AQs
61.77%
Wins 61.51%, ties 0.52%
KJs
38.23%
Wins 37.97%, ties 0.52%
AQs against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 61.506 | 0.524 | 37.970 | 61.768 |
| KJs | 37.970 | 0.524 | 61.506 | 38.232 |
Both hands are suited hands: AQs and KJs. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. 0.52% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, AQs is number 10 of the 169 starting hands and KJs is number 20.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 16,851,000 | 144,000 | 10,403,000 |
| KJs | 10,403,000 | 144,000 | 16,851,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQs | 1.616 | 1.626 | 2.634 | 0.619 |
| KJs | 0.619 | 2.634 | 1.626 | 1.616 |
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
Across the five flop textures AQs' equity moves by 17.06 points, from 57.59% on rainbow flops topped by a ten or better to 74.65% on low rainbow flops (nine high or lower). AQs 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 | AQs wins | Ties | KJs wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 57.557 | 0.068 | 42.375 | 57.591 |
| Rainbow, nine or lower | 7.771 | 74.077 | 1.142 | 24.781 | 74.648 |
| Two-tone | 46.727 | 60.739 | 0.292 | 38.969 | 60.885 |
| Monotone | 5.273 | 56.870 | 3.423 | 39.707 | 58.581 |
| Paired | 17.091 | 64.667 | 0.600 | 34.733 | 64.967 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Relative to a random opponent, AQs changes by -4.44 points (baseline 66.21%) and KJs by -24.34 points (baseline 62.57%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 61.768 | 66.209 | -4.441 | 0.93292 |
| AQs, rainbow, ten or higher | 57.591 | 66.209 | -8.618 | 0.86984 |
| AQs, rainbow, nine or lower | 74.648 | 66.209 | +8.439 | 1.12746 |
| AQs, two-tone | 60.885 | 66.209 | -5.324 | 0.91959 |
| AQs, monotone | 58.581 | 66.209 | -7.628 | 0.88479 |
| AQs, paired | 64.967 | 66.209 | -1.242 | 0.98124 |
| KJs, all flops | 38.232 | 62.567 | -24.335 | 0.61106 |
| KJs, rainbow, ten or higher | 42.409 | 62.567 | -20.158 | 0.67782 |
| KJs, rainbow, nine or lower | 25.352 | 62.567 | -37.215 | 0.40520 |
| KJs, two-tone | 39.115 | 62.567 | -23.452 | 0.62517 |
| KJs, monotone | 41.419 | 62.567 | -21.148 | 0.66199 |
| KJs, paired | 35.033 | 62.567 | -27.534 | 0.55993 |
Does a shared suit matter?
Split by suits, the deals give AQs 64.11% when the hands overlap in a suit and 60.99% when they do not. AQs does better with a shared suit, by 3.12 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | KJs wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.803 | 0.603 | 35.594 | 64.105 |
| No shared suit | 12 | 75.00 | 60.741 | 0.497 | 38.762 | 60.989 |
How often this matchup comes up
AQs against KJs is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AQs takes back $123.54 of it, which is $23.54 more than it put in, and KJs takes back $76.46, $23.54 less than it put in.
Scaled to 1,000 deals, that is roughly 615 wins for AQs, 380 for KJs and 5 chopped pots.
The same matchup from the other side
KJs versus AQs is this same page seen from the other hand: 38.23% for KJs, 61.77% for AQs.
Keep exploring
AsQs against KhJh 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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