Solver answer
How much should the button defend against UTG's c-bet?
6-max cash, 100 big blinds · UTG opens, button calls · Flop 8♣ 4♥ 2♠ · UTG bets 2.1 bb into 6.5 bb · Button to act
Updated
The solver's answer
The button's whole range
Call 91% Fold 8% Raise 1%
The button defends far more than the minimum: it folds only 8% of its range.
8♣4♥2♠
- Pot
- 6.5 bb
- Behind
- 97.5 bb
- UTG
- Bets 2.1 bb
In a 6-max cash game at 100 big blinds, after UTG opens to 2.5 bb, the button calls and UTG c-bets 2.1 bb into 6.5 bb on an 8♣ 4♥ 2♠ flop, the button calls with 91% of its range, raises 1% and folds 8%, according to a solver answer published free by Poker Skill.
Why the button defends more than the minimum
- The minimum defense frequency for a 2.1 bb bet into 6.5 bb is 76%: the least the button can continue with before UTG profits by betting any two cards. It is a floor, not a target.
- The button continues with 92.2% of its range, and the price is low: calling 2.1 bb to win 8.6 bb needs 19.6% equity.
- Its folds are almost all ace-high and king-high hands, and even those fold only 14% and 17% of the time. Its pairs never fold.
- UTG c-bets only 18% of its range here, and more than half of those bets are hands with no pair.
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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 C 100 % | AJs C 83 % | ATs C 61 % | A9s C 75 % | A8s C 99 % | A7s Not in this range here | A6s Not in this range here | A5s C 99 % | A4s C 100 % | A3s Not in this range here | A2s Not in this range here |
| K | AKo C 100 % | KK Not in this range here | KQs C 84 % | KJs C 88 % | KTs C 68 % | 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 C 99 % | KQo F 72 % | QQ C 99 % | QJs C 99 % | QTs C 99 % | 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 C 100 % | JTs C 99 % | 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 C 100 % | 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 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 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 C 96 % | 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 C 100 % | 76s C 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 C 100 % | 65s C 98 % | 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 100 % | 54s C 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 C 94 % | 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 C 100 % | 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 C 93 % |
- Fold: 7.77% of the range (3 combos)
- Call (2.1 bb): 91.46% of the range (35.26 combos)
- Raise 0.83 pot (to 11 bb): 0.77% of the range (0.3 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 (2.1 bb) | Raise 0.83 pot (to 11 bb) |
|---|---|---|---|---|
| AQs | 1.934 | 0.1% | 99.5% | 0.4% |
| AJs | 3.771 | 16.5% | 82.7% | 0.8% |
| ATs | 2.971 | 38.5% | 60.7% | 0.8% |
| A9s | 0.68 | 24.3% | 74.6% | 1.1% |
| A8s | 0.077 | 0.0% | 99.2% | 0.8% |
| A5s | 1.048 | 0.0% | 98.8% | 1.2% |
| A4s | 0.209 | 0.0% | 100.0% | 0.0% |
| AKo | 0.264 | 0.0% | 100.0% | 0.0% |
| KQs | 3.295 | 14.9% | 83.6% | 1.5% |
| KJs | 1.812 | 11.1% | 88.1% | 0.8% |
| KTs | 1.069 | 31.5% | 68.0% | 0.5% |
| AQo | 2.914 | 0.9% | 98.5% | 0.7% |
| KQo | 0.007 | 71.6% | 28.2% | 0.2% |
| 0.71 | 0.0% | 98.9% | 1.1% | |
| QJs | 0.354 | 0.2% | 98.8% | 1.1% |
| QTs | 0.022 | 0.7% | 99.1% | 0.2% |
| JJ | 4.631 | 0.0% | 99.5% | 0.5% |
| JTs | 0.807 | 0.2% | 99.1% | 0.7% |
| TT | 3.629 | 0.0% | 99.7% | 0.3% |
| 99 | 2.582 | 0.0% | 99.8% | 0.2% |
| 88 | 1.048 | 0.0% | 96.4% | 3.6% |
| 77 | 1.262 | 0.0% | 100.0% | 0.0% |
| 76s | 0.36 | 0.0% | 99.3% | 0.7% |
| 66 | 0.812 | 0.0% | 100.0% | 0.0% |
| 65s | 0.854 | 0.0% | 98.4% | 1.6% |
| 55 | 0.517 | 0.0% | 99.5% | 0.4% |
| 54s | 0.65 | 0.0% | 99.7% | 0.3% |
| 44 | 0.177 | 0.0% | 94.3% | 5.7% |
| 33 | 0.085 | 0.0% | 100.0% | 0.0% |
| 22 | 0.002 | 0.0% | 93.4% | 6.6% |
Ranges, pot and stacks
- The hand so far: 6-max cash, 100 big blinds · UTG opens to 2.5 bb, button calls · Flop 8♣ 4♥ 2♠: UTG bets 2.1 bb into 6.5 bb · Button to act, 97.5 bb behind
- Pot at this decision, including the bets in front: 8.6 bb
- The button: 97.5 bb behind
- UTG: 95.4 bb behind, 2.1 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 48 % | AJs 94 % | ATs 74 % | A9s 17 % | A8s 3 % | A7s Not in this range here | A6s Not in this range here | A5s 26 % | A4s 7 % | A3s Not in this range here | A2s Not in this range here |
| K | AKo 2 % | KK Not in this range here | KQs 82 % | KJs 45 % | KTs 27 % | 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 24 % | KQo <1 % | QQ 12 % | QJs 9 % | QTs 1 % | 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 77 % | JTs 20 % | 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 61 % | 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 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 43 % | 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 35 % | 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 21 % | 76s 9 % | 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 14 % | 65s 21 % | 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 9 % | 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 6 % | 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 1 % | 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.
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA 29 % | AKs 43 % | AQs 25 % | AJs 21 % | ATs 18 % | A9s 2 % | A8s 21 % | A7s 4 % | A6s 15 % | A5s 23 % | A4s 25 % | A3s 23 % | A2s 31 % |
| K | AKo 35 % | KK 30 % | KQs 20 % | KJs 29 % | KTs <1 % | K9s <1 % | K8s 31 % | K7s 1 % | K6s 11 % | K5s 18 % | K4s <1 % | K3s Not in this range here | K2s Not in this range here |
| Q | AQo 22 % | KQo 2 % | QQ 37 % | QJs 31 % | QTs 14 % | Q9s 13 % | 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 5 % | KJo <1 % | QJo 2 % | JJ 36 % | JTs 30 % | 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 <1 % | KTo <1 % | QTo Not in this range here | JTo Not in this range here | TT 28 % | T9s 5 % | 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 <1 % | 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 24 % | 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 28 % | 87s <1 % | 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 18 % | 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 4 % | 65s 5 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o 7 % | 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 4 % | 54s 4 % | 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 4 % | 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.