// combos · counted flop

A♦ K♣ Q♥: combos by range

How many sets, two pair, top pairs and draws each of four stated ranges holds on A♦ K♣ Q♥, next to any two cards. Every combo is dealt against the deck with the flop removed; nothing is sampled.

Flop

A♦K♣Q♥

Texture

three broadway cards, rainbow

Nit: two pair+62.5%20 of 32 combos

Calling Station: two pair+27.1%52 of 192 combos

Maniac: two pair+19.2%52 of 271 combos

Reg: two pair+30.5%40 of 131 combos

On A♦ K♣ Q♥, the board where tight ranges have everything. Counted exactly, the Nit arrives with the most two pair or better (62.5% of its live combos) and the Maniac the least (19.2%). Any two cards make two pair or better 4.4% of the time: the baseline a range is above or below on this board. The Reg misses most often: 9.2% of its combos have no pair and no draw. The Maniac holds the most draws without a pair (8.9%).

Every bucket, every range

Live combos by made hand on A♦ K♣ Q♥
What they hold	Nit	Calling Station	Maniac	Reg	Any two cards
Two pair or better	20 62.5%	52 27.1%	52 19.2%	40 30.5%	52 4.4%
Straight	–	16 8.3%	16 5.9%	4 3.1%	16 1.4%
Set	9 28.1%	9 4.7%	9 3.3%	9 6.9%	9 0.8%
Two pair	11 34.4%	27 14.1%	27 10.0%	27 20.6%	27 2.3%
One pair	12 37.5%	120 62.5%	171 63.1%	75 57.3%	420 35.7%
Top pair	–	30 15.6%	57 21.0%	21 16.0%	120 10.2%
Pocket pair below the top card	12 37.5%	60 31.3%	60 22.1%	42 32.1%	60 5.1%
Second pair or lower	–	30 15.6%	54 19.9%	12 9.2%	240 20.4%
Draws, no pair	–	4 2.1%	24 8.9%	4 3.1%	256 21.8%
Gutshot	–	4 2.1%	24 8.9%	4 3.1%	256 21.8%
No pair, no draw	–	16 8.3%	24 8.9%	12 9.2%	448 38.1%
Nothing	–	16 8.3%	24 8.9%	12 9.2%	448 38.1%
Live combos	32 of 50	192 of 242	271 of 338	131 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 9, Calling Station 9, Maniac 9, Reg 9.

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:

AA: 3 aces left, C(3, 2) = 3 combos of a set
KK: 3 kings left, C(3, 2) = 3 combos of a set
QQ: 3 queens left, C(3, 2) = 3 combos of a set
AK: 3 × 3 = 9 combos of two pair
AQ: 3 × 3 = 9 combos of two pair
KQ: 3 × 3 = 9 combos of two pair

Which hands, range by range

Nit: 32 live combos

Set 9: AA ×3KK ×3QQ ×3
Two pair 11: AKs ×2AQs ×2AKo ×7
Pocket pair below the top card 12: JJ ×6TT ×6

Open this in the counter to add your own hand as blockers.

Calling Station: 192 live combos

Straight 16: JTs ×4JTo ×12
Set 9: AA ×3KK ×3QQ ×3
Two pair 27: AKs ×2AQs ×2KQs ×2AKo ×7AQo ×7KQo ×7
Top pair 30: AJs ×3ATs ×3A9s ×3A8s ×3AJo ×9ATo ×9
Pocket pair below the top card 60: JJ ×6TT ×699 ×688 ×677 ×666 ×655 ×644 ×633 ×622 ×6
Second pair or lower 30: KJs ×3KTs ×3QJs ×3QTs ×3KJo ×9QJo ×9
Gutshot 4: T9s ×4
Nothing 16: 98s ×487s ×476s ×465s ×4

Open this in the counter to add your own hand as blockers.

Maniac: 271 live combos

Straight 16: JTs ×4JTo ×12
Set 9: AA ×3KK ×3QQ ×3
Two pair 27: AKs ×2AQs ×2KQs ×2AKo ×7AQo ×7KQo ×7
Top pair 57: AJs ×3ATs ×3A9s ×3A8s ×3A7s ×3A6s ×3A5s ×3A4s ×3A3s ×3A2s ×3AJo ×9ATo ×9A9o ×9
Pocket pair below the top card 60: JJ ×6TT ×699 ×688 ×677 ×666 ×655 ×644 ×633 ×622 ×6
Second pair or lower 54: KJs ×3KTs ×3K9s ×3QJs ×3QTs ×3Q9s ×3KJo ×9KTo ×9QJo ×9QTo ×9
Gutshot 24: J9s ×4T9s ×4T8s ×4T9o ×12
Nothing 24: 98s ×497s ×487s ×476s ×465s ×454s ×4

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Reg: 131 live combos

Straight 4: JTs ×4
Set 9: AA ×3KK ×3QQ ×3
Two pair 27: AKs ×2AQs ×2KQs ×2AKo ×7AQo ×7KQo ×7
Top pair 21: AJs ×3ATs ×3A5s ×3A4s ×3AJo ×9
Pocket pair below the top card 42: JJ ×6TT ×699 ×688 ×677 ×666 ×655 ×6
Second pair or lower 12: KJs ×3KTs ×3QJs ×3QTs ×3
Gutshot 4: T9s ×4
Nothing 12: 98s ×487s ×476s ×4

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.