--- title: "A3s vs QTo: preflop equity" url: "https://georgelipoker.com/equity/a3s-vs-qto.md" canonical_url: "https://georgelipoker.com/equity/a3s-vs-qto" last_updated: "2026-10-23" type: "reference" summary: "Who is ahead, A3s or QTo? A3s leads 58.24% to 41.76% before the flop, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/a3s-vs-44.md", "https://georgelipoker.com/equity/a3s-vs-j9s.md", "https://georgelipoker.com/equity/qjo-vs-qto.md"] --- # A3s vs QTo: preflop equity Who is ahead, A3s or QTo? A3s leads 58.24% to 41.76% before the flop, counted exactly over every board, with the split by flop type and suit. Before any board card is dealt, A3s holds 58.24% equity against QTo, which leaves QTo with 41.76%. ## A3s against QTo: the numbers **Exact preflop results for A3s against QTo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | A3s | 58.003 | 0.483 | 41.514 | 58.244 | | QTo | 41.514 | 0.483 | 58.003 | 41.756 | The first hand is a suited hand; the second is an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances. A3s is ahead, but QTo is far from dead: it takes 415 of every 1,000 deals outright. A split pot comes up on 0.48% of boards, so the wins and the equity differ by half of that. The hand ranking puts A3s at 38 and QTo at 47 out of 169 starting hands. **Boards behind the percentages: 82,190,592 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | A3s | 47,673,000 | 397,000 | 34,121,000 | | QTo | 34,121,000 | 397,000 | 47,673,000 | Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate. **A3s against QTo read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | A3s | 1.395 | 1.724 | 2.409 | 0.717 | | QTo | 0.717 | 2.409 | 1.724 | 1.395 | 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 A3s prefers low rainbow flops (nine high or lower), where it holds 74.31%, and likes rainbow flops topped by a ten or better least, where it holds 50.72%. A3s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **A3s against QTo by flop texture, in percent** | Flop | Share of flops | A3s wins | Ties | QTo wins | A3s equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.988 | 50.642 | 0.159 | 49.199 | 50.722 | | Rainbow, nine or lower | 7.042 | 73.840 | 0.932 | 25.228 | 74.306 | | Two-tone | 46.667 | 57.677 | 0.308 | 42.015 | 57.831 | | Monotone | 5.212 | 54.093 | 2.399 | 43.508 | 55.292 | | Paired | 17.091 | 63.888 | 0.645 | 35.467 | 64.211 | 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 Each hand has a baseline against a random hand: 58.22% for A3s, 57.29% for QTo. Here the change is +0.02 and -15.53 points. **A3s and QTo 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 | | --- | --- | --- | --- | --- | | A3s, all flops | 58.244 | 58.220 | +0.024 | 1.00041 | | A3s, rainbow, ten or higher | 50.722 | 58.220 | -7.498 | 0.87121 | | A3s, rainbow, nine or lower | 74.306 | 58.220 | +16.086 | 1.27630 | | A3s, two-tone | 57.831 | 58.220 | -0.389 | 0.99332 | | A3s, monotone | 55.292 | 58.220 | -2.928 | 0.94971 | | A3s, paired | 64.211 | 58.220 | +5.991 | 1.10290 | | QTo, all flops | 41.756 | 57.291 | -15.535 | 0.72884 | | QTo, rainbow, ten or higher | 49.278 | 57.291 | -8.013 | 0.86014 | | QTo, rainbow, nine or lower | 25.694 | 57.291 | -31.597 | 0.44848 | | QTo, two-tone | 42.169 | 57.291 | -15.122 | 0.73605 | | QTo, monotone | 44.708 | 57.291 | -12.583 | 0.78037 | | QTo, paired | 35.789 | 57.291 | -21.502 | 0.62469 | ## Does a shared suit matter? The suit split reads 57.89% for A3s with a shared suit and 58.60% without one. A3s does better with no shared suit, by 0.71 points. **A3s against QTo by suit overlap, in percent** | Deals | Specific deals | Share of deals | A3s wins | Ties | QTo wins | A3s equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 24 | 50.00 | 57.630 | 0.525 | 41.845 | 57.892 | | No shared suit | 24 | 50.00 | 58.375 | 0.441 | 41.184 | 58.596 | ## How often this matchup comes up This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%). ## A worked example Say each player puts $100 in before the flop, making a $200 pot. On average A3s takes back $116.48 of it, which is $16.48 more than it put in, and QTo takes back $83.52, $16.48 less than it put in. A thousand deals look like this: A3s takes 580, QTo takes 415, 5 are ties. ## The same matchup from the other side The mirror image, QTo against A3s, is 41.76% to 58.24%, and its address redirects to this page. ## Keep exploring Try As3s against QhTd 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 As3s against QhTd in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=As3s&p2=QhTd) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [QTo combos](https://georgelipoker.com/combos/qto.md) - [A3s vs 44](https://georgelipoker.com/equity/a3s-vs-44.md) - [A3s vs J9s](https://georgelipoker.com/equity/a3s-vs-j9s.md) - [QJo vs QTo](https://georgelipoker.com/equity/qjo-vs-qto.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Method: exact enumeration. The 48 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 - [A3s vs 44: preflop equity](https://georgelipoker.com/equity/a3s-vs-44.md) - [A3s vs J9s: preflop equity](https://georgelipoker.com/equity/a3s-vs-j9s.md) - [QJo vs QTo: preflop equity](https://georgelipoker.com/equity/qjo-vs-qto.md)