--- title: "QTo vs 75s: preflop equity" url: "https://georgelipoker.com/equity/qto-vs-75s.md" canonical_url: "https://georgelipoker.com/equity/qto-vs-75s" last_updated: "2026-10-23" type: "reference" summary: "QTo is a big favorite over 75s before the flop: 61.27% to 38.74% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/qto-vs-65s.md", "https://georgelipoker.com/equity/qto-vs-54s.md", "https://georgelipoker.com/equity/44-vs-75s.md"] --- # QTo vs 75s: preflop equity QTo is a big favorite over 75s before the flop: 61.27% to 38.74% equity, counted exactly over every board, with the split by flop type and suit. Before any board card is dealt, QTo holds 61.27% equity against 75s, which leaves 75s with 38.73%. ## QTo against 75s: the numbers **Exact preflop results for QTo against 75s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | QTo | 60.814 | 0.902 | 38.284 | 61.265 | | 75s | 38.284 | 0.902 | 60.814 | 38.735 | One side is an offsuit hand, the other is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances. A 22.54 point lead is real, and 75s still takes about 383 of every 1,000 deals outright. Ties are part of the picture: 0.90% of boards end in a split pot, and each side counts that as half a win. Ranked by equity against a random hand, QTo is number 47 of the 169 starting hands and 75s is number 124. **Boards behind the percentages: 82,190,592 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | QTo | 49,983,000 | 741,000 | 31,466,000 | | 75s | 31,466,000 | 741,000 | 49,983,000 | 48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand. **QTo against 75s read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | QTo | 1.582 | 1.644 | 2.612 | 0.632 | | 75s | 0.632 | 2.612 | 1.644 | 1.582 | 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 QTo prefers rainbow flops topped by a ten or better, where it holds 69.79%, and likes low rainbow flops (nine high or lower) least, where it holds 35.57%. The lead reverses on low rainbow flops (nine high or lower): there 75s is the favorite even though QTo is ahead overall. **QTo against 75s by flop texture, in percent** | Flop | Share of flops | QTo wins | Ties | 75s wins | QTo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.717 | 69.545 | 0.495 | 29.960 | 69.792 | | Rainbow, nine or lower | 6.313 | 35.289 | 0.564 | 64.147 | 35.571 | | Two-tone | 46.667 | 59.664 | 0.480 | 39.856 | 59.904 | | Monotone | 5.212 | 58.120 | 2.554 | 39.326 | 59.397 | | Paired | 17.091 | 61.580 | 2.262 | 36.158 | 62.711 | 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 Each hand has a baseline against a random hand: 57.29% for QTo, 43.68% for 75s. Here the change is +3.98 and -4.95 points. **QTo and 75s 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 | | --- | --- | --- | --- | --- | | QTo, all flops | 61.265 | 57.291 | +3.974 | 1.06937 | | QTo, rainbow, ten or higher | 69.792 | 57.291 | +12.501 | 1.21820 | | QTo, rainbow, nine or lower | 35.571 | 57.291 | -21.720 | 0.62088 | | QTo, two-tone | 59.904 | 57.291 | +2.613 | 1.04561 | | QTo, monotone | 59.397 | 57.291 | +2.106 | 1.03676 | | QTo, paired | 62.711 | 57.291 | +5.420 | 1.09460 | | 75s, all flops | 38.735 | 43.676 | -4.941 | 0.88687 | | 75s, rainbow, ten or higher | 30.208 | 43.676 | -13.468 | 0.69164 | | 75s, rainbow, nine or lower | 64.429 | 43.676 | +20.753 | 1.47516 | | 75s, two-tone | 40.096 | 43.676 | -3.580 | 0.91803 | | 75s, monotone | 40.603 | 43.676 | -3.073 | 0.92964 | | 75s, paired | 37.289 | 43.676 | -6.387 | 0.85376 | ## Does a shared suit matter? Split by suits, the deals give QTo 61.99% when the hands overlap in a suit and 60.54% when they do not. QTo does better with a shared suit, by 1.45 points. **QTo against 75s by suit overlap, in percent** | Deals | Specific deals | Share of deals | QTo wins | Ties | 75s wins | QTo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 24 | 50.00 | 61.517 | 0.945 | 37.538 | 61.990 | | No shared suit | 24 | 50.00 | 60.111 | 0.859 | 39.030 | 60.541 | ## How often this matchup comes up Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%. ## A worked example With $100 from each side, the $200 pot is split on average as $122.54 for QTo and $77.46 for 75s; the first side gains $22.54 per all-in and the second gives up $22.54. Per 1,000 deals: QTo wins about 608, 75s wins about 383, and about 9 end in a split pot. ## The same matchup from the other side 75s versus QTo is this same page seen from the other hand: 38.73% for 75s, 61.27% for QTo. ## Keep exploring The calculator link fills in QsTh against 7d5d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength. - [Open QsTh against 7d5d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=QsTh&p2=7d5d) - [QTo combos](https://georgelipoker.com/combos/qto.md) - [75s combos](https://georgelipoker.com/combos/75s.md) - [QTo vs 65s](https://georgelipoker.com/equity/qto-vs-65s.md) - [QTo vs 54s](https://georgelipoker.com/equity/qto-vs-54s.md) - [44 vs 75s](https://georgelipoker.com/equity/44-vs-75s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of QTo against 75s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [QTo vs 65s: preflop equity](https://georgelipoker.com/equity/qto-vs-65s.md) - [QTo vs 54s: preflop equity](https://georgelipoker.com/equity/qto-vs-54s.md) - [44 vs 75s: preflop equity](https://georgelipoker.com/equity/44-vs-75s.md)