Solver answer
How many bluffs does the button's river bet hold?
6-max cash, 100 big blinds · Button opens, big blind calls · River J♠ 8♠ 4♦ 2♣ K♥ · Big blind checks · Button to act
Updated
The solver's answer
The button's whole range
Check 54% Bet 46%
- ⅒ pot · 6 bb 0%
- 0.35 pot · 21.5 bb 0%
- 0.6 pot · 37 bb 15%
- All-in · 69.4 bb 31%
The button bets a little under half its range at two sizes; both bets mix value hands and bluffs.
J♠8♠4♦2♣K♥
- Pot
- 61.7 bb
- Behind
- 69.4 bb
- Big blind
- Checks
In a 6-max cash game at 100 big blinds, after the big blind calls the button's 4.1 bb flop c-bet on J♠ 8♠ 4♦ and 24 bb turn bet on the 2♣, then checks the K♥ river, the button moves all in for 69.4 bb with 31% of its range, bets 37 bb with 15% and checks 54%, according to a solver answer published free by Poker Skill.
How the river bets split between value and bluffs
- A polarized bet holds strong value hands and bluffs, with few hands in between. Here value means top pair or better and a bluff is a hand with no pair.
- The all-in is 67% value and 33% bluffs. The 37 bb bet is 74% value and 26% bluffs.
- A bluff-catcher is indifferent to calling when bluffs make up the bet divided by the pot plus two bets: 34.6% for the all-in and 27.3% for the smaller bet. Each bet's bluff share sits close to its price, and the bigger bet carries more bluffs.
- Sets and two pair mostly move all in (kings 99% of the time). Top pair king-queen prefers the smaller bet (84%). The middle of the range checks: aces, queens and ace-jack every 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 X 100 % | AKs B 100 % | AQs X 100 % | AJs X 100 % | ATs X 100 % | A9s X 100 % | A8s X 100 % | A7s X 100 % | A6s X 91 % | A5s X 63 % | A4s X 100 % | A3s B 56 % | A2s X 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 X 95 % | KQo B 100 % | QQ X 100 % | QJs Not in this range here | QTs X 86 % | Q9s X 68 % | Q8s Not in this range here | Q7s X 94 % | Q6s X 61 % | Q5s X 55 % | Q4s X 100 % | Q3s B 89 % | Q2s X 100 % |
| J | AJo X 100 % | KJo B 100 % | QJo X 100 % | JJ B 100 % | JTs Not in this range here | J9s Not in this range here | J8s B 100 % | J7s Not in this range here | J6s Not in this range here | J5s Not in this range here | J4s B 100 % | J3s Not in this range here | J2s Not in this range here |
| T | ATo X 100 % | KTo B 100 % | QTo B 100 % | JTo Not in this range here | TT Not in this range here | T9s X 88 % | T8s Not in this range here | T7s X 77 % | T6s X 97 % | T5s X 96 % | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o X 100 % | K9o B 100 % | Q9o B 88 % | J9o Not in this range here | T9o X 54 % | 99 Not in this range here | 98s Not in this range here | 97s X 84 % | 96s X 99 % | 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 X 100 % | K8o B 100 % | Q8o Not in this range here | J8o B 100 % | T8o X 100 % | 98o X 100 % | 88 B 100 % | 87s X 100 % | 86s Not in this range here | 85s X 100 % | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o X 96 % | K7o B 100 % | 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 B 100 % | 75s B 100 % | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o B 67 % | 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 B 100 % | 64s X 100 % | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o X 70 % | 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 X 100 % | 54s X 100 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o X 100 % | 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 B 100 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o B 79 % | 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 X 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 B 100 % |
