6♣ 5♦ 4♥: combos by range
How many sets, two pair, top pairs and draws each of four stated ranges holds on 6♣ 5♦ 4♥, next to any two cards. Every combo is dealt against the deck with the flop removed; nothing is sampled.
On 6♣ 5♦ 4♥, a low straight board that tight ranges barely touch. Counted exactly, the Calling Station arrives with the most two pair or better (6.5% of its live combos) and the Nit the least (0.0%). Any two cards make two pair or better 7.1% of the time: the baseline a range is above or below on this board. The Maniac misses most often: 63.6% of its combos have no pair and no draw. The Maniac holds the most draws without a pair (8.7%).
Every bucket, every range
| What they hold | Nit | Calling Station | Maniac | Reg | Any two cards |
|---|---|---|---|---|---|
| Two pair or better | – | 15 6.5% | 17 5.3% | 10 6.1% | 84 7.1% |
| Straight | – | 4 1.7% | 4 1.2% | 4 2.5% | 48 4.1% |
| Set | – | 9 3.9% | 9 2.8% | 6 3.7% | 9 0.8% |
| Two pair | – | 2 0.9% | 4 1.2% | – | 27 2.3% |
| One pair | 30 60.0% | 63 27.4% | 72 22.4% | 57 35.0% | 420 35.7% |
| Overpair | 30 60.0% | 48 20.9% | 48 15.0% | 48 29.4% | 48 4.1% |
| Top pair | – | 3 1.3% | 6 1.9% | 3 1.8% | 120 10.2% |
| Pocket pair below the top card | – | 12 5.2% | 12 3.7% | – | 12 1.0% |
| Second pair or lower | – | – | 6 1.9% | 6 3.7% | 240 20.4% |
| Draws, no pair | – | 8 3.5% | 28 8.7% | 4 2.5% | 432 36.7% |
| Open-ended straight draw | – | – | 12 3.7% | – | 240 20.4% |
| Gutshot | – | 8 3.5% | 16 5.0% | 4 2.5% | 192 16.3% |
| No pair, no draw | 20 40.0% | 144 62.6% | 204 63.6% | 92 56.4% | 240 20.4% |
| Two overcards | 20 40.0% | 144 62.6% | 204 63.6% | 92 56.4% | 240 20.4% |
| Live combos | 50 of 50 | 230 of 242 | 321 of 338 | 163 of 172 | 1176 of 1326 |
Count, then share of that range’s live combos. Each combo sits in its strongest bucket only. Set combos across the stated ranges: Nit 0, Calling Station 9, Maniac 9, Reg 6.
The deck-wide counting
Before any range comes into it, the board fixes how many combos of the big hands exist at all. Each board card leaves three of its rank in the deck:
66: 3 sixes left, C(3, 2) = 3 combos of a set 55: 3 fives left, C(3, 2) = 3 combos of a set 44: 3 fours left, C(3, 2) = 3 combos of a set 65: 3 × 3 = 9 combos of two pair 64: 3 × 3 = 9 combos of two pair 54: 3 × 3 = 9 combos of two pair
Which hands, range by range
Nit: 50 live combos
- Overpair 30
- AA ×6KK ×6QQ ×6JJ ×6TT ×6
- Two overcards 20
- AKs ×4AQs ×4AKo ×12
Open this in the counter to add your own hand as blockers.
Calling Station: 230 live combos
- Straight 4
- 87s ×4
- Set 9
- 66 ×355 ×344 ×3
- Two pair 2
- 65s ×2
- Overpair 48
- AA ×6KK ×6QQ ×6JJ ×6TT ×699 ×688 ×677 ×6
- Top pair 3
- 76s ×3
- Pocket pair below the top card 12
- 33 ×622 ×6
- Gutshot 8
- A8s ×498s ×4
- Two overcards 144
- AKs ×4AQs ×4AJs ×4ATs ×4A9s ×4KQs ×4KJs ×4KTs ×4QJs ×4QTs ×4JTs ×4T9s ×4AKo ×12AQo ×12AJo ×12ATo ×12KQo ×12KJo ×12QJo ×12JTo ×12
Open this in the counter to add your own hand as blockers.
Maniac: 321 live combos
- Straight 4
- 87s ×4
- Set 9
- 66 ×355 ×344 ×3
- Two pair 4
- 65s ×254s ×2
- Overpair 48
- AA ×6KK ×6QQ ×6JJ ×6TT ×699 ×688 ×677 ×6
- Top pair 6
- A6s ×376s ×3
- Pocket pair below the top card 12
- 33 ×622 ×6
- Second pair or lower 6
- A5s ×3A4s ×3
- Open-ended straight draw 12
- A7s ×4A3s ×497s ×4
- Gutshot 16
- A8s ×4A2s ×4T8s ×498s ×4
- Two overcards 204
- AKs ×4AQs ×4AJs ×4ATs ×4A9s ×4KQs ×4KJs ×4KTs ×4K9s ×4QJs ×4QTs ×4Q9s ×4JTs ×4J9s ×4T9s ×4AKo ×12AQo ×12AJo ×12ATo ×12A9o ×12KQo ×12KJo ×12KTo ×12QJo ×12QTo ×12JTo ×12T9o ×12
Open this in the counter to add your own hand as blockers.
Reg: 163 live combos
- Straight 4
- 87s ×4
- Set 6
- 66 ×355 ×3
- Overpair 48
- AA ×6KK ×6QQ ×6JJ ×6TT ×699 ×688 ×677 ×6
- Top pair 3
- 76s ×3
- Second pair or lower 6
- A5s ×3A4s ×3
- Gutshot 4
- 98s ×4
- Two overcards 92
- AKs ×4AQs ×4AJs ×4ATs ×4KQs ×4KJs ×4KTs ×4QJs ×4QTs ×4JTs ×4T9s ×4AKo ×12AQo ×12AJo ×12KQo ×12
Open this in the counter to add your own hand as blockers.
Counted flops: four ranges side by side
- A♠ 7♦ 2♣ dry ace-high, rainbow→
- K♠ 8♦ 3♣ dry king-high, rainbow→
- Q♥ J♥ T♣ broadway, two-tone→
- 9♠ 8♠ 7♦ middling and connected, two-tone→
- J♦ 7♦ 2♦ monotone→
- 8♠ 8♦ 3♣ paired low, rainbow→
- K♠ K♥ 5♠ paired king-high, two-tone→
- A♦ K♣ Q♥ three broadway cards, rainbow→
- T♣ 9♣ 4♥ middling, two-tone→
The counting behind it
- The counts are exact. Every combo in the range is dealt against the deck with the board and your cards removed. Nothing is sampled or rounded until display.
- The ranges are assumptions. The four opponents are stated ranges, printed in full on /opponents so they can be argued with. They are not solver output, and nobody arrives on the flop with exactly these hands. Paste your own range into the counter to count yours.
- Each combo is counted once, in its strongest bucket: top pair with a flush draw counts as top pair. Draws are only listed for hands without a pair.
- Straight draws are counted by ranks: two ranks that complete a straight is open-ended (a double gutter counts), one is a gutshot. Board-only straights and flushes that need none of your cards do not count as draws.
- Combos are not equity. A range with more sets is not automatically ahead: the equity calculator and spot check deal the run-outs.