--- title: "QJs vs 22: preflop equity" url: "https://georgelipoker.com/equity/qjs-vs-22.md" canonical_url: "https://georgelipoker.com/equity/qjs-vs-22" last_updated: "2026-10-23" type: "reference" summary: "QJs vs 22 is close to a coin flip before the flop: 52.55% to 47.45% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/qjs-vs-97s.md", "https://georgelipoker.com/equity/qjs-vs-87s.md", "https://georgelipoker.com/equity/k9s-vs-22.md"] --- # QJs vs 22: preflop equity QJs vs 22 is close to a coin flip before the flop: 52.55% to 47.45% equity, counted exactly over every board, with the split by flop type and suit. Before any board card is dealt, QJs holds 52.55% equity against 22, which leaves 22 with 47.45%. ## QJs against 22: the numbers **Exact preflop results for QJs against 22, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | QJs | 51.963 | 1.171 | 46.866 | 52.548 | | 22 | 46.866 | 1.171 | 51.963 | 47.452 | One side is a suited hand, the other is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear. That is a slim edge: neither hand is far ahead. 1.17% of boards are ties, so the equity of each hand is its win rate plus half of that. QJs ranks number 28 of 169 starting hands, and 22 ranks number 87, by equity against a random hand. **Boards behind the percentages: 41,095,296 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | QJs | 21,354,000 | 481,000 | 19,260,000 | | 22 | 19,260,000 | 481,000 | 21,354,000 | The total is exact: 24 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. **QJs 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) | | --- | --- | --- | --- | --- | | QJs | 1.107 | 1.924 | 2.134 | 0.903 | | 22 | 0.903 | 2.134 | 1.924 | 1.107 | 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 If you know the kind of flop that came, the numbers shift: QJs holds 58.00% on rainbow flops topped by a ten or better and 26.57% on low rainbow flops (nine high or lower). Low rainbow flops (nine high or lower) favor 22, the hand that is behind overall. **QJs against 22 by flop texture, in percent** | Flop | Share of flops | QJs wins | Ties | 22 wins | QJs equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.595 | 57.739 | 0.522 | 41.739 | 58.000 | | Rainbow, nine or lower | 6.314 | 25.944 | 1.253 | 72.803 | 26.571 | | Two-tone | 46.545 | 53.178 | 0.629 | 46.193 | 53.492 | | Monotone | 5.212 | 50.015 | 3.950 | 46.035 | 51.990 | | Paired | 17.334 | 50.565 | 2.683 | 46.752 | 51.907 | 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 The table below sets each hand against its own random-hand baseline: a change of -7.71 points for QJs, from 60.26%, and -2.88 for 22, from 50.33%. **QJs 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 | | --- | --- | --- | --- | --- | | QJs, all flops | 52.548 | 60.259 | -7.711 | 0.87204 | | QJs, rainbow, ten or higher | 58.000 | 60.259 | -2.259 | 0.96251 | | QJs, rainbow, nine or lower | 26.571 | 60.259 | -33.688 | 0.44095 | | QJs, two-tone | 53.492 | 60.259 | -6.767 | 0.88770 | | QJs, monotone | 51.990 | 60.259 | -8.269 | 0.86278 | | QJs, paired | 51.907 | 60.259 | -8.352 | 0.86140 | | 22, all flops | 47.452 | 50.334 | -2.882 | 0.94274 | | 22, rainbow, ten or higher | 42.000 | 50.334 | -8.334 | 0.83443 | | 22, rainbow, nine or lower | 73.429 | 50.334 | +23.095 | 1.45883 | | 22, two-tone | 46.508 | 50.334 | -3.826 | 0.92399 | | 22, monotone | 48.010 | 50.334 | -2.324 | 0.95383 | | 22, paired | 48.093 | 50.334 | -2.241 | 0.95548 | ## Does a shared suit matter? When the hands share a suit, QJs holds 52.39%; when they do not, it holds 52.71%. QJs does better with no shared suit, by 0.32 points. **QJs against 22 by suit overlap, in percent** | Deals | Specific deals | Share of deals | QJs wins | Ties | 22 wins | QJs equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 50.00 | 51.792 | 1.192 | 47.016 | 52.388 | | No shared suit | 12 | 50.00 | 52.133 | 1.151 | 46.716 | 52.709 | ## How often this matchup comes up Counting specific cards, QJs against 22 appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%). ## A worked example Try it with money: two players each put in $100 and the whole board runs out every possible way. QJs averages $105.10 from the $200, up $5.10; 22 averages $94.90, down $5.10. Think in thousands: about 519 of 1,000 go to QJs, about 469 go to 22, and about 12 are chopped. ## The same matchup from the other side 22 versus QJs is this same page seen from the other hand: 47.45% for 22, 52.55% for QJs. ## Keep exploring QsJs against 2h2d 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 QsJs against 2h2d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=QsJs&p2=2h2d) - [QJs combos](https://georgelipoker.com/combos/qjs.md) - [22 combos](https://georgelipoker.com/combos/22.md) - [QJs vs 97s](https://georgelipoker.com/equity/qjs-vs-97s.md) - [QJs vs 87s](https://georgelipoker.com/equity/qjs-vs-87s.md) - [K9s vs 22](https://georgelipoker.com/equity/k9s-vs-22.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 QJs and one 22 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 - [QJs vs 97s: preflop equity](https://georgelipoker.com/equity/qjs-vs-97s.md) - [QJs vs 87s: preflop equity](https://georgelipoker.com/equity/qjs-vs-87s.md) - [K9s vs 22: preflop equity](https://georgelipoker.com/equity/k9s-vs-22.md)