- Check: 54.18% of the range (15.52 combos)
- Bet ⅒ pot (6 bb): 0.00% of the range (0 combos)
- Bet 0.35 pot (21.5 bb): 0.00% of the range (0 combos)
- Bet 0.6 pot (37 bb): 14.88% of the range (4.26 combos)
- All-in (69.4 bb): 30.95% of the range (8.87 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 ⅒ pot (6 bb) | Bet 0.35 pot (21.5 bb) | Bet 0.6 pot (37 bb) | All-in (69.4 bb) |
|---|---|---|---|---|---|---|
| AA | 1.221 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| AKs | 0.186 | 0.0% | 0.0% | 0.0% | 87.6% | 12.4% |
| AQs | 0.015 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| AJs | 1.004 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| ATs | 0.002 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A9s | 0.003 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A8s | 0.001 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A7s | 0.165 | 99.8% | 0.0% | 0.0% | 0.0% | 0.2% |
| A6s | 0.172 | 91.0% | 0.0% | 0.0% | 2.1% | 6.9% |
| A5s | 0.167 | 62.9% | 0.0% | 0.0% | 11.8% | 25.3% |
| A4s | 0.415 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A3s | 0.439 | 43.7% | 0.0% | 0.0% | 12.3% | 44.0% |
| A2s | 0.413 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| AKo | 0.162 | 0.0% | 0.0% | 0.0% | 19.9% | 80.1% |
| KK | 0.853 | 0.0% | 0.0% | 0.0% | 0.9% | 99.1% |
| KQs | 0.334 | 0.0% | 0.0% | 0.0% | 64.3% | 35.7% |
| KJs | 0.17 | 0.0% | 0.0% | 0.0% | 11.6% | 88.4% |
| KTs | 0.016 | 0.0% | 0.0% | 0.0% | 97.2% | 2.8% |
| K9s | 0.009 | 0.0% | 0.0% | 0.0% | 88.5% | 11.5% |
| K8s | 0.004 | 0.0% | 0.0% | 0.0% | 6.7% | 93.3% |
| K7s | 0.171 | 0.0% | 0.0% | 0.0% | 50.4% | 49.6% |
| K6s | 0.271 | 0.0% | 0.0% | 0.0% | 33.6% | 66.4% |
| K5s | 0.309 | 0.0% | 0.0% | 0.0% | 13.7% | 86.3% |
| K4s | 0.186 | 0.0% | 0.0% | 0.0% | 1.2% | 98.8% |
| K3s | 0.312 | 0.0% | 0.0% | 0.0% | 63.8% | 36.2% |
| K2s | 0.088 | 0.0% | 0.0% | 0.0% | 0.8% | 99.2% |
| AQo | 0.326 | 95.2% | 0.0% | 0.0% | 4.8% | 0.0% |
| KQo | 1.197 | 0.0% | 0.0% | 0.0% | 83.5% | 16.5% |
| 1.726 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | |
| QTs | 0.214 | 86.4% | 0.0% | 0.0% | 13.6% | 0.0% |
| Q9s | 0.3 | 67.9% | 0.0% | 0.0% | 32.0% | 0.1% |
| Q7s | 0.205 | 93.8% | 0.0% | 0.0% | 0.2% | 6.0% |
| Q6s | 0.384 | 61.0% | 0.0% | 0.0% | 4.3% | 34.7% |
| Q5s | 0.326 | 54.9% | 0.0% | 0.0% | 25.6% | 19.5% |
| Q4s | 0.292 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| Q3s | 0.267 | 10.8% | 0.0% | 0.0% | 9.5% | 79.8% |
| Q2s | 0.253 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| AJo | 2.327 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| KJo | 0.249 | 0.0% | 0.0% | 0.0% | 21.5% | 78.5% |
| QJo | 0.001 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| JJ | 0.605 | 0.0% | 0.0% | 0.0% | 60.9% | 39.1% |
| J8s | 0.991 | 0.0% | 0.0% | 0.0% | 19.3% | 80.7% |
| J4s | 0.43 | 0.0% | 0.0% | 0.0% | 17.8% | 82.1% |
| ATo | 0.03 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| KTo | 0.136 | 0.0% | 0.0% | 0.0% | 94.0% | 6.0% |
| QTo | 0.471 | 0.0% | 0.0% | 0.0% | 54.1% | 45.9% |
