// combos · counted flop

A♠ 7♦ 2♣: combos by range

How many sets, two pair, top pairs and draws each of four stated ranges holds on A♠ 7♦ 2♣, next to any two cards. Every combo is dealt against the deck with the flop removed; nothing is sampled.

Flop

A♠7♦2♣

Texture

dry ace-high, rainbow

Nit: two pair+7.1%3 of 42 combos

Calling Station: two pair+4.2%9 of 213 combos

Maniac: two pair+4.4%13 of 297 combos

Reg: two pair+4.0%6 of 149 combos

On A♠ 7♦ 2♣, the textbook dry board: one high card, no draws to speak of. Counted exactly, the Nit arrives with the most two pair or better (7.1% of its live combos) and the Reg the least (4.0%). 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: 45.8% of its combos have no pair and no draw. The Maniac holds the most draws without a pair (1.3%).

Every bucket, every range

Live combos by made hand on A♠ 7♦ 2♣
What they hold	Nit	Calling Station	Maniac	Reg	Any two cards
Two pair or better	3 7.1%	9 4.2%	13 4.4%	6 4.0%	36 3.1%
Set	3 7.1%	9 4.2%	9 3.0%	6 4.0%	9 0.8%
Two pair	–	–	4 1.3%	–	27 2.3%
One pair	39 92.9%	120 56.3%	144 48.5%	99 66.4%	420 35.7%
Top pair	15 35.7%	54 25.4%	75 25.3%	45 30.2%	120 10.2%
Pocket pair below the top card	24 57.1%	60 28.2%	60 20.2%	48 32.2%	60 5.1%
Second pair or lower	–	6 2.8%	9 3.0%	6 4.0%	240 20.4%
Draws, no pair	–	–	4 1.3%	–	48 4.1%
Gutshot	–	–	4 1.3%	–	48 4.1%
No pair, no draw	–	84 39.4%	136 45.8%	44 29.5%	672 57.1%
Nothing	–	84 39.4%	136 45.8%	44 29.5%	672 57.1%
Live combos	42 of 50	213 of 242	297 of 338	149 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:

AA: 3 aces left, C(3, 2) = 3 combos of a set
77: 3 sevens left, C(3, 2) = 3 combos of a set
22: 3 twos left, C(3, 2) = 3 combos of a set
A7: 3 × 3 = 9 combos of two pair
A2: 3 × 3 = 9 combos of two pair
72: 3 × 3 = 9 combos of two pair

Which hands, range by range

Nit: 42 live combos

Set 3: AA ×3
Top pair 15: AKs ×3AQs ×3AKo ×9
Pocket pair below the top card 24: KK ×6QQ ×6JJ ×6TT ×6

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

Calling Station: 213 live combos

Set 9: AA ×377 ×322 ×3
Top pair 54: AKs ×3AQs ×3AJs ×3ATs ×3A9s ×3A8s ×3AKo ×9AQo ×9AJo ×9ATo ×9
Pocket pair below the top card 60: KK ×6QQ ×6JJ ×6TT ×699 ×688 ×666 ×655 ×644 ×633 ×6
Second pair or lower 6: 87s ×376s ×3
Nothing 84: KQs ×4KJs ×4KTs ×4QJs ×4QTs ×4JTs ×4T9s ×498s ×465s ×4KQo ×12KJo ×12QJo ×12JTo ×12

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

Maniac: 297 live combos

Set 9: AA ×377 ×322 ×3
Two pair 4: A7s ×2A2s ×2
Top pair 75: AKs ×3AQs ×3AJs ×3ATs ×3A9s ×3A8s ×3A6s ×3A5s ×3A4s ×3A3s ×3AKo ×9AQo ×9AJo ×9ATo ×9A9o ×9
Pocket pair below the top card 60: KK ×6QQ ×6JJ ×6TT ×699 ×688 ×666 ×655 ×644 ×633 ×6
Second pair or lower 9: 97s ×387s ×376s ×3
Gutshot 4: 54s ×4
Nothing 136: KQs ×4KJs ×4KTs ×4K9s ×4QJs ×4QTs ×4Q9s ×4JTs ×4J9s ×4T9s ×4T8s ×498s ×465s ×4KQo ×12KJo ×12KTo ×12QJo ×12QTo ×12JTo ×12T9o ×12

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

Reg: 149 live combos

Set 6: AA ×377 ×3
Top pair 45: AKs ×3AQs ×3AJs ×3ATs ×3A5s ×3A4s ×3AKo ×9AQo ×9AJo ×9
Pocket pair below the top card 48: KK ×6QQ ×6JJ ×6TT ×699 ×688 ×666 ×655 ×6
Second pair or lower 6: 87s ×376s ×3
Nothing 44: KQs ×4KJs ×4KTs ×4QJs ×4QTs ×4JTs ×4T9s ×498s ×4KQo ×12

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.