--- title: "ATo vs QJo: preflop equity" url: "https://georgelipoker.com/equity/ato-vs-qjo.md" canonical_url: "https://georgelipoker.com/equity/ato-vs-qjo" last_updated: "2026-10-23" type: "reference" summary: "Who is ahead, ATo or QJo? ATo leads 58.75% to 41.25% before the flop, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ato-vs-k9o.md", "https://georgelipoker.com/equity/ato-vs-q9s.md", "https://georgelipoker.com/equity/kjs-vs-qjo.md"] --- # ATo vs QJo: preflop equity Who is ahead, ATo or QJo? ATo leads 58.75% to 41.25% before the flop, counted exactly over every board, with the split by flop type and suit. Averaged over every possible board, ATo is ahead of QJo by 17.50 points of equity, 58.75% to 41.25%. ## ATo against QJo: the numbers **Exact preflop results for ATo against QJo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | ATo | 58.531 | 0.437 | 41.032 | 58.749 | | QJo | 41.032 | 0.437 | 58.531 | 41.251 | ATo meets QJo, and both are offsuit hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits. ATo is ahead, but QJo is far from dead: it takes 410 of every 1,000 deals outright. 0.44% of boards are ties, so the equity of each hand is its win rate plus half of that. ATo ranks number 19 of 169 starting hands, and QJo ranks number 39, by equity against a random hand. **Boards behind the percentages: 246,571,776 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | ATo | 144,321,000 | 1,078,000 | 101,173,000 | | QJo | 101,173,000 | 1,078,000 | 144,321,000 | The total is exact: 144 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. **ATo against QJo read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | ATo | 1.424 | 1.708 | 2.437 | 0.702 | | QJo | 0.702 | 2.437 | 1.708 | 1.424 | In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity. ## Who is ahead on which flops Split by what the flop looks like, ATo peaks at 74.88% on low rainbow flops (nine high or lower) and bottoms out at 52.22% on rainbow flops topped by a ten or better. ATo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **ATo against QJo by flop texture, in percent** | Flop | Share of flops | ATo wins | Ties | QJo wins | ATo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.381 | 52.158 | 0.115 | 47.727 | 52.216 | | Rainbow, nine or lower | 7.771 | 74.405 | 0.952 | 24.643 | 74.881 | | Two-tone | 46.606 | 57.509 | 0.310 | 42.181 | 57.664 | | Monotone | 5.151 | 55.086 | 1.696 | 43.218 | 55.934 | | Paired | 17.091 | 63.853 | 0.612 | 35.535 | 64.159 | 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 The table below sets each hand against its own random-hand baseline: a change of -3.97 points for ATo, from 62.72%, and -16.89 for QJo, from 58.14%. **ATo and QJo 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 | | --- | --- | --- | --- | --- | | ATo, all flops | 58.749 | 62.722 | -3.973 | 0.93666 | | ATo, rainbow, ten or higher | 52.216 | 62.722 | -10.506 | 0.83250 | | ATo, rainbow, nine or lower | 74.881 | 62.722 | +12.159 | 1.19386 | | ATo, two-tone | 57.664 | 62.722 | -5.058 | 0.91936 | | ATo, monotone | 55.934 | 62.722 | -6.788 | 0.89178 | | ATo, paired | 64.159 | 62.722 | +1.437 | 1.02291 | | QJo, all flops | 41.251 | 58.135 | -16.884 | 0.70957 | | QJo, rainbow, ten or higher | 47.784 | 58.135 | -10.351 | 0.82195 | | QJo, rainbow, nine or lower | 25.119 | 58.135 | -33.016 | 0.43208 | | QJo, two-tone | 42.336 | 58.135 | -15.799 | 0.72824 | | QJo, monotone | 44.066 | 58.135 | -14.069 | 0.75799 | | QJo, paired | 35.841 | 58.135 | -22.294 | 0.61651 | ## Does a shared suit matter? The suit split reads 58.76% for ATo with a shared suit and 58.68% without one. The two rows differ by only 0.08 points, so suits barely change this matchup. **ATo against QJo by suit overlap, in percent** | Deals | Specific deals | Share of deals | ATo wins | Ties | QJo wins | ATo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 120 | 83.33 | 58.536 | 0.453 | 41.011 | 58.763 | | No shared suit | 24 | 16.67 | 58.502 | 0.358 | 41.140 | 58.681 | ## How often this matchup comes up Counting specific cards, ATo against QJo appears in 144 of the 1,624,350 ordered heads-up deals (0.0089%), and in 288 when the seats are swapped too (0.0177%). ## A worked example With $100 from each side, the $200 pot is split on average as $117.50 for ATo and $82.50 for QJo; the first side gains $17.50 per all-in and the second gives up $17.50. Scaled to 1,000 deals, that is roughly 585 wins for ATo, 410 for QJo and 5 chopped pots. ## The same matchup from the other side If you came looking for QJo against ATo, the numbers are the same with the hands swapped: 41.25% and 58.75%. ## Keep exploring AsTh against QdJc 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 AsTh against QdJc in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsTh&p2=QdJc) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [QJo combos](https://georgelipoker.com/combos/qjo.md) - [ATo vs K9o](https://georgelipoker.com/equity/ato-vs-k9o.md) - [ATo vs Q9s](https://georgelipoker.com/equity/ato-vs-q9s.md) - [KJs vs QJo](https://georgelipoker.com/equity/kjs-vs-qjo.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Method: exact enumeration. The 144 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. ## Related - [ATo vs K9o: preflop equity](https://georgelipoker.com/equity/ato-vs-k9o.md) - [ATo vs Q9s: preflop equity](https://georgelipoker.com/equity/ato-vs-q9s.md) - [KJs vs QJo: preflop equity](https://georgelipoker.com/equity/kjs-vs-qjo.md)