| T9s | 0.468 | 88.0% | 0.0% | 0.0% | 4.1% | 7.9% |
| T7s | 0.315 | 76.5% | 0.0% | 0.0% | 0.1% | 23.5% |
| T6s | 0.138 | 97.1% | 0.0% | 0.0% | 0.0% | 2.9% |
| T5s | 0.014 | 95.5% | 0.0% | 0.0% | 0.0% | 4.5% |
| A9o | 0.147 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| K9o | 0.09 | 0.0% | 0.0% | 0.0% | 88.8% | 11.2% |
| Q9o | 0.531 | 12.6% | 0.0% | 0.0% | 42.1% | 45.4% |
| T9o | 1.095 | 54.0% | 0.0% | 0.0% | 10.6% | 35.4% |
| 97s | 0.323 | 83.7% | 0.0% | 0.0% | 0.1% | 16.2% |
| 96s | 0.094 | 99.4% | 0.0% | 0.0% | 0.0% | 0.6% |
| A8o | 0.003 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| K8o | 0.011 | 0.0% | 0.0% | 0.0% | 4.8% | 95.2% |
| J8o | 0.703 | 0.0% | 0.0% | 0.0% | 20.1% | 79.9% |
| T8o | 0.145 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 98o | 0.14 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 88 | 0.665 | 0.0% | 0.0% | 0.0% | 13.1% | 86.9% |
| 87s | 0.062 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 85s | 0.003 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A7o | 0.379 | 96.3% | 0.0% | 0.0% | 2.6% | 1.1% |
| K7o | 0.215 | 0.0% | 0.0% | 0.0% | 53.4% | 46.6% |
| 76s | 0.144 | 0.0% | 0.0% | 0.0% | 0.3% | 99.7% |
| 75s | 0.092 | 0.0% | 0.0% | 0.0% | 0.3% | 99.7% |
| A6o | 0.331 | 33.4% | 0.0% | 0.0% | 13.9% | 52.8% |
| 65s | 0.439 | 0.0% | 0.0% | 0.0% | 0.0% | 100.0% |
| 64s | 0.302 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A5o | 0.993 | 70.3% | 0.0% | 0.0% | 7.5% | 22.2% |
| 55 | 0.004 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 54s | 0.347 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| A4o | 1.524 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 44 | 0.731 | 0.0% | 0.0% | 0.0% | 2.1% | 97.9% |
| A3o | 0.226 | 20.6% | 0.0% | 0.0% | 15.7% | 63.7% |
| 33 | 0.147 | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% |
| 22 | 0.011 | 0.0% | 0.0% | 0.0% | 0.9% | 99.1% |
Ranges, pot and stacks
- The hand so far: 6-max cash, 100 big blinds · Button opens to 2.5 bb, big blind calls · Flop J♠ 8♠ 4♦: big blind checks, button bets 4.1 bb, big blind calls · Turn 2♣: big blind checks, button bets 24 bb, big blind calls · River K♥: big blind checks · Pot 61.7 bb · Button to act, 69.4 bb behind
- Pot at this decision, including the bets in front: 61.7 bb
- The button: 69.4 bb behind
- The big blind: 69.4 bb behind
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA 20 % | AKs 6 % | AQs <1 % | AJs 34 % | ATs <1 % | A9s <1 % | A8s <1 % | A7s 4 % | A6s 4 % | A5s 4 % | A4s 14 % | A3s 11 % | A2s 14 % |
| K | AKo 2 % | KK 28 % | KQs 11 % | KJs 9 % | KTs 1 % | K9s <1 % | K8s <1 % | K7s 6 % | K6s 9 % | K5s 10 % | K4s 9 % | K3s 10 % | K2s 4 % |
| Q | AQo 3 % | KQo 13 % | QQ 29 % | QJs Not in this range here | QTs 5 % | Q9s 8 % | Q8s Not in this range here | Q7s 5 % | Q6s 10 % | Q5s 8 % | Q4s 10 % | Q3s 7 % | Q2s 8 % |
| J | AJo 26 % | KJo 4 % | QJo <1 % | JJ 20 % | JTs Not in this range here | J9s Not in this range here | J8s 33 % | J7s Not in this range here | J6s Not in this range here | J5s Not in this range here | J4s 22 % | J3s Not in this range here | J2s Not in this range here |
