Solver answer
Should UTG c-bet a K-Q-6 flop?
6-max cash, 100 big blinds · UTG opens, big blind calls · Flop K♠ Q♦ 6♣ · Big blind checks · UTG to act
Updated
The solver's answer
UTG's whole range
Bet 86% Check 14%
⅓ pot · 1.8 bb
UTG bets most of its range, all for a third of the pot, the only size this solution offers.
K♠Q♦6♣
- Pot
- 5.5 bb
- Behind
- 97.5 bb
- Big blind
- Checks
In a 6-max cash game at 100 big blinds, after UTG opens to 2.5 bb and the big blind calls, then checks a K♠ Q♦ 6♣ flop, UTG bets a third of the pot (1.8 bb) with 86% of its range and checks 14%, according to a solver answer published free by Poker Skill.
Why UTG bets 86% of its range
- It has the range advantage: its range has 61% equity against the big blind's 39%.
- It has the nut advantage too. Only UTG holds pocket aces and pocket kings (6 and 3 combinations), and kings make the top set. The big blind's range, built from calls, has neither and holds fewer sets and two pair in all.
- With both edges it bets nearly everything: even ace-high bets 90% of the time and hands with no pair 88%.
- Its pairs below top pair check the most: second pair 23% of the time, third pair 24% and underpairs 25%. They are medium-strength hands that make good bluff-catchers.
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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 B 93 % | AKs B 97 % | AQs B 87 % | AJs B 97 % | ATs B 94 % | A9s B 93 % | A8s B 88 % | A7s B 87 % | A6s B 95 % | A5s B 94 % | A4s B 94 % | A3s B 87 % | A2s B 94 % |
| K | AKo B 86 % | KK B 97 % | KQs B 94 % | KJs B 96 % | KTs B 91 % | K9s B 83 % | K8s B 84 % | K7s B 78 % | K6s B 78 % | K5s B 73 % | K4s X 72 % | K3s Not in this range here | K2s Not in this range here |
| Q | AQo B 69 % | KQo B 100 % | QQ B 92 % | QJs B 84 % | QTs B 77 % | Q9s B 80 % | 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 B 87 % | KJo B 92 % | QJo B 90 % | JJ B 72 % | JTs B 91 % | 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 B 87 % | KTo B 94 % | QTo Not in this range here | JTo Not in this range here | TT B 67 % | T9s B 93 % | 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 B 93 % | 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 B 67 % | 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 B 78 % | 87s X 54 % | 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 B 84 % | 76s B 96 % | 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 B 100 % | 65s B 99 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o B 96 % | 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 B 81 % | 54s B 64 % | 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 B 50 % | 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: 13.78% of the range (26.61 combos)
- Bet ⅓ pot (1.8 bb): 86.22% of the range (166.47 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 ⅓ pot (1.8 bb) |
|---|---|---|---|
| AA | 6 | 7.4% | 92.6% |
| AKs | 3 | 2.8% | 97.2% |
| AQs | 3 | 13.5% | 86.5% |
| AJs | 4 | 2.6% | 97.4% |
| ATs | 4 | 6.3% | 93.7% |
| A9s | 4 | 7.0% | 93.0% |
| A8s | 4 | 11.7% | 88.3% |
| A7s | 4 | 13.5% | 86.5% |
| A6s | 3 | 5.3% | 94.7% |
| A5s | 4 | 6.1% | 93.9% |
| A4s | 4 | 6.2% | 93.8% |
| A3s | 4 | 12.7% | 87.3% |
| A2s | 4 | 5.6% | 94.4% |
| AKo | 9 | 14.0% | 86.0% |
| KK | 2.999 | 2.8% | 97.2% |
| KQs | 2 | 5.6% | 94.4% |
| KJs | 3 | 4.5% | 95.5% |
| KTs | 3 | 9.5% | 90.5% |
| K9s | 2.999 | 17.3% | 82.7% |
| K8s | 2.995 | 15.7% | 84.3% |
| K7s | 2.955 | 21.9% | 78.1% |
| K6s | 1.735 | 21.7% | 78.3% |
| K5s | 2.998 | 27.1% | 72.9% |
| K4s | 0.076 | 72.0% | 28.0% |
| AQo | 9 | 31.5% | 68.5% |
| KQo | 7 | 0.3% | 99.7% |
| 3 | 8.1% | 91.9% | |
| QJs | 3 | 15.6% | 84.4% |
