--- title: "AKo vs A3s: preflop equity" url: "https://georgelipoker.com/equity/ako-vs-a3s.md" canonical_url: "https://georgelipoker.com/equity/ako-vs-a3s" last_updated: "2026-10-23" type: "reference" summary: "AKo is a big favorite over A3s before the flop: 69.38% to 30.62% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ako-vs-qjo.md", "https://georgelipoker.com/equity/ako-vs-k9o.md", "https://georgelipoker.com/equity/ats-vs-a3s.md"] --- # AKo vs A3s: preflop equity AKo is a big favorite over A3s before the flop: 69.38% to 30.62% equity, counted exactly over every board, with the split by flop type and suit. Counting every board, the equity split is 69.38% for AKo and 30.62% for A3s, so AKo leads by 38.76 points. ## AKo against A3s: the numbers **Exact preflop results for AKo against A3s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AKo | 67.050 | 4.658 | 28.292 | 69.379 | | A3s | 28.292 | 4.658 | 67.050 | 30.621 | We compare an offsuit hand with a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up. AKo is well ahead, and A3s needs a specific kind of board to catch up. Ties are part of the picture: 4.66% of boards end in a split pot, and each side counts that as half a win. Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and A3s is number 38. **Boards behind the percentages: 61,642,944 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AKo | 41,332,000 | 2,871,000 | 17,440,000 | | A3s | 17,440,000 | 2,871,000 | 41,332,000 | 36 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand. **AKo against A3s read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | AKo | 2.266 | 1.491 | 3.535 | 0.441 | | A3s | 0.441 | 3.535 | 1.491 | 2.266 | 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 By flop texture, AKo's equity runs from 55.16% on low rainbow flops (nine high or lower) up to 76.67% on rainbow flops topped by a ten or better. AKo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **AKo against A3s by flop texture, in percent** | Flop | Share of flops | AKo wins | Ties | A3s wins | AKo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.905 | 75.428 | 2.492 | 22.080 | 76.674 | | Rainbow, nine or lower | 7.042 | 52.898 | 4.523 | 42.579 | 55.160 | | Two-tone | 46.527 | 66.671 | 2.787 | 30.542 | 68.065 | | Monotone | 5.192 | 62.096 | 4.110 | 33.794 | 64.151 | | Paired | 17.334 | 63.748 | 12.884 | 23.368 | 70.190 | 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 Against one random hand instead, AKo holds 65.32% and A3s holds 58.22%. Facing each other changes that by +4.06 points for AKo and -27.60 points for A3s. **AKo and A3s 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 | | --- | --- | --- | --- | --- | | AKo, all flops | 69.379 | 65.320 | +4.059 | 1.06214 | | AKo, rainbow, ten or higher | 76.674 | 65.320 | +11.354 | 1.17382 | | AKo, rainbow, nine or lower | 55.160 | 65.320 | -10.160 | 0.84446 | | AKo, two-tone | 68.065 | 65.320 | +2.745 | 1.04202 | | AKo, monotone | 64.151 | 65.320 | -1.169 | 0.98210 | | AKo, paired | 70.190 | 65.320 | +4.870 | 1.07456 | | A3s, all flops | 30.621 | 58.220 | -27.599 | 0.52595 | | A3s, rainbow, ten or higher | 23.326 | 58.220 | -34.894 | 0.40065 | | A3s, rainbow, nine or lower | 44.840 | 58.220 | -13.380 | 0.77018 | | A3s, two-tone | 31.935 | 58.220 | -26.285 | 0.54852 | | A3s, monotone | 35.849 | 58.220 | -22.371 | 0.61575 | | A3s, paired | 29.810 | 58.220 | -28.410 | 0.51202 | ## Does a shared suit matter? Suit overlap shows up in the numbers. With a suit in common AKo has 70.20% equity, and with none in common it has 68.97%. AKo does better with a shared suit, by 1.23 points. **AKo against A3s by suit overlap, in percent** | Deals | Specific deals | Share of deals | AKo wins | Ties | A3s wins | AKo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 33.33 | 67.836 | 4.736 | 27.428 | 70.204 | | No shared suit | 24 | 66.67 | 66.658 | 4.618 | 28.724 | 68.967 | ## How often this matchup comes up You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order. ## A worked example Put $100 each into a $200 pot and deal every board once: AKo averages $138.76 back, ahead of its $100 by $38.76, while A3s averages $61.24, short of its $100 by $38.76. In 1,000 deals of exactly this matchup, expect about 670 won outright by AKo, about 283 won outright by A3s and about 47 split. ## The same matchup from the other side If you came looking for A3s against AKo, the numbers are the same with the hands swapped: 30.62% and 69.38%. ## Keep exploring AsKh against Ad3d 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. - [Open AsKh against Ad3d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsKh&p2=Ad3d) - [AKo combos](https://georgelipoker.com/combos/ako.md) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [AKo vs QJo](https://georgelipoker.com/equity/ako-vs-qjo.md) - [AKo vs K9o](https://georgelipoker.com/equity/ako-vs-k9o.md) - [ATs vs A3s](https://georgelipoker.com/equity/ats-vs-a3s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of AKo against A3s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [AKo vs QJo: preflop equity](https://georgelipoker.com/equity/ako-vs-qjo.md) - [AKo vs K9o: preflop equity](https://georgelipoker.com/equity/ako-vs-k9o.md) - [ATs vs A3s: preflop equity](https://georgelipoker.com/equity/ats-vs-a3s.md)