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.
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 the button's most-used sizes, 1.8 bb and 11.4 bb. On the river this page follows the all-in, because the question asks about a shove; the button's most-used river bet is smaller. Facing the all-in, the big blind can only call or fold. 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-R1.8-C, turn X-R11.4-C, river X-RAI - Solver notation
-
Kd8c3sJh2c·KhTh. 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.