// combos · counted flop

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.

Flop
T♣9♣4♥
Texture
middling, two-tone
Nit: two pair+6.4%3 of 47 combos
Calling Station: two pair+5.5%12 of 220 combos
Maniac: two pair+6.1%18 of 294 combos
Reg: two pair+5.7%9 of 159 combos

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

Live combos by made hand on T♣ 9♣ 4♥
What they holdNitCalling StationManiacRegAny two cards
Two pair or better3 6.4%12 5.5%18 6.1%9 5.7%36 3.1%
Set3 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 pair24 51.1%96 43.6%144 49.0%66 41.5%420 35.7%
Overpair24 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 pair2 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 draw2 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 draw18 38.3%51 23.2%66 22.4%48 30.2%540 45.9%
Two overcards18 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 combos47 of 50220 of 242294 of 338159 of 1721176 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

The counting behind it

// what is counted and what is assumed
  • 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.