--- title: "AJs vs 33: preflop equity" url: "https://georgelipoker.com/equity/ajs-vs-33.md" canonical_url: "https://georgelipoker.com/equity/ajs-vs-33" last_updated: "2026-10-23" type: "reference" summary: "AJs vs 33 is close to a coin flip before the flop: 49.85% to 50.15% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ajs-vs-t8s.md", "https://georgelipoker.com/equity/ajs-vs-t9o.md", "https://georgelipoker.com/equity/ako-vs-33.md"] --- # AJs vs 33: preflop equity AJs vs 33 is close to a coin flip before the flop: 49.85% to 50.15% equity, counted exactly over every board, with the split by flop type and suit. Over all 1,712,304 boards that can follow this deal, 33 finishes with 50.15% of the pot and AJs with 49.85%. ## AJs against 33: the numbers **Exact preflop results for AJs against 33, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AJs | 49.567 | 0.562 | 49.871 | 49.848 | | 33 | 49.871 | 0.562 | 49.567 | 50.152 | One side is a suited hand, the other 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 0.30 points between them, the board decides this matchup far more than the cards in hand. Of every 100 boards, about 0.56 are split pots, and the equity figures already include them. For context, AJs sits at number 11 of 169 starting hands and 33 at number 66 when each is run against a random hand. **Boards behind the percentages: 41,095,296 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AJs | 20,370,000 | 231,000 | 20,495,000 | | 33 | 20,495,000 | 231,000 | 20,370,000 | Exact total: 24 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. **AJs 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) | | --- | --- | --- | --- | --- | | AJs | 0.994 | 2.017 | 2.005 | 1.006 | | 33 | 1.006 | 2.005 | 2.017 | 0.994 | The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity. ## Who is ahead on which flops If you know the kind of flop that came, the numbers shift: 33 holds 76.05% on low rainbow flops (nine high or lower) and 45.01% on rainbow flops topped by a ten or better. Watch for rainbow flops topped by a ten or better and two-tone flops: on those flops AJs holds the better equity. **AJs against 33 by flop texture, in percent** | Flop | Share of flops | AJs wins | Ties | 33 wins | AJs equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.595 | 54.893 | 0.195 | 44.912 | 54.991 | | Rainbow, nine or lower | 6.314 | 23.408 | 1.095 | 75.497 | 23.955 | | Two-tone | 46.545 | 50.654 | 0.348 | 48.998 | 50.828 | | Monotone | 5.212 | 48.257 | 3.185 | 48.558 | 49.850 | | Paired | 17.334 | 49.016 | 0.673 | 50.311 | 49.352 | Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank. ## Compared with a random hand Compared with a random opponent, this matchup shifts AJs from 65.39% by -15.54 points and 33 from 53.69% by -3.54 points. **AJs 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 | | --- | --- | --- | --- | --- | | AJs, all flops | 49.848 | 65.393 | -15.545 | 0.76228 | | AJs, rainbow, ten or higher | 54.991 | 65.393 | -10.402 | 0.84093 | | AJs, rainbow, nine or lower | 23.955 | 65.393 | -41.438 | 0.36632 | | AJs, two-tone | 50.828 | 65.393 | -14.565 | 0.77727 | | AJs, monotone | 49.850 | 65.393 | -15.543 | 0.76231 | | AJs, paired | 49.352 | 65.393 | -16.041 | 0.75470 | | 33, all flops | 50.152 | 53.693 | -3.541 | 0.93405 | | 33, rainbow, ten or higher | 45.009 | 53.693 | -8.684 | 0.83827 | | 33, rainbow, nine or lower | 76.045 | 53.693 | +22.352 | 1.41629 | | 33, two-tone | 49.172 | 53.693 | -4.521 | 0.91580 | | 33, monotone | 50.150 | 53.693 | -3.543 | 0.93401 | | 33, paired | 50.648 | 53.693 | -3.045 | 0.94329 | ## Does a shared suit matter? The suit split reads 50.33% for 33 with a shared suit and 49.97% without one. 33 does better with a shared suit, by 0.36 points. **AJs against 33 by suit overlap, in percent** | Deals | Specific deals | Share of deals | AJs wins | Ties | 33 wins | AJs equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 50.00 | 49.372 | 0.592 | 50.036 | 49.668 | | No shared suit | 12 | 50.00 | 49.763 | 0.532 | 49.705 | 50.029 | ## How often this matchup comes up This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%). ## A worked example Try it with money: two players each put in $100 and the whole board runs out every possible way. 33 averages $100.30 from the $200, up $0.30; AJs averages $99.70, down $0.30. Run 1,000 deals and the tally comes out near 499 for 33, 496 for AJs and 5 ties. ## The same matchup from the other side 33 against AJs adds nothing new: it is 50.15% for 33 and 49.85% for AJs, the same figures reversed. ## Keep exploring Open the calculator with AsJs against 3h3d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking. - [Open AsJs against 3h3d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsJs&p2=3h3d) - [AJs combos](https://georgelipoker.com/combos/ajs.md) - [33 combos](https://georgelipoker.com/combos/33.md) - [AJs vs T8s](https://georgelipoker.com/equity/ajs-vs-t8s.md) - [AJs vs T9o](https://georgelipoker.com/equity/ajs-vs-t9o.md) - [AKo vs 33](https://georgelipoker.com/equity/ako-vs-33.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed This is an exact count with no sampling. For the 24 ways to deal one AJs and one 33 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [AJs vs T8s: preflop equity](https://georgelipoker.com/equity/ajs-vs-t8s.md) - [AJs vs T9o: preflop equity](https://georgelipoker.com/equity/ajs-vs-t9o.md) - [AKo vs 33: preflop equity](https://georgelipoker.com/equity/ako-vs-33.md)