Solver answer
K♥T♥ facing a river all-in: call or fold?
6-max cash, 100 big blinds · Button opens, big blind calls · River K♦ 8♣ 3♠ J♥ 2♣ · Button goes all-in for 84.3 bb into 31.9 bb · Big blind to act
Updated
The solver's answer
Call 58% Fold 42%
K♥T♥ is almost exactly break-even against the shove, so the solver calls a little more than half the time.
The solver plays K♥T♥ along this line to this decision 32.2% of the time; otherwise it acts differently earlier in the hand.
K♦8♣3♠J♥2♣
K♥T♥ You
- Pot
- 31.9 bb
- Behind
- 84.3 bb
- Button
- All-in 84.3 bb
In a 6-max cash game at 100 big blinds, after the big blind calls the button's 1.8 bb flop c-bet on K♦ 8♣ 3♠ and 11.4 bb turn bet on the J♥, then checks the 2♣ river, the button moves all in for 84.3 bb into 31.9 bb, and the big blind calls with K♥T♥ 58% of the time and folds 42%, according to a solver answer published free by Poker Skill.
Why K♥T♥ calls about half the time
- Calling 84.3 bb to win 116.2 bb needs 42.0% equity, and K♥T♥ has 42.3% against the shoving range. That is almost exactly break-even: calling is worth 0.16 bb and folding nothing, so the solve mixes.
- Top pair is a bluff-catcher here: it beats the button's bluffs and loses to its value. The button shoves its sets, its two pair and some hands with no pair; its top pairs never shove.
- The big blind's top pairs as a group call 30% of the time, and its two pair 99%.
- Against the button's most-used river bet, which is smaller, K♥T♥ calls 94% of the time.
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 Not in this range here | ATs F 100 % | A9s Not in this range here | A8s F 64 % | A7s Not in this range here | A6s Not in this range here | A5s Not in this range here | A4s Not in this range here | A3s F 100 % | A2s Not in this range here |
| K | AKo Not in this range here | KK Not in this range here | KQs Not in this range here | KJs C 100 % | KTs F 55 % | K9s F 100 % | K8s C 100 % | K7s F 72 % | K6s F 66 % | K5s F 64 % | K4s F 67 % | K3s C 100 % | K2s C 100 % |
| Q | AQo F 100 % | KQo F 65 % | QQ Not in this range here | QJs F 100 % | QTs F 100 % | Q9s Not in this range here | Q8s F 100 % | 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 F 100 % | Q2s Not in this range here |
| J | AJo F 75 % | KJo C 100 % | QJo F 100 % | JJ Not in this range here | JTs F 100 % | J9s F 100 % | J8s C 100 % | J7s F 100 % | J6s Not in this range here | J5s Not in this range here | J4s Not in this range here | J3s C 95 % | J2s Not in this range here |
| T | ATo F 100 % | KTo F 58 % | QTo F 100 % | JTo F 100 % | TT Not in this range here | T9s Not in this range here | T8s F 100 % | 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 F 100 % | T2s Not in this range here |
| 9 | A9o Not in this range here | K9o F 100 % | Q9o Not in this range here | J9o F 100 % | T9o F 100 % | 99 F 100 % | 98s F 100 % | 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 F 66 % | K8o C 100 % | Q8o Not in this range here | J8o Not in this range here | T8o F 100 % | 98o F 100 % | 88 C 100 % | 87s F 100 % | 86s F 100 % | 85s F 100 % | 84s F 100 % | 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 F 100 % | 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 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 Not in this range here | 64s Not in this range here | 63s F 100 % | 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 Not in this range here | 53s F 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 Not in this range here | 43s F 100 % | 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 F 100 % |
| 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 |
- Fold: 74.18% of the range (42.34 combos)
- Call (84.3 bb, all-in): 25.82% of the range (14.74 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 (84.3 bb, all-in) |
|---|---|---|---|
| ATs | 0.96 | 100.0% | 0.0% |
| A8s | 0.437 | 63.6% | 36.4% |
| A3s | 0.518 | 100.0% | 0.0% |
| KJs | 0.08 | 0.0% | 100.0% |
| KTs | 0.77 | 54.5% | 45.5% |
| K9s | 0.667 | 99.9% | 0.1% |
| K8s | 0.211 | 0.0% | 100.0% |
| K7s | 1.96 | 72.3% | 27.7% |
| K6s | 1.758 | 65.8% | 34.2% |
| K5s | 2.159 | 64.3% | 35.7% |
| K4s | 2.236 | 67.3% | 32.7% |
| K3s | 0.548 | 0.0% | 100.0% |
| K2s | 1.744 | 0.0% | 100.0% |
| AQo | 0.662 | 100.0% | 0.0% |
| KQo | 3.126 | 64.8% | 35.2% |
| QJs | 1.109 | 100.0% | 0.0% |
| QTs | 1.079 | 100.0% | 0.0% |
| Q8s | 0.062 | 100.0% | 0.0% |
| Q3s | 0.002 | 100.0% | 0.0% |
| AJo | 5.223 | 75.1% | 24.9% |
| KJo | 2.102 | 0.0% | 100.0% |
| QJo | 2.834 | 100.0% | 0.0% |
| JTs | 0.004 | 100.0% | 0.0% |
| J9s | 0.106 | 100.0% | 0.0% |
| J8s | 0.823 | 0.0% | 100.0% |
| J7s | 0.302 | 100.0% | 0.0% |
| J3s | 1.476 | 5.1% | 94.9% |
| ATo | 3.451 | 100.0% | 0.0% |
| KTo | 3.993 | 57.9% | 42.1% |
| QTo | 1.018 | 100.0% | 0.0% |
| JTo | 1.806 | 100.0% | 0.0% |
| T8s | 0.017 | 100.0% | 0.0% |
| T3s | 0.001 | 100.0% | 0.0% |
| K9o | 2.82 | 100.0% | 0.0% |
| J9o | 0.011 | 100.0% | 0.0% |
