s Not in this range here |
| K | AKo C 99 % | KK Not in this range here | KQs C 77 % | KJs C 89 % | KTs C 94 % | K9s C 89 % | K8s R 57 % | K7s C 99 % | K6s C 93 % | K5s C 100 % | K4s Not in this range here | K3s Not in this range here | K2s Not in this range here |
| Q | AQo C 54 % | KQo C 93 % | QQ Not in this range here | QJs C 50 % | QTs F 67 % | Q9s F 99 % | 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 F 100 % | KJo C 97 % | QJo Not in this range here | JJ C 100 % | JTs C 74 % | J9s F 98 % | 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 C 97 % | T9s C 56 % | T8s C 99 % | 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 C 92 % | 98s C 84 % | 97s C 40 % | 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 C 75 % | 87s C 84 % | 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 C 67 % | 76s C 77 % | 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 C 70 % | 65s C 53 % | 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 C 63 % | 54s C 57 % | 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 C 52 % | 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 F 62 % | 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 F 59 % |
- Fold: 26.75% of the range (16.13 combos)
- Call (3.05 bb): 64.92% of the range (39.13 combos)
- Raise ½ pot (to 9.15 bb): 6.98% of the range (4.21 combos)
- Raise pot (to 15.25 bb): 1.35% of the range (0.81 combos)
- All-in (97.7 bb): 0.00% of the range (0 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 | Fold | Call (3.05 bb) | Raise ½ pot (to 9.15 bb) | Raise pot (to 15.25 bb) | All-in (97.7 bb) |
|---|---|---|---|---|---|---|
| AJs | 2.112 | 9.2% | 89.6% | 1.0% | 0.3% | 0.0% |
| ATs | 2.728 | 46.4% | 51.1% | 2.1% | 0.5% | 0.0% |
| A9s | 1.24 | 86.4% | 13.1% | 0.0% | 0.6% | 0.0% |
| A8s | 1.056 | 0.0% | 96.8% | 2.8% | 0.3% | 0.0% |
| A7s | 0.96 | 26.2% | 54.8% | 15.6% | 3.5% | 0.0% |
| A6s | 0.488 | 24.9% | 43.6% | 25.4% | 6.1% | 0.0% |
| A5s | 1.056 | 21.0% | 55.3% | 21.4% | 2.3% | 0.0% |
| A4s | 1.152 | 0.0% | 87.5% | 9.9% | 2.6% | 0.0% |
| A3s | 1.256 | 24.8% | 53.7% | 17.6% | 4.0% | 0.0% |
| AKo | 0.036 | 0.0% | 99.4% | 0.2% | 0.3% | 0.0% |
| KQs | 1.356 | 0.0% | 77.0% | 21.5% | 1.4% | 0.0% |
| KJs | 0.78 | 0.0% | 88.6% | 11.0% | 0.4% | 0.0% |
| KTs | 1.134 | 0.0% | 93.8% | 5.4% | 0.8% | 0.0% |
| K9s | 1.098 | 0.0% | 89.0% | 8.8% | 2.2% | 0.0% |
| K8s | 0.032 | 0.0% | 42.6% | 13.7% | 43.8% | 0.0% |
| K7s | 0.276 | 0.0% | 98.8% | 0.6% | 0.6% | 0.0% |
| K6s | 0.594 | 0.0% | 93.2% | 6.1% | 0.8% | 0.0% |
| K5s | 0.042 | 0.0% | 100.0% | 0.0% | 0.0% | 0.0% |
| AQo | 4.536 | 43.4% | 54.1% | 2.1% | 0.4% | 0.0% |
| KQo | 2.178 | 0.0% | 93.0% | 6.4% | 0.6% | 0.0% |
| QJs | 2.24 | 46.2% | 50.4% | 2.6% | 0.8% | 0.0% |
| QTs | 2.096 | 66.7% | 30.9% | 1.8% | 0.6% | 0.0% |
| Q9s | 0.136 | 99.4% | 0.0% | 0.1% | 0.5% | 0.0% |
| AJo | 2.568 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| KJo | 1.656 | 0.0% | 96.5% | 3.3% | 0.2% | 0.0% |
| JJ | 1.056 | 0.0% | 100.0% | 0.0% | 0.0% | 0.0% |
| JTs | 1.52 | 17.5% | 74.2% | 7.8% | 0.6% | 0.0% |
| J9s | 0.744 | 98.2% | 0.8% | 0.6% | 0.5% | 0.0% |
| TT | 2.364 | 0.0% | 97.3% | 2.6% | 0.1% | 0.0% |
| T9s | 1.464 | 35.5% | 56.5% | 6.8% | 1.2% | 0.0% |
| T8s | 0.102 | 0.0% | 99.4% | 0.1% | 0.5% | 0.0% |
| 99 | 2.808 | 0.0% | 91.6% | 7.7% | 0.7% | 0.0% |
| 98s | 0.9 | 0.0% | 84.0% | 14.8% | 1.3% | 0.0% |
| 97s | 0.024 | 22.7% | 39.5% | 12.7% | 25.1% | 0.0% |
| 88 | 1.716 | 0.0% | 74.5% | 21.1% | 4.4% | 0.0% |
| 87s | 0.48 | 0.0% | 83.9% | 14.9% | 1.2% | 0.0% |
| 77 | 3.648 | 29.7% | 67.4% | 2.3% | 0.7% | 0.0% |
| 76s | 0.408 | 0.0% | 77.4% | 21.1% | 1.6% | 0.0% |
| 66 | 3.48 | 17.0% | 70.4% | 10.0% | 2.6% | 0.0% |