| QTs | 3 | 23.3% | 76.7% |
| Q9s | 2.115 | 19.6% | 80.4% |
| AJo | 12 | 12.8% | 87.2% |
| KJo | 8.995 | 8.1% | 91.9% |
| QJo | 1.736 | 10.3% | 89.7% |
| JJ | 6 | 27.9% | 72.1% |
| JTs | 3.975 | 8.7% | 91.3% |
| ATo | 11.996 | 12.9% | 87.1% |
| KTo | 5.585 | 6.2% | 93.8% |
| TT | 6 | 33.1% | 66.9% |
| T9s | 0.38 | 6.8% | 93.2% |
| A9o | 1.706 | 7.1% | 92.9% |
| 99 | 6 | 33.5% | 66.5% |
| 88 | 6 | 21.6% | 78.4% |
| 87s | 0.02 | 53.9% | 46.1% |
| 77 | 3.964 | 16.3% | 83.7% |
| 76s | 0.238 | 4.4% | 95.6% |
| 66 | 0.741 | 0.1% | 99.9% |
| 65s | 0.695 | 1.3% | 98.7% |
| A5o | 2.993 | 4.0% | 96.0% |
| 55 | 1.197 | 18.8% | 81.2% |
| 54s | 0.703 | 35.9% | 64.1% |
| 44 | 0.283 | 49.6% | 50.4% |
Ranges, pot and stacks
- The hand so far: 6-max cash, 100 big blinds · UTG opens to 2.5 bb, big blind calls · Flop K♠ Q♦ 6♣: big blind checks · Pot 5.5 bb · UTG to act, 97.5 bb behind
- Pot at this decision, including the bets in front: 5.5 bb
- UTG: 97.5 bb behind
- The big blind: 97.5 bb behind
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA 100 % | AKs 100 % | AQs 100 % | AJs 100 % | ATs 100 % | A9s 100 % | A8s 100 % | A7s 100 % | A6s 100 % | A5s 100 % | A4s 100 % | A3s 100 % | A2s 100 % |
| K | AKo 100 % | KK 100 % | KQs 100 % | KJs 100 % | KTs 100 % | K9s 100 % | K8s 100 % | K7s 99 % | K6s 87 % | K5s 100 % | K4s 3 % | K3s Not in this range here | K2s Not in this range here |
| Q | AQo 100 % | KQo 100 % | QQ 100 % | QJs 100 % | QTs 100 % | Q9s 71 % | 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 100 % | KJo 100 % | QJo 19 % | JJ 100 % | JTs 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 100 % | KTo 62 % | QTo Not in this range here | JTo Not in this range here | TT 100 % | T9s 10 % | 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 14 % | K9o Not in this range here | Q9o Not in this range here | J9o Not in this range here | T9o Not in this range here | 99 100 % | 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 | 88 100 % | 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 66 % | 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 25 % | 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.
| 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 98 % | AJs 100 % | ATs 100 % | A9s 100 % | A8s 99 % | A7s 67 % | A6s 42 % | A5s 92 % | A4s 56 % | A3s 25 % | A2s 43 % |
| K | AKo 24 % | KK Not in this range here | KQs 100 % | KJs 100 % | KTs 100 % | K9s 84 % | K8s 69 % | K7s 58 % | K6s 1 % | K5s <1 % | K4s Not in this range here | K3s Not in this range here | K2s Not in this range here |
| Q | AQo 100 % | KQo 77 % | QQ 76 % | QJs 80 % | QTs 99 % | Q9s 52 % | 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 96 % | KJo 52 % | QJo 11 % | JJ 100 % | JTs 100 % | J9s 100 % | J8s 6 % | 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 60 % | KTo Not in this range here | QTo Not in this range here | JTo Not in this range here | TT 99 % | T9s 99 % | T8s 100 % | T7s 14 % | 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 | 99 100 % | 98s 100 % | 97s 100 % | 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 98 % | 87s 80 % | 86s 97 % | 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 95 % | 76s 88 % | 75s 93 % | 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 93 % | 65s 99 % | 64s 94 % | 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 91 % | 54s 99 % | 53s 71 % | 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 | 44 100 % | 43s 72 % | 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 | 33 100 % | 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 | 22 100 % |
Each cell shows the share of the class's possible combos in the range.