| T9o | 0.177 | 100.0% | 0.0% |
| 99 | 0.006 | 100.0% | 0.0% |
| 98s | 0.174 | 100.0% | 0.0% |
| A8o | 1.582 | 66.0% | 34.0% |
| K8o | 0.047 | 0.0% | 100.0% |
| T8o | 0.082 | 100.0% | 0.0% |
| 98o | 0.418 | 100.0% | 0.0% |
| 88 | 0.003 | 0.0% | 100.0% |
| 87s | 0.786 | 100.0% | 0.0% |
| 86s | 1.566 | 99.9% | 0.1% |
| 85s | 1.444 | 99.9% | 0.1% |
| 84s | 0.092 | 99.7% | 0.3% |
| 87o | 1.716 | 100.0% | 0.0% |
| 63s | 0.87 | 100.0% | 0.0% |
| 53s | 0.761 | 100.0% | 0.0% |
| 43s | 1.271 | 100.0% | 0.0% |
| 32s | 0.005 | 100.0% | 0.0% |
What each action is worth with K♥T♥
| Action | How often | Expected value |
|---|---|---|
| Fold | 41.74% | 0 bb |
| Call (84.3 bb, all-in) | 58.26% | 0.156 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 K♦ 8♣ 3♠: big blind checks, button bets 1.8 bb, big blind calls · Turn J♥: big blind checks, button bets 11.4 bb, big blind calls · River 2♣: big blind checks, button goes all-in for 84.3 bb into 31.9 bb · Big blind to act, 84.3 bb behind
- Pot at this decision, including the bets in front: 116.2 bb
- The big blind: 84.3 bb behind
- The button: 0 bb behind, 84.3 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 Not in this range here | ATs 24 % | A9s Not in this range here | A8s 15 % | A7s Not in this range here | A6s Not in this range here | A5s Not in this range here | A4s Not in this range here | A3s 17 % | A2s Not in this range here |
| K | AKo Not in this range here | KK Not in this range here | KQs Not in this range here | KJs 4 % | KTs 26 % | K9s 22 % | K8s 11 % | K7s 65 % | K6s 59 % | K5s 72 % | K4s 75 % | K3s 27 % | K2s 87 % |
| Q | AQo 6 % | KQo 35 % | QQ Not in this range here | QJs 37 % | QTs 27 % | Q9s Not in this range here | Q8s 2 % | 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 <1 % | Q2s Not in this range here |
| J | AJo 58 % | KJo 30 % | QJo 32 % | JJ Not in this range here | JTs <1 % | J9s 4 % | J8s 41 % | J7s 10 % | J6s Not in this range here | J5s Not in this range here | J4s Not in this range here | J3s 74 % | J2s Not in this range here |
| T | ATo 29 % | KTo 44 % | QTo 9 % | JTo 20 % | TT Not in this range here | T9s Not in this range here | T8s 1 % | 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 <1 % | T2s Not in this range here |
| 9 | A9o Not in this range here | K9o 31 % | Q9o Not in this range here | J9o <1 % | T9o 2 % | 99 <1 % | 98s 6 % | 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 18 % | K8o 1 % | Q8o Not in this range here | J8o Not in this range here | T8o 1 % | 98o 5 % | 88 <1 % | 87s 26 % | 86s 52 % | 85s 48 % | 84s 3 % | 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 19 % | 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 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 Not in this range here | 64s Not in this range here | 63s 29 % | 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 Not in this range here | 53s 25 % | 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 42 % | 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 <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.
| 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 Not in this range here | A9s Not in this range here | A8s Not in this range here | A7s Not in this range here | A6s Not in this range here | 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 Not in this range here | KK 1 % | KQs Not in this range here | KJs 11 % | KTs Not in this range here | K9s Not in this range here | K8s 16 % | 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 8 % | K2s Not in this range here |
| Q | AQo Not in this range here | KQo Not in this range here | QQ Not in this range here | QJs Not in this range here | QTs <1 % | Q9s 2 % | Q8s Not in this range here | Q7s <1 % | Q6s 1 % | Q5s 2 % | Q4s 1 % | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo Not in this range here | KJo 10 % | QJo Not in this range here | JJ 15 % | 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 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 <1 % | JTo Not in this range here | TT Not in this range here | T9s 1 % | T8s Not in this range here | T7s 2 % | T6s 2 % | T5s 1 % | 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 2 % | J9o Not in this range here | T9o 2 % | 99 Not in this range here | 98s Not in this range here | 97s 12 % | 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 Not in this range here | K8o 12 % | 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 12 % | 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 Not in this range here | 76s 1 % | 75s 1 % | 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 2 % | 64s 4 % | 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 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 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 <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 Not in this range here |
Each cell shows the share of the class's possible combos in the range.