| 65s | 0.368 | 0.0% | 52.6% | 43.1% | 4.2% | 0.0% |
| 55 | 2.46 | 33.8% | 62.5% | 2.9% | 0.8% | 0.0% |
| 54s | 0.468 | 0.0% | 57.4% | 35.1% | 7.4% | 0.0% |
| 44 | 0.888 | 0.0% | 52.3% | 35.4% | 12.3% | 0.0% |
| 33 | 1.344 | 61.5% | 37.6% | 0.3% | 0.7% | 0.0% |
| 22 | 1.236 | 59.2% | 39.2% | 0.6% | 1.0% | 0.0% |
What each action is worth with J♥T♥
| Action | How often | Expected value |
|---|---|---|
| Fold | 4.60% | 0 bb |
| Call (3.05 bb) | 85.70% | 0.007 bb |
| Raise ½ pot (to 9.15 bb) | 9.10% | 0.001 bb |
| Raise pot (to 15.25 bb) | 0.60% | -0.037 bb |
| All-in (97.7 bb) | 0.00% | -10.488 bb |
Ranges, pot and stacks
- The hand so far: 6-max cash, 100 big blinds · Cutoff opens to 2.3 bb, button calls · Flop K♣ 8♥ 4♦: cutoff bets 3.05 bb into 6.1 bb · Button to act, 97.7 bb behind
- Pot at this decision, including the bets in front: 9.15 bb
- The button: 97.7 bb behind
- The cutoff: 94.65 bb behind, 3.05 bb in front
| 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 53 % | ATs 68 % | A9s 31 % | A8s 35 % | A7s 24 % | A6s 12 % | A5s 26 % | A4s 38 % | A3s 31 % | A2s Not in this range here |
| K | AKo <1 % | KK Not in this range here | KQs 45 % | KJs 26 % | KTs 38 % | K9s 37 % | K8s 2 % | K7s 9 % | K6s 20 % | K5s 1 % | K4s Not in this range here | K3s Not in this range here | K2s Not in this range here |
| Q | AQo 38 % | KQo 24 % | QQ Not in this range here | QJs 56 % | QTs 52 % | Q9s 3 % | 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 21 % | KJo 18 % | QJo Not in this range here | JJ 18 % | JTs 38 % | J9s 19 % | 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 39 % | T9s 37 % | T8s 3 % | 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 47 % | 98s 30 % | 97s 1 % | 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 57 % | 87s 16 % | 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 61 % | 76s 10 % | 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 58 % | 65s 9 % | 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 41 % | 54s 16 % | 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 30 % | 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 22 % | 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 21 % |
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 40 % | AKs 35 % | AQs 21 % | AJs 25 % | ATs 36 % | A9s 40 % | A8s 29 % | A7s 33 % | A6s 33 % | A5s 32 % | A4s 21 % | A3s 27 % | A2s 30 % |
| K | AKo 31 % | KK 36 % | KQs 41 % | KJs 37 % | KTs 30 % | K9s 25 % | K8s 35 % | K7s 20 % | K6s 19 % | K5s 22 % | K4s 24 % | K3s 10 % | K2s Not in this range here |
| Q | AQo 17 % | KQo 37 % | QQ 17 % | QJs 31 % | QTs 34 % | Q9s 25 % | Q8s 22 % | Q7s 3 % | Q6s 14 % | Q5s 7 % | Q4s Not in this range here | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo 25 % | KJo 31 % | QJo 15 % | JJ 18 % | JTs 27 % | J9s 32 % | J8s 20 % | J7s 10 % | 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 12 % | KTo 21 % | QTo 6 % | JTo 16 % | TT 17 % | T9s 23 % | T8s 26 % | T7s 26 % | 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 <1 % | K9o 4 % | Q9o Not in this range here | J9o <1 % | T9o 3 % | 99 12 % | 98s 28 % | 97s 21 % | 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 17 % | 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 28 % | 87s 30 % | 86s 16 % | 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 3 % | 76s 18 % | 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 10 % | 65s 18 % | 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 15 % | 54s 5 % | 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 34 % | 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 11 % | 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 11 % |
Each cell shows the share of the class's possible combos in the range.