K♠ 8♦ 3♣: combos by range
How many sets, two pair, top pairs and draws each of four stated ranges holds on K♠ 8♦ 3♣, next to any two cards. Every combo is dealt against the deck with the flop removed; nothing is sampled.
On K♠ 8♦ 3♣, a king-high board where the ace-heavy ranges miss. Counted exactly, the Nit arrives with the most two pair or better (7.0% of its live combos) and the Maniac the least (2.9%). Any two cards make two pair or better 3.1% of the time: the baseline a range is above or below on this board. The Maniac misses most often: 56.0% of its combos have no pair and no draw.
Every bucket, every range
| What they hold | Nit | Calling Station | Maniac | Reg | Any two cards |
|---|---|---|---|---|---|
| Two pair or better | 3 7.0% | 9 4.1% | 9 2.9% | 6 3.9% | 36 3.1% |
| Set | 3 7.0% | 9 4.1% | 9 2.9% | 6 3.9% | 9 0.8% |
| Two pair | – | – | – | – | 27 2.3% |
| One pair | 36 83.7% | 108 49.8% | 126 41.0% | 84 54.5% | 420 35.7% |
| Overpair | 6 14.0% | 6 2.8% | 6 2.0% | 6 3.9% | 6 0.5% |
| Top pair | 12 27.9% | 39 18.0% | 51 16.6% | 30 19.5% | 120 10.2% |
| Pocket pair below the top card | 18 41.9% | 54 24.9% | 54 17.6% | 42 27.3% | 54 4.6% |
| Second pair or lower | – | 9 4.1% | 15 4.9% | 6 3.9% | 240 20.4% |
| Draws, no pair | – | – | – | – | – |
| No pair, no draw | 4 9.3% | 100 46.1% | 172 56.0% | 64 41.6% | 720 61.2% |
| Nothing | 4 9.3% | 100 46.1% | 172 56.0% | 64 41.6% | 720 61.2% |
| Live combos | 43 of 50 | 217 of 242 | 307 of 338 | 154 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 3, 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:
KK: 3 kings left, C(3, 2) = 3 combos of a set 88: 3 eights left, C(3, 2) = 3 combos of a set 33: 3 threes left, C(3, 2) = 3 combos of a set K8: 3 × 3 = 9 combos of two pair K3: 3 × 3 = 9 combos of two pair 83: 3 × 3 = 9 combos of two pair
Which hands, range by range
Nit: 43 live combos
- Set 3
- KK ×3
- Overpair 6
- AA ×6
- Top pair 12
- AKs ×3AKo ×9
- Pocket pair below the top card 18
- QQ ×6JJ ×6TT ×6
- Nothing 4
- AQs ×4
Open this in the counter to add your own hand as blockers.
Calling Station: 217 live combos
- Set 9
- KK ×388 ×333 ×3
- Overpair 6
- AA ×6
- Top pair 39
- AKs ×3KQs ×3KJs ×3KTs ×3AKo ×9KQo ×9KJo ×9
- Pocket pair below the top card 54
- QQ ×6JJ ×6TT ×699 ×677 ×666 ×655 ×644 ×622 ×6
- Second pair or lower 9
- A8s ×398s ×387s ×3
- Nothing 100
- AQs ×4AJs ×4ATs ×4A9s ×4QJs ×4QTs ×4JTs ×4T9s ×476s ×465s ×4AQo ×12AJo ×12ATo ×12QJo ×12JTo ×12
Open this in the counter to add your own hand as blockers.
Maniac: 307 live combos
- Set 9
- KK ×388 ×333 ×3
- Overpair 6
- AA ×6
- Top pair 51
- AKs ×3KQs ×3KJs ×3KTs ×3K9s ×3AKo ×9KQo ×9KJo ×9KTo ×9
- Pocket pair below the top card 54
- QQ ×6JJ ×6TT ×699 ×677 ×666 ×655 ×644 ×622 ×6
- Second pair or lower 15
- A8s ×3A3s ×3T8s ×398s ×387s ×3
- Nothing 172
- AQs ×4AJs ×4ATs ×4A9s ×4A7s ×4A6s ×4A5s ×4A4s ×4A2s ×4QJs ×4QTs ×4Q9s ×4JTs ×4J9s ×4T9s ×497s ×476s ×465s ×454s ×4AQo ×12AJo ×12ATo ×12A9o ×12QJo ×12QTo ×12JTo ×12T9o ×12
Open this in the counter to add your own hand as blockers.
Reg: 154 live combos
- Set 6
- KK ×388 ×3
- Overpair 6
- AA ×6
- Top pair 30
- AKs ×3KQs ×3KJs ×3KTs ×3AKo ×9KQo ×9
- Pocket pair below the top card 42
- QQ ×6JJ ×6TT ×699 ×677 ×666 ×655 ×6
- Second pair or lower 6
- 98s ×387s ×3
- Nothing 64
- AQs ×4AJs ×4ATs ×4A5s ×4A4s ×4QJs ×4QTs ×4JTs ×4T9s ×476s ×4AQo ×12AJo ×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→
- Q♥ J♥ T♣ broadway, two-tone→
- 9♠ 8♠ 7♦ middling and connected, two-tone→
- 6♣ 5♦ 4♥ low and connected, rainbow→
- 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.