--- title: "AJo vs 33: preflop equity" url: "https://georgelipoker.com/equity/ajo-vs-33.md" canonical_url: "https://georgelipoker.com/equity/ajo-vs-33" last_updated: "2026-10-23" type: "reference" summary: "AJo vs 33 is close to a coin flip before the flop: 47.33% to 52.67% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ajo-vs-t8s.md", "https://georgelipoker.com/equity/ajo-vs-t9o.md", "https://georgelipoker.com/equity/kqs-vs-33.md"] --- # AJo vs 33: preflop equity AJo vs 33 is close to a coin flip before the flop: 47.33% to 52.67% equity, counted exactly over every board, with the split by flop type and suit. Dealt all in against each other, 33 takes 52.67% of the pot on average and AJo takes the other 47.33%. ## AJo against 33: the numbers **Exact preflop results for AJo against 33, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AJo | 47.061 | 0.530 | 52.409 | 47.326 | | 33 | 52.409 | 0.530 | 47.061 | 52.674 | 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. With only 5.34 points between them, the board decides this matchup far more than the cards in hand. A split pot comes up on 0.53% of boards, so the wins and the equity differ by half of that. For context, AJo sits at number 15 of 169 starting hands and 33 at number 66 when each is run against a random hand. **Boards behind the percentages: 123,285,888 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AJo | 58,020,000 | 653,000 | 64,613,000 | | 33 | 64,613,000 | 653,000 | 58,020,000 | 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. **AJo 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) | | --- | --- | --- | --- | --- | | AJo | 0.898 | 2.125 | 1.908 | 1.113 | | 33 | 1.113 | 1.908 | 2.125 | 0.898 | 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, 33 peaks at 78.69% on low rainbow flops (nine high or lower) and bottoms out at 46.45% on rainbow flops topped by a ten or better. The lead reverses on rainbow flops topped by a ten or better and monotone flops: there AJo is the favorite even though 33 is ahead overall. **AJo against 33 by flop texture, in percent** | Flop | Share of flops | AJo wins | Ties | 33 wins | AJo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.717 | 53.453 | 0.201 | 46.346 | 53.554 | | Rainbow, nine or lower | 6.314 | 20.737 | 1.146 | 78.117 | 21.310 | | Two-tone | 46.485 | 47.121 | 0.377 | 52.502 | 47.310 | | Monotone | 5.151 | 48.877 | 2.258 | 48.865 | 50.006 | | Paired | 17.333 | 46.835 | 0.673 | 52.492 | 47.171 | 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 How much does the opponent matter? Compared with its random-hand 63.56%, AJo changes by -16.23 points, and 33, from 53.69%, by -1.02. **AJo 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 | | --- | --- | --- | --- | --- | | AJo, all flops | 47.326 | 63.563 | -16.237 | 0.74455 | | AJo, rainbow, ten or higher | 53.554 | 63.563 | -10.009 | 0.84253 | | AJo, rainbow, nine or lower | 21.310 | 63.563 | -42.253 | 0.33526 | | AJo, two-tone | 47.310 | 63.563 | -16.253 | 0.74430 | | AJo, monotone | 50.006 | 63.563 | -13.557 | 0.78672 | | AJo, paired | 47.171 | 63.563 | -16.392 | 0.74211 | | 33, all flops | 52.674 | 53.693 | -1.019 | 0.98102 | | 33, rainbow, ten or higher | 46.446 | 53.693 | -7.247 | 0.86503 | | 33, rainbow, nine or lower | 78.690 | 53.693 | +24.997 | 1.46555 | | 33, two-tone | 52.690 | 53.693 | -1.003 | 0.98132 | | 33, monotone | 49.994 | 53.693 | -3.699 | 0.93111 | | 33, paired | 52.829 | 53.693 | -0.864 | 0.98391 | ## Does a shared suit matter? The suit split reads 52.59% for 33 with a shared suit and 53.08% without one. 33 does better with no shared suit, by 0.49 points. **AJo against 33 by suit overlap, in percent** | Deals | Specific deals | Share of deals | AJo wins | Ties | 33 wins | AJo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 60 | 83.33 | 47.137 | 0.541 | 52.322 | 47.408 | | No shared suit | 12 | 16.67 | 46.682 | 0.476 | 52.842 | 46.920 | ## How often this matchup comes up How often does it happen? 72 of the 1,624,350 ordered deals (0.0044%) are AJo against 33, and 144 (0.0089%) if either hand may sit in either seat. ## A worked example Say each player puts $100 in before the flop, making a $200 pot. On average 33 takes back $105.34 of it, which is $5.34 more than it put in, and AJo takes back $94.66, $5.34 less than it put in. In 1,000 deals of exactly this matchup, expect about 524 won outright by 33, about 471 won outright by AJo and about 5 split. ## The same matchup from the other side 33 versus AJo is this same page seen from the other hand: 52.67% for 33, 47.33% for AJo. ## Keep exploring AsJh 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 AsJh against 3d3c in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsJh&p2=3d3c) - [AJo combos](https://georgelipoker.com/combos/ajo.md) - [33 combos](https://georgelipoker.com/combos/33.md) - [AJo vs T8s](https://georgelipoker.com/equity/ajo-vs-t8s.md) - [AJo vs T9o](https://georgelipoker.com/equity/ajo-vs-t9o.md) - [KQs vs 33](https://georgelipoker.com/equity/kqs-vs-33.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 72 specific deals of AJo against 33, 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 - [AJo vs T8s: preflop equity](https://georgelipoker.com/equity/ajo-vs-t8s.md) - [AJo vs T9o: preflop equity](https://georgelipoker.com/equity/ajo-vs-t9o.md) - [KQs vs 33: preflop equity](https://georgelipoker.com/equity/kqs-vs-33.md)