--- title: "QJo vs 22: preflop equity" url: "https://georgelipoker.com/equity/qjo-vs-22.md" canonical_url: "https://georgelipoker.com/equity/qjo-vs-22" last_updated: "2026-10-23" type: "reference" summary: "QJo vs 22 is close to a coin flip before the flop: 50.23% to 49.77% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/qjo-vs-97s.md", "https://georgelipoker.com/equity/qjo-vs-87s.md", "https://georgelipoker.com/equity/k9o-vs-22.md"] --- # QJo vs 22: preflop equity QJo vs 22 is close to a coin flip before the flop: 50.23% to 49.77% equity, counted exactly over every board, with the split by flop type and suit. Counting every board, the equity split is 50.23% for QJo and 49.77% for 22, so QJo leads by 0.46 points. ## QJo against 22: the numbers **Exact preflop results for QJo against 22, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | QJo | 49.644 | 1.168 | 49.188 | 50.228 | | 22 | 49.188 | 1.168 | 49.644 | 49.772 | QJo and 22 are an offsuit hand and a pocket pair, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect. That is a slim edge: neither hand is far ahead. The tie share is 1.17%: on those boards the pot is chopped and neither hand wins outright. By strength against a random hand, QJo holds place 39 of 169 and 22 holds place 87. **Boards behind the percentages: 123,285,888 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | QJo | 61,204,000 | 1,440,000 | 60,642,000 | | 22 | 60,642,000 | 1,440,000 | 61,204,000 | The board total is exact, 72 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages. **QJo against 22 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 | 1.009 | 2.014 | 2.033 | 0.991 | | 22 | 0.991 | 2.033 | 2.014 | 1.009 | 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 Break the boards down by their first three cards and QJo is strongest on rainbow flops topped by a ten or better (56.68%) and weakest on low rainbow flops (nine high or lower) (24.01%). Low rainbow flops (nine high or lower) and paired flops favor 22, the hand that is behind overall. **QJo against 22 by flop texture, in percent** | Flop | Share of flops | QJo wins | Ties | 22 wins | QJo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.717 | 56.407 | 0.538 | 43.055 | 56.676 | | Rainbow, nine or lower | 6.314 | 23.350 | 1.314 | 75.336 | 24.007 | | Two-tone | 46.485 | 49.904 | 0.678 | 49.418 | 50.243 | | Monotone | 5.151 | 50.925 | 2.917 | 46.158 | 52.384 | | Paired | 17.333 | 48.500 | 2.809 | 48.691 | 49.904 | 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: 58.14% for QJo, 50.33% for 22. Here the change is -7.91 and -0.56 points. **QJo and 22 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 | 50.228 | 58.135 | -7.907 | 0.86399 | | QJo, rainbow, ten or higher | 56.676 | 58.135 | -1.459 | 0.97490 | | QJo, rainbow, nine or lower | 24.007 | 58.135 | -34.128 | 0.41295 | | QJo, two-tone | 50.243 | 58.135 | -7.892 | 0.86425 | | QJo, monotone | 52.384 | 58.135 | -5.751 | 0.90108 | | QJo, paired | 49.904 | 58.135 | -8.231 | 0.85842 | | 22, all flops | 49.772 | 50.334 | -0.562 | 0.98883 | | 22, rainbow, ten or higher | 43.324 | 50.334 | -7.010 | 0.86073 | | 22, rainbow, nine or lower | 75.993 | 50.334 | +25.659 | 1.50977 | | 22, two-tone | 49.757 | 50.334 | -0.577 | 0.98854 | | 22, monotone | 47.616 | 50.334 | -2.718 | 0.94600 | | 22, paired | 50.096 | 50.334 | -0.238 | 0.99527 | ## Does a shared suit matter? The suit split reads 50.32% for QJo with a shared suit and 49.79% without one. QJo does better with a shared suit, by 0.53 points. **QJo against 22 by suit overlap, in percent** | Deals | Specific deals | Share of deals | QJo wins | Ties | 22 wins | QJo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 60 | 83.33 | 49.728 | 1.175 | 49.097 | 50.315 | | No shared suit | 12 | 16.67 | 49.228 | 1.132 | 49.640 | 49.794 | ## How often this matchup comes up QJo against 22 is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%. ## A worked example Put $100 each into a $200 pot and deal every board once: QJo averages $100.46 back, ahead of its $100 by $0.46, while 22 averages $99.54, short of its $100 by $0.46. Per 1,000 deals: QJo wins about 496, 22 wins about 492, and about 12 end in a split pot. ## The same matchup from the other side Swap the hands and you get 22 with 49.77% against QJo with 50.23%. We keep one page per matchup, with the better-ranked hand first. ## Keep exploring QsJh against 2d2c 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 QsJh against 2d2c in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=QsJh&p2=2d2c) - [QJo combos](https://georgelipoker.com/combos/qjo.md) - [22 combos](https://georgelipoker.com/combos/22.md) - [QJo vs 97s](https://georgelipoker.com/equity/qjo-vs-97s.md) - [QJo vs 87s](https://georgelipoker.com/equity/qjo-vs-87s.md) - [K9o vs 22](https://georgelipoker.com/equity/k9o-vs-22.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 97s: preflop equity](https://georgelipoker.com/equity/qjo-vs-97s.md) - [QJo vs 87s: preflop equity](https://georgelipoker.com/equity/qjo-vs-87s.md) - [K9o vs 22: preflop equity](https://georgelipoker.com/equity/k9o-vs-22.md)