T♣ 9♣ 4♥: combos by range
How many sets, two pair, top pairs and draws each of four stated ranges holds on T♣ 9♣ 4♥, next to any two cards. Every combo is dealt against the deck with the flop removed; nothing is sampled.
On T♣ 9♣ 4♥, a mid board with flush and straight draws but few made hands. Counted exactly, the Nit arrives with the most two pair or better (6.4% of its live combos) and the Calling Station the least (5.5%). 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 Nit misses most often: 38.3% of its combos have no pair and no draw. The Calling Station holds the most draws without a pair (27.7%).
Every bucket, every range
| What they hold | Nit | Calling Station | Maniac | Reg | Any two cards |
|---|---|---|---|---|---|
| Two pair or better | 3 6.4% | 12 5.5% | 18 6.1% | 9 5.7% | 36 3.1% |
| Set | 3 6.4% | 9 4.1% | 9 3.1% | 6 3.8% | 9 0.8% |
| Two pair | – | 3 1.4% | 9 3.1% | 3 1.9% | 27 2.3% |
| One pair | 24 51.1% | 96 43.6% | 144 49.0% | 66 41.5% | 420 35.7% |
| Overpair | 24 51.1% | 24 10.9% | 24 8.2% | 24 15.1% | 24 2.0% |
| Top pair | – | 30 13.6% | 51 17.3% | 12 7.5% | 120 10.2% |
| Pocket pair below the top card | – | 36 16.4% | 36 12.2% | 24 15.1% | 36 3.1% |
| Second pair or lower | – | 6 2.7% | 33 11.2% | 6 3.8% | 240 20.4% |
| Draws, no pair | 2 4.3% | 61 27.7% | 66 22.4% | 36 22.6% | 180 15.3% |
| Flush draw + straight draw | – | 2 0.9% | 2 0.7% | 2 1.3% | 3 0.3% |
| Flush draw | 2 4.3% | 8 3.6% | 13 4.4% | 7 4.4% | 42 3.6% |
| Open-ended straight draw | – | 18 8.2% | 18 6.1% | 6 3.8% | 45 3.8% |
| Gutshot | – | 33 15.0% | 33 11.2% | 21 13.2% | 90 7.7% |
| No pair, no draw | 18 38.3% | 51 23.2% | 66 22.4% | 48 30.2% | 540 45.9% |
| Two overcards | 18 38.3% | 45 20.5% | 45 15.3% | 45 28.3% | 45 3.8% |
| Nothing | – | 6 2.7% | 21 7.1% | 3 1.9% | 495 42.1% |
| Live combos | 47 of 50 | 220 of 242 | 294 of 338 | 159 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:
TT: 3 tens left, C(3, 2) = 3 combos of a set 99: 3 nines left, C(3, 2) = 3 combos of a set 44: 3 fours left, C(3, 2) = 3 combos of a set T9: 3 × 3 = 9 combos of two pair T4: 3 × 3 = 9 combos of two pair 94: 3 × 3 = 9 combos of two pair
Which hands, range by range
Nit: 47 live combos
- Set 3
- TT ×3
- Overpair 24
- AA ×6KK ×6QQ ×6JJ ×6
- Flush draw 2
- AKs ×1AQs ×1
- Two overcards 18
- AKs ×3AQs ×3AKo ×12
Open this in the counter to add your own hand as blockers.
Calling Station: 220 live combos
- Set 9
- TT ×399 ×344 ×3
- Two pair 3
- T9s ×3
- Overpair 24
- AA ×6KK ×6QQ ×6JJ ×6
- Top pair 30
- ATs ×3KTs ×3QTs ×3JTs ×3ATo ×9JTo ×9
- Pocket pair below the top card 36
- 88 ×677 ×666 ×655 ×633 ×622 ×6
- Second pair or lower 6
- A9s ×398s ×3
- Flush draw + straight draw 2
- QJs ×187s ×1
- Flush draw 8
- AKs ×1AQs ×1AJs ×1A8s ×1KQs ×1KJs ×176s ×165s ×1
- Open-ended straight draw 18
- QJs ×387s ×3QJo ×12
- Gutshot 33
- KQs ×3KJs ×376s ×3KQo ×12KJo ×12
- Two overcards 45
- AKs ×3AQs ×3AJs ×3AKo ×12AQo ×12AJo ×12
- Nothing 6
- A8s ×365s ×3
Open this in the counter to add your own hand as blockers.
Maniac: 294 live combos
- Set 9
- TT ×399 ×344 ×3
- Two pair 9
- T9s ×3T9o ×6
- Overpair 24
- AA ×6KK ×6QQ ×6JJ ×6
- Top pair 51
- ATs ×3KTs ×3QTs ×3JTs ×3T8s ×3ATo ×9KTo ×9QTo ×9JTo ×9
- Pocket pair below the top card 36
- 88 ×677 ×666 ×655 ×633 ×622 ×6
- Second pair or lower 33
- A9s ×3A4s ×3K9s ×3Q9s ×3J9s ×398s ×397s ×354s ×3A9o ×9
- Flush draw + straight draw 2
- QJs ×187s ×1
- Flush draw 13
- AKs ×1AQs ×1AJs ×1A8s ×1A7s ×1A6s ×1A5s ×1A3s ×1A2s ×1KQs ×1KJs ×176s ×165s ×1
- Open-ended straight draw 18
- QJs ×387s ×3QJo ×12
- Gutshot 33
- KQs ×3KJs ×376s ×3KQo ×12KJo ×12
- Two overcards 45
- AKs ×3AQs ×3AJs ×3AKo ×12AQo ×12AJo ×12
- Nothing 21
- A8s ×3A7s ×3A6s ×3A5s ×3A3s ×3A2s ×365s ×3
Open this in the counter to add your own hand as blockers.
Reg: 159 live combos
- Set 6
- TT ×399 ×3
- Two pair 3
- T9s ×3
- Overpair 24
- AA ×6KK ×6QQ ×6JJ ×6
- Top pair 12
- ATs ×3KTs ×3QTs ×3JTs ×3
- Pocket pair below the top card 24
- 88 ×677 ×666 ×655 ×6
- Second pair or lower 6
- A4s ×398s ×3
- Flush draw + straight draw 2
- QJs ×187s ×1
- Flush draw 7
- AKs ×1AQs ×1AJs ×1A5s ×1KQs ×1KJs ×176s ×1
- Open-ended straight draw 6
- QJs ×387s ×3
- Gutshot 21
- KQs ×3KJs ×376s ×3KQo ×12
- Two overcards 45
- AKs ×3AQs ×3AJs ×3AKo ×12AQo ×12AJo ×12
- Nothing 3
- A5s ×3
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→
- 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→
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.