--- title: "QJo vs 33: preflop equity" url: "https://georgelipoker.com/equity/qjo-vs-33.md" canonical_url: "https://georgelipoker.com/equity/qjo-vs-33" last_updated: "2026-10-23" type: "reference" summary: "QJo vs 33 is close to a coin flip before the flop: 49.57% to 50.43% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/qjo-vs-t8s.md", "https://georgelipoker.com/equity/qjo-vs-t9o.md", "https://georgelipoker.com/equity/k9o-vs-33.md"] --- # QJo vs 33: preflop equity QJo vs 33 is close to a coin flip before the flop: 49.57% to 50.43% equity, counted exactly over every board, with the split by flop type and suit. Counting every board, the equity split is 50.43% for 33 and 49.57% for QJo, so 33 leads by 0.86 points. ## QJo against 33: the numbers **Exact preflop results for QJo against 33, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | QJo | 49.082 | 0.974 | 49.944 | 49.569 | | 33 | 49.944 | 0.974 | 49.082 | 50.431 | We compare an offsuit hand with a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect. With only 0.86 points between them, the board decides this matchup far more than the cards in hand. 0.97% of boards are ties, so the equity of each hand is its win rate plus half of that. In the ranking of all 169 starting hands, QJo is number 39 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 | | --- | --- | --- | --- | | QJo | 60,511,000 | 1,201,000 | 61,574,000 | | 33 | 61,574,000 | 1,201,000 | 60,511,000 | 72 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand. **QJo 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) | | --- | --- | --- | --- | --- | | QJo | 0.983 | 2.037 | 2.002 | 1.017 | | 33 | 1.017 | 2.002 | 2.037 | 0.983 | 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 33 prefers low rainbow flops (nine high or lower), where it holds 76.89%, and likes rainbow flops topped by a ten or better least, where it holds 43.58%. The overall edge for 33 hides rainbow flops topped by a ten or better and monotone flops, where QJo comes out in front. **QJo against 33 by flop texture, in percent** | Flop | Share of flops | QJo wins | Ties | 33 wins | QJo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.717 | 56.192 | 0.456 | 43.352 | 56.420 | | Rainbow, nine or lower | 6.314 | 22.537 | 1.137 | 76.326 | 23.106 | | Two-tone | 46.485 | 49.569 | 0.579 | 49.852 | 49.859 | | Monotone | 5.151 | 50.600 | 2.464 | 46.936 | 51.832 | | Paired | 17.333 | 46.857 | 2.270 | 50.873 | 47.992 | 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 Against one random hand instead, QJo holds 58.14% and 33 holds 53.69%. Facing each other changes that by -8.57 points for QJo and -3.26 points for 33. **QJo 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 | | --- | --- | --- | --- | --- | | QJo, all flops | 49.569 | 58.135 | -8.566 | 0.85265 | | QJo, rainbow, ten or higher | 56.420 | 58.135 | -1.715 | 0.97050 | | QJo, rainbow, nine or lower | 23.106 | 58.135 | -35.029 | 0.39745 | | QJo, two-tone | 49.859 | 58.135 | -8.276 | 0.85764 | | QJo, monotone | 51.832 | 58.135 | -6.303 | 0.89158 | | QJo, paired | 47.992 | 58.135 | -10.143 | 0.82553 | | 33, all flops | 50.431 | 53.693 | -3.262 | 0.93925 | | 33, rainbow, ten or higher | 43.580 | 53.693 | -10.113 | 0.81165 | | 33, rainbow, nine or lower | 76.894 | 53.693 | +23.201 | 1.43210 | | 33, two-tone | 50.141 | 53.693 | -3.552 | 0.93385 | | 33, monotone | 48.168 | 53.693 | -5.525 | 0.89710 | | 33, paired | 52.008 | 53.693 | -1.685 | 0.96862 | ## Does a shared suit matter? The suit split reads 50.34% for 33 with a shared suit and 50.87% without one. 33 does better with no shared suit, by 0.53 points. **QJo against 33 by suit overlap, in percent** | Deals | Specific deals | Share of deals | QJo wins | Ties | 33 wins | QJo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 60 | 83.33 | 49.165 | 0.985 | 49.850 | 49.657 | | No shared suit | 12 | 16.67 | 48.670 | 0.920 | 50.410 | 49.130 | ## How often this matchup comes up Counting specific cards, QJo against 33 appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%). ## A worked example With $100 from each side, the $200 pot is split on average as $100.86 for 33 and $99.14 for QJo; the first side gains $0.86 per all-in and the second gives up $0.86. A thousand deals look like this: 33 takes 499, QJo takes 491, 10 are ties. ## The same matchup from the other side If you came looking for 33 against QJo, the numbers are the same with the hands swapped: 50.43% and 49.57%. ## Keep exploring Open the calculator with QsJh against 3d3c 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 QsJh against 3d3c in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=QsJh&p2=3d3c) - [QJo combos](https://georgelipoker.com/combos/qjo.md) - [33 combos](https://georgelipoker.com/combos/33.md) - [QJo vs T8s](https://georgelipoker.com/equity/qjo-vs-t8s.md) - [QJo vs T9o](https://georgelipoker.com/equity/qjo-vs-t9o.md) - [K9o vs 33](https://georgelipoker.com/equity/k9o-vs-33.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 72 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [QJo vs T8s: preflop equity](https://georgelipoker.com/equity/qjo-vs-t8s.md) - [QJo vs T9o: preflop equity](https://georgelipoker.com/equity/qjo-vs-t9o.md) - [K9o vs 33: preflop equity](https://georgelipoker.com/equity/k9o-vs-33.md)