--- title: "AJo vs A3s: preflop equity" url: "https://georgelipoker.com/equity/ajo-vs-a3s.md" canonical_url: "https://georgelipoker.com/equity/ajo-vs-a3s" last_updated: "2026-10-23" type: "reference" summary: "AJo is a big favorite over A3s before the flop: 67.93% to 32.07% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ajo-vs-qjo.md", "https://georgelipoker.com/equity/ajo-vs-k9o.md", "https://georgelipoker.com/equity/kqs-vs-a3s.md"] --- # AJo vs A3s: preflop equity AJo is a big favorite over A3s before the flop: 67.93% to 32.07% equity, counted exactly over every board, with the split by flop type and suit. In equity, AJo against A3s stands at 67.93% to 32.07%, a gap of 35.86 points. ## AJo against A3s: the numbers **Exact preflop results for AJo against A3s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AJo | 64.076 | 7.716 | 28.208 | 67.934 | | A3s | 28.208 | 7.716 | 64.076 | 32.066 | AJo, an offsuit hand, plays A3s, a suited hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits. AJo is well ahead, and A3s needs a specific kind of board to catch up. Ties are 7.72% of the outcomes here; each tied board gives both hands half the pot. AJo ranks number 15 of 169 starting hands, and A3s ranks number 38, by equity against a random hand. **Boards behind the percentages: 61,642,944 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AJo | 39,498,000 | 4,756,000 | 17,388,000 | | A3s | 17,388,000 | 4,756,000 | 39,498,000 | The total is exact: 36 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. **AJo 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) | | --- | --- | --- | --- | --- | | AJo | 2.119 | 1.561 | 3.545 | 0.472 | | A3s | 0.472 | 3.545 | 1.561 | 2.119 | The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call. ## Who is ahead on which flops Across the five flop textures AJo's equity moves by 19.84 points, from 55.34% on low rainbow flops (nine high or lower) to 75.18% on rainbow flops topped by a ten or better. AJo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **AJo against A3s by flop texture, in percent** | Flop | Share of flops | AJo wins | Ties | A3s wins | AJo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.905 | 72.338 | 5.685 | 21.977 | 75.180 | | Rainbow, nine or lower | 7.042 | 53.143 | 4.394 | 42.463 | 55.340 | | Two-tone | 46.527 | 64.440 | 5.118 | 30.442 | 66.999 | | Monotone | 5.192 | 60.250 | 6.039 | 33.711 | 63.270 | | Paired | 17.334 | 57.292 | 19.341 | 23.367 | 66.963 | A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank. ## Compared with a random hand Relative to a random opponent, AJo changes by +4.37 points (baseline 63.56%) and A3s by -26.15 points (baseline 58.22%). **AJo 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 | | --- | --- | --- | --- | --- | | AJo, all flops | 67.934 | 63.563 | +4.371 | 1.06877 | | AJo, rainbow, ten or higher | 75.180 | 63.563 | +11.617 | 1.18276 | | AJo, rainbow, nine or lower | 55.340 | 63.563 | -8.223 | 0.87063 | | AJo, two-tone | 66.999 | 63.563 | +3.436 | 1.05406 | | AJo, monotone | 63.270 | 63.563 | -0.293 | 0.99539 | | AJo, paired | 66.963 | 63.563 | +3.400 | 1.05349 | | A3s, all flops | 32.066 | 58.220 | -26.154 | 0.55077 | | A3s, rainbow, ten or higher | 24.820 | 58.220 | -33.400 | 0.42631 | | A3s, rainbow, nine or lower | 44.660 | 58.220 | -13.560 | 0.76709 | | A3s, two-tone | 33.001 | 58.220 | -25.219 | 0.56683 | | A3s, monotone | 36.730 | 58.220 | -21.490 | 0.63088 | | A3s, paired | 33.037 | 58.220 | -25.183 | 0.56745 | ## Does a shared suit matter? Does suit overlap move the numbers? AJo has 68.75% when the hands share a suit and 67.53% when they do not. AJo does better with a shared suit, by 1.22 points. **AJo against A3s by suit overlap, in percent** | Deals | Specific deals | Share of deals | AJo wins | Ties | A3s wins | AJo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 33.33 | 64.835 | 7.825 | 27.340 | 68.748 | | No shared suit | 24 | 66.67 | 63.696 | 7.661 | 28.643 | 67.527 | ## How often this matchup comes up AJo against A3s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%. ## A worked example To see what the equity is worth, imagine $100 each in a $200 pot. AJo is worth $135.86 on average (+$35.86); A3s is worth $64.14 (-$35.86). A thousand deals look like this: AJo takes 641, A3s takes 282, 77 are ties. ## The same matchup from the other side A3s versus AJo is this same page seen from the other hand: 32.07% for A3s, 67.93% for AJo. ## Keep exploring Try AsJh against Ad3d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking. - [Open AsJh against Ad3d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsJh&p2=Ad3d) - [AJo combos](https://georgelipoker.com/combos/ajo.md) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [AJo vs QJo](https://georgelipoker.com/equity/ajo-vs-qjo.md) - [AJo vs K9o](https://georgelipoker.com/equity/ajo-vs-k9o.md) - [KQs vs A3s](https://georgelipoker.com/equity/kqs-vs-a3s.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 36 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 - [AJo vs QJo: preflop equity](https://georgelipoker.com/equity/ajo-vs-qjo.md) - [AJo vs K9o: preflop equity](https://georgelipoker.com/equity/ajo-vs-k9o.md) - [KQs vs A3s: preflop equity](https://georgelipoker.com/equity/kqs-vs-a3s.md)