| T | ATo <1 % | KTo 2 % | QTo 4 % | JTo Not in this range here | TT Not in this range here | T9s 12 % | T8s Not in this range here | T7s 8 % | T6s 3 % | T5s <1 % | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o 1 % | K9o 1 % | Q9o 4 % | J9o Not in this range here | T9o 9 % | 99 Not in this range here | 98s Not in this range here | 97s 8 % | 96s 2 % | 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 <1 % | K8o <1 % | Q8o Not in this range here | J8o 12 % | T8o 2 % | 98o 2 % | 88 22 % | 87s 2 % | 86s Not in this range here | 85s <1 % | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o 3 % | K7o 2 % | 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 4 % | 75s 2 % | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o 3 % | 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 11 % | 64s 10 % | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o 8 % | 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 <1 % | 54s 12 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o 17 % | 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 24 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o 2 % | 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 3 % | 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 Not in this range here | AKs Not in this range here | AQs Not in this range here | AJs Not in this range here | ATs 14 % | A9s 18 % | A8s 15 % | A7s 12 % | A6s 14 % | A5s Not in this range here | A4s 11 % | A3s 15 % | A2s 22 % |
| K | AKo Not in this range here | KK Not in this range here | KQs Not in this range here | KJs 43 % | KTs Not in this range here | K9s Not in this range here | K8s 26 % | K7s Not in this range here | K6s Not in this range here | K5s Not in this range here | K4s 41 % | K3s Not in this range here | K2s 1 % |
| Q | AQo Not in this range here | KQo Not in this range here | QQ Not in this range here | QJs 60 % | QTs 4 % | Q9s 4 % | Q8s 45 % | Q7s Not in this range here | Q6s Not in this range here | Q5s Not in this range here | Q4s 17 % | Q3s Not in this range here | Q2s 28 % |
| J | AJo 45 % | KJo 55 % | QJo 49 % | JJ Not in this range here | JTs 13 % | J9s 10 % | J8s Not in this range here | J7s 7 % | J6s 17 % | J5s 24 % | J4s 35 % | J3s 2 % | J2s 36 % |
| T | ATo Not in this range here | KTo Not in this range here | QTo Not in this range here | JTo 41 % | TT Not in this range here | T9s Not in this range here | T8s <1 % | T7s 3 % | T6s Not in this range here | T5s Not in this range here | T4s 6 % | 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 43 % | T9o Not in this range here | 99 Not in this range here | 98s <1 % | 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 15 % | K8o 9 % | Q8o Not in this range here | J8o Not in this range here | T8o 6 % | 98o 4 % | 88 1 % | 87s Not in this range here | 86s <1 % | 85s <1 % | 84s 2 % | 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 7 % | 77 Not in this range here | 76s <1 % | 75s <1 % | 74s 23 % | 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 7 % | 64s 21 % | 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 14 % | 53s Not in this range here | 52s 30 % |
| 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 3 % | 43s 3 % | 42s 73 % |
| 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.
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, 4.1 bb and 24 bb. On the river it can check, move all in or bet 6 bb, 21.5 bb or 37 bb. 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-R4.1-C, turn X-R24-C, river X - Solver notation
-
Js8s4d2cKh. 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.