--- title: "QJs vs A4s: preflop equity" url: "https://georgelipoker.com/equity/qjs-vs-a4s.md" canonical_url: "https://georgelipoker.com/equity/qjs-vs-a4s" last_updated: "2026-10-23" type: "reference" summary: "Who is ahead, QJs or A4s? A4s leads 55.93% to 44.07% before the flop, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/qjs-vs-a3s.md", "https://georgelipoker.com/equity/qjs-vs-qjo.md", "https://georgelipoker.com/equity/k9s-vs-a4s.md"] --- # QJs vs A4s: preflop equity Who is ahead, QJs or A4s? A4s leads 55.93% to 44.07% before the flop, counted exactly over every board, with the split by flop type and suit. The exact count puts A4s at 55.93% and QJs at 44.07% when the two hands see all five board cards. ## QJs against A4s: the numbers **Exact preflop results for QJs against A4s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | QJs | 43.807 | 0.524 | 55.669 | 44.069 | | A4s | 55.669 | 0.524 | 43.807 | 55.931 | Both hands are suited hands: QJs and A4s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other. A4s is ahead, but QJs is far from dead: it takes 438 of every 1,000 deals outright. About 0.52% of boards chop the pot, which is why equity sits slightly above the win figure for both hands. QJs ranks number 28 of 169 starting hands, and A4s ranks number 35, 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 | 12,002,000 | 144,000 | 15,252,000 | | A4s | 15,252,000 | 144,000 | 12,002,000 | Exact total: 16 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. **QJs against A4s 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 | 0.788 | 2.283 | 1.796 | 1.269 | | A4s | 1.269 | 1.796 | 2.283 | 0.788 | 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 The flop changes the picture. A4s does best on low rainbow flops (nine high or lower), at 73.58%, and worst on rainbow flops topped by a ten or better, at 49.60%. Rainbow flops topped by a ten or better favor QJs, the hand that is behind overall. **QJs against A4s by flop texture, in percent** | Flop | Share of flops | QJs wins | Ties | A4s wins | QJs equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.867 | 50.341 | 0.113 | 49.546 | 50.397 | | Rainbow, nine or lower | 7.042 | 25.904 | 1.030 | 73.066 | 26.419 | | Two-tone | 46.727 | 45.128 | 0.288 | 54.584 | 45.272 | | Monotone | 5.273 | 44.629 | 3.438 | 51.933 | 46.348 | | Paired | 17.091 | 38.195 | 0.637 | 61.168 | 38.514 | 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 How much does the opponent matter? Compared with its random-hand 60.26%, QJs changes by -16.19 points, and A4s, from 59.03%, by -3.10. **QJs and A4s 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 | 44.069 | 60.259 | -16.190 | 0.73133 | | QJs, rainbow, ten or higher | 50.397 | 60.259 | -9.862 | 0.83634 | | QJs, rainbow, nine or lower | 26.419 | 60.259 | -33.840 | 0.43842 | | QJs, two-tone | 45.272 | 60.259 | -14.987 | 0.75129 | | QJs, monotone | 46.348 | 60.259 | -13.911 | 0.76915 | | QJs, paired | 38.514 | 60.259 | -21.745 | 0.63914 | | A4s, all flops | 55.931 | 59.034 | -3.103 | 0.94744 | | A4s, rainbow, ten or higher | 49.603 | 59.034 | -9.431 | 0.84024 | | A4s, rainbow, nine or lower | 73.581 | 59.034 | +14.547 | 1.24642 | | A4s, two-tone | 54.728 | 59.034 | -4.306 | 0.92706 | | A4s, monotone | 53.652 | 59.034 | -5.382 | 0.90883 | | A4s, paired | 61.486 | 59.034 | +2.452 | 1.04154 | ## Does a shared suit matter? Of the deals of this matchup, 4 share a suit (A4s at 57.69%) and 12 do not (55.34%). A4s does better with a shared suit, by 2.35 points. **QJs against A4s by suit overlap, in percent** | Deals | Specific deals | Share of deals | QJs wins | Ties | A4s wins | QJs equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 4 | 25.00 | 42.006 | 0.606 | 57.388 | 42.309 | | No shared suit | 12 | 75.00 | 44.407 | 0.497 | 55.096 | 44.656 | ## How often this matchup comes up Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%. ## A worked example Worked example: both players commit $100, so $200 sits in the middle. Over every board, A4s' average share is $111.86 (a gain of $11.86) and QJs' is $88.14 (a loss of $11.86). Run 1,000 deals and the tally comes out near 557 for A4s, 438 for QJs and 5 ties. ## The same matchup from the other side If you came looking for A4s against QJs, the numbers are the same with the hands swapped: 55.93% and 44.07%. ## Keep exploring Open the calculator with QsJs against Ah4h 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 QsJs against Ah4h in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=QsJs&p2=Ah4h) - [QJs combos](https://georgelipoker.com/combos/qjs.md) - [A4s combos](https://georgelipoker.com/combos/a4s.md) - [QJs vs A3s](https://georgelipoker.com/equity/qjs-vs-a3s.md) - [QJs vs QJo](https://georgelipoker.com/equity/qjs-vs-qjo.md) - [K9s vs A4s](https://georgelipoker.com/equity/k9s-vs-a4s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed This is an exact count with no sampling. For the 16 ways to deal one QJs and one A4s 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 A3s: preflop equity](https://georgelipoker.com/equity/qjs-vs-a3s.md) - [QJs vs QJo: preflop equity](https://georgelipoker.com/equity/qjs-vs-qjo.md) - [K9s vs A4s: preflop equity](https://georgelipoker.com/equity/k9s-vs-a4s.md)