KQs
43.01%
Wins 42.77%, ties 0.49%
A7s
56.99%
Wins 56.74%, ties 0.49%
KQs against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 42.768 | 0.490 | 56.742 | 43.013 |
| A7s | 56.742 | 0.490 | 42.768 | 56.987 |
Two suited hands meet here: KQs against A7s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. 0.49% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, KQs sits at number 16 of 169 starting hands and A7s at number 24 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 11,717,000 | 134,000 | 15,546,000 |
| A7s | 15,546,000 | 134,000 | 11,717,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KQs | 0.755 | 2.338 | 1.762 | 1.325 |
| A7s | 1.325 | 1.762 | 2.338 | 0.755 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Split by what the flop looks like, A7s peaks at 75.19% on low rainbow flops (nine high or lower) and bottoms out at 50.72% on rainbow flops topped by a ten or better. A7s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | KQs wins | Ties | A7s wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 49.220 | 0.115 | 50.665 | 49.278 |
| Rainbow, nine or lower | 7.042 | 24.389 | 0.849 | 74.762 | 24.814 |
| Two-tone | 46.727 | 44.079 | 0.252 | 55.669 | 44.205 |
| Monotone | 5.273 | 43.888 | 3.406 | 52.706 | 45.591 |
| Paired | 17.091 | 37.403 | 0.616 | 61.981 | 37.711 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 63.40% for KQs, 60.98% for A7s. Here the change is -20.39 and -3.99 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 43.013 | 63.400 | -20.387 | 0.67844 |
| KQs, rainbow, ten or higher | 49.278 | 63.400 | -14.122 | 0.77726 |
| KQs, rainbow, nine or lower | 24.814 | 63.400 | -38.586 | 0.39139 |
| KQs, two-tone | 44.205 | 63.400 | -19.195 | 0.69724 |
| KQs, monotone | 45.591 | 63.400 | -17.809 | 0.71910 |
| KQs, paired | 37.711 | 63.400 | -25.689 | 0.59481 |
| A7s, all flops | 56.987 | 60.984 | -3.997 | 0.93446 |
| A7s, rainbow, ten or higher | 50.722 | 60.984 | -10.262 | 0.83173 |
| A7s, rainbow, nine or lower | 75.186 | 60.984 | +14.202 | 1.23288 |
| A7s, two-tone | 55.795 | 60.984 | -5.189 | 0.91491 |
| A7s, monotone | 54.409 | 60.984 | -6.575 | 0.89218 |
| A7s, paired | 62.289 | 60.984 | +1.305 | 1.02140 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A7s has 58.88%; looking only at deals where they do not, 56.36%. A7s does better with a shared suit, by 2.52 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | A7s wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 40.837 | 0.568 | 58.595 | 41.121 |
| No shared suit | 12 | 75.00 | 43.412 | 0.464 | 56.124 | 43.644 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are KQs in one seat and A7s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A7s takes back $113.98 of it, which is $13.98 more than it put in, and KQs takes back $86.02, $13.98 less than it put in.
Scaled to 1,000 deals, that is roughly 567 wins for A7s, 428 for KQs and 5 chopped pots.
The same matchup from the other side
The reversed view, A7s against KQs, shows 56.99% for A7s and 43.01% for KQs. It is the same count, so it redirects here.
Keep exploring
KsQs against Ah7h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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