--- title: "QJs vs A3s: preflop equity" url: "https://georgelipoker.com/equity/qjs-vs-a3s.md" canonical_url: "https://georgelipoker.com/equity/qjs-vs-a3s" last_updated: "2026-10-23" type: "reference" summary: "Who is ahead, QJs or A3s? A3s leads 55.85% to 44.15% before the flop, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/qjs-vs-qjo.md", "https://georgelipoker.com/equity/qjs-vs-k9o.md", "https://georgelipoker.com/equity/k9s-vs-a3s.md"] --- # QJs vs A3s: preflop equity Who is ahead, QJs or A3s? A3s leads 55.85% to 44.15% before the flop, counted exactly over every board, with the split by flop type and suit. Averaged over every possible board, A3s is ahead of QJs by 11.70 points of equity, 55.85% to 44.15%. ## QJs against A3s: the numbers **Exact preflop results for QJs against A3s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | QJs | 43.884 | 0.536 | 55.580 | 44.152 | | A3s | 55.580 | 0.536 | 43.884 | 55.848 | Two suited hands meet here: QJs against A3s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits. A 11.70 point lead is real, and QJs still takes about 439 of every 1,000 deals outright. Of every 100 boards, about 0.54 are split pots, and the equity figures already include them. QJs ranks number 28 of 169 starting hands, and A3s ranks number 38, by equity against a random hand. **Boards behind the percentages: 27,396,864 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | QJs | 12,023,000 | 147,000 | 15,227,000 | | A3s | 15,227,000 | 147,000 | 12,023,000 | The total is exact: 16 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 A3s 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 | 0.791 | 2.279 | 1.799 | 1.265 | | A3s | 1.265 | 1.799 | 2.279 | 0.791 | 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 The flop changes the picture. A3s does best on low rainbow flops (nine high or lower), at 73.36%, and worst on rainbow flops topped by a ten or better, at 49.53%. QJs is ahead on rainbow flops topped by a ten or better, even though it trails A3s when every flop is counted. **QJs against A3s by flop texture, in percent** | Flop | Share of flops | QJs wins | Ties | A3s wins | QJs equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.867 | 50.419 | 0.113 | 49.468 | 50.475 | | Rainbow, nine or lower | 7.042 | 26.086 | 1.099 | 72.815 | 26.636 | | Two-tone | 46.727 | 45.217 | 0.300 | 54.483 | 45.367 | | Monotone | 5.273 | 44.696 | 3.443 | 51.861 | 46.418 | | Paired | 17.091 | 38.195 | 0.641 | 61.164 | 38.516 | 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 Relative to a random opponent, QJs changes by -16.11 points (baseline 60.26%) and A3s by -2.37 points (baseline 58.22%). **QJs and A3s 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 | 44.152 | 60.259 | -16.107 | 0.73270 | | QJs, rainbow, ten or higher | 50.475 | 60.259 | -9.784 | 0.83763 | | QJs, rainbow, nine or lower | 26.636 | 60.259 | -33.623 | 0.44203 | | QJs, two-tone | 45.367 | 60.259 | -14.892 | 0.75287 | | QJs, monotone | 46.418 | 60.259 | -13.841 | 0.77031 | | QJs, paired | 38.516 | 60.259 | -21.743 | 0.63917 | | A3s, all flops | 55.848 | 58.220 | -2.372 | 0.95926 | | A3s, rainbow, ten or higher | 49.525 | 58.220 | -8.695 | 0.85065 | | A3s, rainbow, nine or lower | 73.364 | 58.220 | +15.144 | 1.26012 | | A3s, two-tone | 54.633 | 58.220 | -3.587 | 0.93839 | | A3s, monotone | 53.582 | 58.220 | -4.638 | 0.92034 | | A3s, paired | 61.484 | 58.220 | +3.264 | 1.05606 | ## Does a shared suit matter? Looking only at deals where the hands share a suit, A3s has 57.60%; looking only at deals where they do not, 55.27%. A3s does better with a shared suit, by 2.33 points. **QJs against A3s by suit overlap, in percent** | Deals | Specific deals | Share of deals | QJs wins | Ties | A3s wins | QJs equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 4 | 25.00 | 42.091 | 0.618 | 57.291 | 42.400 | | No shared suit | 12 | 75.00 | 44.481 | 0.508 | 55.011 | 44.735 | ## How often this matchup comes up QJs against A3s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%. ## A worked example Worked example: both players commit $100, so $200 sits in the middle. Over every board, A3s' average share is $111.70 (a gain of $11.70) and QJs' is $88.30 (a loss of $11.70). Per 1,000 deals: A3s wins about 556, QJs wins about 439, and about 5 end in a split pot. ## The same matchup from the other side Read it from the other side: A3s against QJs is the same matchup with the numbers swapped, so A3s holds 55.85% and QJs holds 44.15%. That address sends you back to this page. ## Keep exploring QsJs against Ah3h 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 Ah3h in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=QsJs&p2=Ah3h) - [QJs combos](https://georgelipoker.com/combos/qjs.md) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [QJs vs QJo](https://georgelipoker.com/equity/qjs-vs-qjo.md) - [QJs vs K9o](https://georgelipoker.com/equity/qjs-vs-k9o.md) - [K9s vs A3s](https://georgelipoker.com/equity/k9s-vs-a3s.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 16 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 - [QJs vs QJo: preflop equity](https://georgelipoker.com/equity/qjs-vs-qjo.md) - [QJs vs K9o: preflop equity](https://georgelipoker.com/equity/qjs-vs-k9o.md) - [K9s vs A3s: preflop equity](https://georgelipoker.com/equity/k9s-vs-a3s.md)