--- title: "KQo vs A4s: preflop equity" url: "https://georgelipoker.com/equity/kqo-vs-a4s.md" canonical_url: "https://georgelipoker.com/equity/kqo-vs-a4s" last_updated: "2026-10-23" type: "reference" summary: "A4s is a big favorite over KQo before the flop: 60.19% to 39.81% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/kqo-vs-a3s.md", "https://georgelipoker.com/equity/kqo-vs-qjo.md", "https://georgelipoker.com/equity/a7s-vs-a4s.md"] --- # KQo vs A4s: preflop equity A4s is a big favorite over KQo before the flop: 60.19% to 39.81% equity, counted exactly over every board, with the split by flop type and suit. Before any board card is dealt, A4s holds 60.19% equity against KQo, which leaves KQo with 39.81%. ## KQo against A4s: the numbers **Exact preflop results for KQo against A4s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | KQo | 39.555 | 0.504 | 59.941 | 39.807 | | A4s | 59.941 | 0.504 | 39.555 | 60.193 | KQo, an offsuit hand, plays A4s, a suited hand. 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. The tie share is 0.50%: on those boards the pot is chopped and neither hand wins outright. KQo ranks number 23 of 169 starting hands, and A4s ranks number 35, by equity against a random hand. **Boards behind the percentages: 82,190,592 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | KQo | 32,510,000 | 414,000 | 49,266,000 | | A4s | 49,266,000 | 414,000 | 32,510,000 | The total is exact: 48 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. **KQo against A4s read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | KQo | 0.661 | 2.528 | 1.668 | 1.512 | | A4s | 1.512 | 1.668 | 2.528 | 0.661 | The final column gives the least the pot must offer for each unit called for a call to break even at this equity. ## Who is ahead on which flops The flop changes the picture. A4s does best on low rainbow flops (nine high or lower), at 78.22%, and worst on rainbow flops topped by a ten or better, at 52.51%. A4s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **KQo against A4s by flop texture, in percent** | Flop | Share of flops | KQo wins | Ties | A4s wins | KQo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.988 | 47.432 | 0.122 | 52.446 | 47.493 | | Rainbow, nine or lower | 7.042 | 21.181 | 1.195 | 77.624 | 21.778 | | Two-tone | 46.667 | 39.924 | 0.337 | 59.739 | 40.093 | | Monotone | 5.212 | 42.020 | 2.419 | 55.561 | 43.229 | | Paired | 17.091 | 34.313 | 0.628 | 65.059 | 34.627 | 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 A random hand would give KQo 61.46% and A4s 59.03%. Against each other the change is -21.65 points for KQo and +1.16 for A4s. **KQo and A4s here compared with each against a random hand, in percent** | Case | Equity here | Against a random hand | Change in points | Times the random-hand equity | | --- | --- | --- | --- | --- | | KQo, all flops | 39.807 | 61.456 | -21.649 | 0.64773 | | KQo, rainbow, ten or higher | 47.493 | 61.456 | -13.963 | 0.77280 | | KQo, rainbow, nine or lower | 21.778 | 61.456 | -39.678 | 0.35437 | | KQo, two-tone | 40.093 | 61.456 | -21.363 | 0.65239 | | KQo, monotone | 43.229 | 61.456 | -18.227 | 0.70341 | | KQo, paired | 34.627 | 61.456 | -26.829 | 0.56344 | | A4s, all flops | 60.193 | 59.034 | +1.159 | 1.01963 | | A4s, rainbow, ten or higher | 52.507 | 59.034 | -6.527 | 0.88944 | | A4s, rainbow, nine or lower | 78.222 | 59.034 | +19.188 | 1.32503 | | A4s, two-tone | 59.907 | 59.034 | +0.873 | 1.01479 | | A4s, monotone | 56.771 | 59.034 | -2.263 | 0.96167 | | A4s, paired | 65.373 | 59.034 | +6.339 | 1.10738 | ## Does a shared suit matter? Suit overlap shows up in the numbers. With a suit in common A4s has 59.86% equity, and with none in common it has 60.53%. A4s does better with no shared suit, by 0.67 points. **KQo against A4s by suit overlap, in percent** | Deals | Specific deals | Share of deals | KQo wins | Ties | A4s wins | KQo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 24 | 50.00 | 39.869 | 0.545 | 59.586 | 40.142 | | No shared suit | 24 | 50.00 | 39.242 | 0.463 | 60.295 | 39.473 | ## How often this matchup comes up You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order. ## A worked example Take a $200 pot built from $100 each. A4s' equity of 60.19% is worth $120.38, a $20.38 edge, and KQo's 39.81% is worth $79.62, which is $20.38 under its stake. Think in thousands: about 599 of 1,000 go to A4s, about 396 go to KQo, and about 5 are chopped. ## The same matchup from the other side A4s versus KQo is this same page seen from the other hand: 60.19% for A4s, 39.81% for KQo. ## Keep exploring The calculator link fills in KsQh against Ad4d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength. - [Open KsQh against Ad4d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=KsQh&p2=Ad4d) - [KQo combos](https://georgelipoker.com/combos/kqo.md) - [A4s combos](https://georgelipoker.com/combos/a4s.md) - [KQo vs A3s](https://georgelipoker.com/equity/kqo-vs-a3s.md) - [KQo vs QJo](https://georgelipoker.com/equity/kqo-vs-qjo.md) - [A7s vs A4s](https://georgelipoker.com/equity/a7s-vs-a4s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [KQo vs A3s: preflop equity](https://georgelipoker.com/equity/kqo-vs-a3s.md) - [KQo vs QJo: preflop equity](https://georgelipoker.com/equity/kqo-vs-qjo.md) - [A7s vs A4s: preflop equity](https://georgelipoker.com/equity/a7s-vs-a4s.md)