Solver answer
How often should the 3-bettor c-bet T♥ 5♥ 4♥?
6-max cash, 100 big blinds · UTG opens, button 3-bets, UTG calls · Flop T♥ 5♥ 4♥ · UTG checks · Button to act
Updated
The solver's answer
The button's whole range
Bet 54% Check 46%
0.63 pot · 11 bb
The button bets a little over half its range, and its big pairs bet mostly when they hold a heart.
T♥5♥4♥
- Pot
- 17.5 bb
- Behind
- 92 bb
- UTG
- Checks
In a 6-max cash game at 100 big blinds, after UTG opens to 2.5 bb, the button 3-bets, UTG calls and checks a T♥ 5♥ 4♥ flop, the button bets 11 bb into 17.5 bb with 54% of its range and checks 46%, according to a solver answer published free by Poker Skill.
Why the button checks half its range, and which overpairs bet
- UTG's calling range is ahead on this flop: 55% equity to the button's 45%. The button checks almost half its hands.
- Its overpairs split on the heart. Aces as a group bet 47% of the time and kings 57%; the bets come mostly from the combinations holding the A♥ or K♥, which have a draw to the best or second-best flush.
- On a three-heart flop, a big pair holding the ace of hearts can play fast, since it knows where the best flush is; without it, a big pair plays more carefully.
- Made flushes bet 71% and nut flush draws 81%, while ace-king checks most of the time: suited 80%, offsuit 63%.
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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 X 53 % | AKs X 80 % | AQs B 67 % | AJs X 77 % | ATs B 68 % | A9s B 61 % | A8s B 77 % | A7s B 83 % | A6s B 62 % | A5s B 61 % | A4s B 76 % | A3s B 80 % | A2s B 91 % |
| K | AKo X 63 % | KK B 57 % | KQs B 84 % | KJs B 52 % | KTs B 66 % | K9s B 91 % | K8s B 90 % | K7s B 93 % | K6s B 94 % | K5s B 89 % | K4s B 70 % | K3s Not in this range here | K2s B 98 % |
| Q | AQo X 61 % | KQo B 72 % | QQ X 52 % | QJs X 64 % | QTs Not in this range here | 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 X 85 % | KJo B 56 % | QJo Not in this range here | JJ X 73 % | 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 Not in this range here | JTo Not in this range here | TT B 85 % | T9s X 85 % | 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 X 88 % | 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 X 89 % | 87s B 74 % | 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 X 84 % | 76s X 56 % | 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 X 96 % | 65s B 69 % | 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 Not in this range here | 54s X 99 % | 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 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 |
- Check: 45.95% of the range (44.14 combos)
- Bet 0.63 pot (11 bb): 54.05% of the range (51.93 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 0.63 pot (11 bb) |
|---|---|---|---|
| AA | 5.996 | 53.4% | 46.6% |
| AKs | 4 | 79.9% | 20.1% |
| AQs | 2.066 | 32.8% | 67.2% |
| AJs | 0.229 | 76.8% | 23.2% |
| ATs | 0.772 | 31.6% | 68.4% |
| A9s | 2.26 | 38.7% | 61.3% |
| A8s | 1.223 | 23.3% | 76.7% |
| A7s | 2.095 | 17.3% | 82.7% |
| A6s | 1.804 | 38.3% | 61.7% |
| A5s | 2.213 | 38.7% | 61.3% |
| A4s | 2.78 | 24.3% | 75.7% |
| A3s | 3.994 | 20.0% | 80.0% |
| A2s | 0.794 | 9.4% | 90.6% |
| AKo | 11.736 | 63.0% | 37.0% |
| KK | 5.999 | 43.4% | 56.6% |
| KQs | 0.705 | 16.1% | 83.9% |
| KJs | 2.188 | 48.2% | 51.8% |
| KTs | 1.675 | 34.1% | 65.9% |
| K9s | 1.27 | 8.8% | 91.2% |
| K8s | 0.2 | 9.9% | 90.1% |
| K7s | 1.282 | 7.4% | 92.6% |
| K6s | 0.57 | 6.0% | 94.0% |
| K5s | 1.69 | 10.6% | 89.4% |
| K4s | 0.453 | 30.3% | 69.7% |
| K2s | 0.002 | 1.9% | 98.1% |
| AQo | 9.084 | 61.1% | 38.9% |
| KQo | 11.774 | 28.2% | 71.8% |
| 5.29 | 52.2% | 47.8% | |
| QJs | 3.426 | 63.9% | 36.1% |
| AJo | 0.013 | 85.1% | 14.9% |
| KJo | 0.016 | 44.3% | 55.7% |
| JJ | 1.369 | 73.2% | 26.8% |
| TT | 1.185 | 15.0% | 85.0% |
| T9s | 0.043 | 84.7% | 15.3% |
| 99 | 1.984 | 87.7% | 12.3% |
| 88 | 1.01 | 89.4% | 10.6% |
| 87s | 0.07 | 25.6% | 74.4% |
| 77 | 0.806 | 83.8% | 16.2% |
| 76s | 0.515 | 56.1% | 43.9% |
| 66 | 0.511 | 96.0% | 4.0% |
| 65s | 0.627 | 31.0% | 69.0% |
| 54s | 0.354 | 99.2% | 0.8% |
Ranges, pot and stacks
- The hand so far: 6-max cash, 100 big blinds · UTG opens to 2.5 bb, button 3-bets to 8 bb, UTG calls · Flop T♥ 5♥ 4♥: UTG checks · Pot 17.5 bb · Button to act, 92 bb behind
- Pot at this decision, including the bets in front: 17.5 bb
- The button: 92 bb behind
- UTG: 92 bb behind
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA 100 % | AKs 100 % | AQs 52 % | AJs 6 % | ATs 26 % | A9s 56 % | A8s 31 % | A7s 52 % | A6s 45 % | A5s 74 % | A4s 93 % | A3s 100 % | A2s 20 % |
| K | AKo 98 % | KK 100 % | KQs 18 % | KJs 55 % | KTs 56 % | K9s 32 % | K8s 5 % | K7s 32 % | K6s 14 % | K5s 56 % | K4s 15 % | K3s Not in this range here | K2s <1 % |
| Q | AQo 76 % | KQo 98 % | QQ 88 % | QJs 86 % | QTs Not in this range here | 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 <1 % | KJo <1 % | QJo Not in this range here | JJ 23 % | 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 Not in this range here | JTo Not in this range here | TT 40 % | T9s 1 % | 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 33 % | 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 17 % | 87s 2 % | 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 13 % | 76s 13 % | 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 9 % | 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 Not in this range here | 54s 12 % | 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 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.
| 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 100 % | AJs 34 % | ATs 25 % | 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 13 % | A4s <1 % | A3s Not in this range here | A2s Not in this range here |
| K | AKo 27 % | KK Not in this range here | KQs 34 % | KJs 6 % | KTs 2 % | 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 Not in this range here | KQo Not in this range here | QQ 38 % | QJs Not in this range here | QTs Not in this range here | 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 83 % | JTs 24 % | 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 38 % | T9s 9 % | 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 36 % | 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 31 % | 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 31 % | 76s 8 % | 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 25 % | 65s 23 % | 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 20 % | 54s 18 % | 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 5 % | 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.
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 15 bb and 2.5 bb opens. It allows one bet size at each decision. Here the button's c-bet is 0.63 times the pot. 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
-
R2.5-F-F-R8-F-F-C·flop X - Solver notation
-
Th5h4h. 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.