--- title: "QJo vs T9s: preflop equity" url: "https://georgelipoker.com/equity/qjo-vs-t9s.md" canonical_url: "https://georgelipoker.com/equity/qjo-vs-t9s" last_updated: "2026-10-23" type: "reference" summary: "QJo is a big favorite over T9s before the flop: 62.14% to 37.86% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/qjo-vs-33.md", "https://georgelipoker.com/equity/qjo-vs-t8s.md", "https://georgelipoker.com/equity/k9o-vs-t9s.md"] --- # QJo vs T9s: preflop equity QJo is a big favorite over T9s before the flop: 62.14% to 37.86% equity, counted exactly over every board, with the split by flop type and suit. Counting every board, the equity split is 62.14% for QJo and 37.86% for T9s, so QJo leads by 24.28 points. ## QJo against T9s: the numbers **Exact preflop results for QJo against T9s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | QJo | 61.682 | 0.914 | 37.404 | 62.139 | | T9s | 37.404 | 0.914 | 61.682 | 37.861 | QJo and T9s are an offsuit hand and a suited hand, in that order. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other. A 24.28 point lead is real, and T9s still takes about 374 of every 1,000 deals outright. Ties are part of the picture: 0.91% of boards end in a split pot, and each side counts that as half a win. The hand ranking puts QJo at 39 and T9s at 64 out of 169 starting hands. **Boards behind the percentages: 82,190,592 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | QJo | 50,697,000 | 751,000 | 30,743,000 | | T9s | 30,743,000 | 751,000 | 50,697,000 | The board total is exact, 48 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 T9s 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 | 1.641 | 1.621 | 2.674 | 0.609 | | T9s | 0.609 | 2.674 | 1.621 | 1.641 | 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 QJo prefers rainbow flops topped by a ten or better, where it holds 66.77%, and likes low rainbow flops (nine high or lower) least, where it holds 52.97%. QJo stays ahead on all five textures. **QJo against T9s by flop texture, in percent** | Flop | Share of flops | QJo wins | Ties | T9s wins | QJo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.988 | 66.541 | 0.452 | 33.007 | 66.767 | | Rainbow, nine or lower | 7.042 | 52.607 | 0.729 | 46.664 | 52.971 | | Two-tone | 46.667 | 60.623 | 0.481 | 38.896 | 60.863 | | Monotone | 5.212 | 58.992 | 2.538 | 38.470 | 60.261 | | Paired | 17.091 | 62.311 | 2.327 | 35.362 | 63.475 | Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank. ## Compared with a random hand A random hand would give QJo 58.14% and T9s 54.03%. Against each other the change is +4.00 points for QJo and -16.17 for T9s. **QJo and T9s 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 | 62.139 | 58.135 | +4.004 | 1.06887 | | QJo, rainbow, ten or higher | 66.767 | 58.135 | +8.632 | 1.14848 | | QJo, rainbow, nine or lower | 52.971 | 58.135 | -5.164 | 0.91117 | | QJo, two-tone | 60.863 | 58.135 | +2.728 | 1.04693 | | QJo, monotone | 60.261 | 58.135 | +2.126 | 1.03657 | | QJo, paired | 63.475 | 58.135 | +5.340 | 1.09186 | | T9s, all flops | 37.861 | 54.028 | -16.167 | 0.70077 | | T9s, rainbow, ten or higher | 33.233 | 54.028 | -20.795 | 0.61511 | | T9s, rainbow, nine or lower | 47.029 | 54.028 | -6.999 | 0.87046 | | T9s, two-tone | 39.137 | 54.028 | -14.891 | 0.72438 | | T9s, monotone | 39.739 | 54.028 | -14.289 | 0.73553 | | T9s, paired | 36.525 | 54.028 | -17.503 | 0.67604 | ## Does a shared suit matter? Suit overlap shows up in the numbers. With a suit in common QJo has 62.82% equity, and with none in common it has 61.46%. QJo does better with a shared suit, by 1.36 points. **QJo against T9s by suit overlap, in percent** | Deals | Specific deals | Share of deals | QJo wins | Ties | T9s wins | QJo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 24 | 50.00 | 62.339 | 0.955 | 36.706 | 62.817 | | No shared suit | 24 | 50.00 | 61.024 | 0.874 | 38.102 | 61.461 | ## How often this matchup comes up How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are QJo against T9s, and 96 (0.0059%) if either hand may sit in either seat. ## A worked example To see what the equity is worth, imagine $100 each in a $200 pot. QJo is worth $124.28 on average (+$24.28); T9s is worth $75.72 (-$24.28). In 1,000 deals of exactly this matchup, expect about 617 won outright by QJo, about 374 won outright by T9s and about 9 split. ## The same matchup from the other side The mirror image, T9s against QJo, is 37.86% to 62.14%, and its address redirects to this page. ## Keep exploring Open the calculator with QsJh against Td9d 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 Td9d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=QsJh&p2=Td9d) - [QJo combos](https://georgelipoker.com/combos/qjo.md) - [T9s combos](https://georgelipoker.com/combos/t9s.md) - [QJo vs 33](https://georgelipoker.com/equity/qjo-vs-33.md) - [QJo vs T8s](https://georgelipoker.com/equity/qjo-vs-t8s.md) - [K9o vs T9s](https://georgelipoker.com/equity/k9o-vs-t9s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed This is an exact count with no sampling. For the 48 ways to deal one QJo and one T9s 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 - [QJo vs 33: preflop equity](https://georgelipoker.com/equity/qjo-vs-33.md) - [QJo vs T8s: preflop equity](https://georgelipoker.com/equity/qjo-vs-t8s.md) - [K9o vs T9s: preflop equity](https://georgelipoker.com/equity/k9o-vs-t9s.md)