--- title: "ATo vs 33: preflop equity" url: "https://georgelipoker.com/equity/ato-vs-33.md" canonical_url: "https://georgelipoker.com/equity/ato-vs-33" last_updated: "2026-10-23" type: "reference" summary: "ATo vs 33 is close to a coin flip before the flop: 47.68% to 52.32% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ato-vs-t8s.md", "https://georgelipoker.com/equity/ato-vs-t9o.md", "https://georgelipoker.com/equity/kjs-vs-33.md"] --- # ATo vs 33: preflop equity ATo vs 33 is close to a coin flip before the flop: 47.68% to 52.32% equity, counted exactly over every board, with the split by flop type and suit. Counting every board, the equity split is 52.32% for 33 and 47.68% for ATo, so 33 leads by 4.64 points. ## ATo against 33: the numbers **Exact preflop results for ATo against 33, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | ATo | 47.419 | 0.517 | 52.064 | 47.677 | | 33 | 52.064 | 0.517 | 47.419 | 52.323 | The first hand is an offsuit hand; the second is a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead. 33 leads by less than 5 points of equity, so the result of any one deal is close to a toss-up. Ties are 0.52% of the outcomes here; each tied board gives both hands half the pot. Ranked by equity against a random hand, ATo is number 19 of the 169 starting hands and 33 is number 66. **Boards behind the percentages: 123,285,888 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | ATo | 58,461,000 | 637,000 | 64,188,000 | | 33 | 64,188,000 | 637,000 | 58,461,000 | The total is exact: 72 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 33 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 | 0.911 | 2.109 | 1.921 | 1.097 | | 33 | 1.097 | 1.921 | 2.109 | 0.911 | 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 The flop changes the picture. 33 does best on low rainbow flops (nine high or lower), at 77.02%, and worst on rainbow flops topped by a ten or better, at 46.36%. Rainbow flops topped by a ten or better and monotone flops favor ATo, the hand that is behind overall. **ATo against 33 by flop texture, in percent** | Flop | Share of flops | ATo wins | Ties | 33 wins | ATo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.717 | 53.521 | 0.242 | 46.237 | 53.642 | | Rainbow, nine or lower | 6.314 | 22.531 | 0.897 | 76.572 | 22.979 | | Two-tone | 46.485 | 47.523 | 0.360 | 52.117 | 47.703 | | Monotone | 5.151 | 49.166 | 2.246 | 48.588 | 50.289 | | Paired | 17.333 | 46.982 | 0.677 | 52.341 | 47.321 | 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, ATo changes by -15.04 points (baseline 62.72%) and 33 by -1.37 points (baseline 53.69%). **ATo and 33 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 | 47.677 | 62.722 | -15.045 | 0.76013 | | ATo, rainbow, ten or higher | 53.642 | 62.722 | -9.080 | 0.85523 | | ATo, rainbow, nine or lower | 22.979 | 62.722 | -39.743 | 0.36636 | | ATo, two-tone | 47.703 | 62.722 | -15.019 | 0.76055 | | ATo, monotone | 50.289 | 62.722 | -12.433 | 0.80178 | | ATo, paired | 47.321 | 62.722 | -15.401 | 0.75446 | | 33, all flops | 52.323 | 53.693 | -1.370 | 0.97448 | | 33, rainbow, ten or higher | 46.358 | 53.693 | -7.335 | 0.86339 | | 33, rainbow, nine or lower | 77.021 | 53.693 | +23.328 | 1.43447 | | 33, two-tone | 52.297 | 53.693 | -1.396 | 0.97400 | | 33, monotone | 49.711 | 53.693 | -3.982 | 0.92584 | | 33, paired | 52.679 | 53.693 | -1.014 | 0.98111 | ## Does a shared suit matter? Of the deals of this matchup, 60 share a suit (33 at 52.24%) and 12 do not (52.73%). 33 does better with no shared suit, by 0.49 points. **ATo against 33 by suit overlap, in percent** | Deals | Specific deals | Share of deals | ATo wins | Ties | 33 wins | ATo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 60 | 83.33 | 47.495 | 0.528 | 51.977 | 47.759 | | No shared suit | 12 | 16.67 | 47.035 | 0.462 | 52.503 | 47.266 | ## How often this matchup comes up You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order. ## A worked example Say each player puts $100 in before the flop, making a $200 pot. On average 33 takes back $104.64 of it, which is $4.64 more than it put in, and ATo takes back $95.36, $4.64 less than it put in. Think in thousands: about 521 of 1,000 go to 33, about 474 go to ATo, and about 5 are chopped. ## The same matchup from the other side Read it from the other side: 33 against ATo is the same matchup with the numbers swapped, so 33 holds 52.32% and ATo holds 47.68%. That address sends you back to this page. ## Keep exploring AsTh against 3d3c 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 3d3c in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsTh&p2=3d3c) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [33 combos](https://georgelipoker.com/combos/33.md) - [ATo vs T8s](https://georgelipoker.com/equity/ato-vs-t8s.md) - [ATo vs T9o](https://georgelipoker.com/equity/ato-vs-t9o.md) - [KJs vs 33](https://georgelipoker.com/equity/kjs-vs-33.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed We counted every case. Each suit pattern of the 72 specific ATo against 33 deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [ATo vs T8s: preflop equity](https://georgelipoker.com/equity/ato-vs-t8s.md) - [ATo vs T9o: preflop equity](https://georgelipoker.com/equity/ato-vs-t9o.md) - [KJs vs 33: preflop equity](https://georgelipoker.com/equity/kjs-vs-33.md)