--- title: "77 vs QTo: preflop equity" url: "https://georgelipoker.com/equity/77-vs-qto.md" canonical_url: "https://georgelipoker.com/equity/77-vs-qto" last_updated: "2026-10-23" type: "reference" summary: "77 vs QTo is close to a coin flip before the flop: 52.19% to 47.81% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/77-vs-44.md", "https://georgelipoker.com/equity/77-vs-j9s.md", "https://georgelipoker.com/equity/aqs-vs-qto.md"] --- # 77 vs QTo: preflop equity 77 vs QTo is close to a coin flip before the flop: 52.19% to 47.81% equity, counted exactly over every board, with the split by flop type and suit. Averaged over every possible board, 77 is ahead of QTo by 4.38 points of equity, 52.19% to 47.81%. ## 77 against QTo: the numbers **Exact preflop results for 77 against QTo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | 77 | 51.957 | 0.465 | 47.578 | 52.190 | | QTo | 47.578 | 0.465 | 51.957 | 47.810 | 77 and QTo are a pocket pair and an offsuit hand, in that order. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear. With only 4.38 points between them, the board decides this matchup far more than the cards in hand. A split pot comes up on 0.47% of boards, so the wins and the equity differ by half of that. In the ranking of all 169 starting hands, 77 is number 9 and QTo is number 47. **Boards behind the percentages: 123,285,888 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | 77 | 64,056,000 | 573,000 | 58,657,000 | | QTo | 58,657,000 | 573,000 | 64,056,000 | Exact total: 72 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. **77 against QTo read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | 77 | 1.092 | 1.925 | 2.102 | 0.916 | | QTo | 0.916 | 2.102 | 1.925 | 1.092 | 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 By flop texture, 77's equity runs from 44.38% on rainbow flops topped by a ten or better up to 78.30% on low rainbow flops (nine high or lower). QTo is ahead on rainbow flops topped by a ten or better and monotone flops, even though it trails 77 when every flop is counted. **77 against QTo by flop texture, in percent** | Flop | Share of flops | 77 wins | Ties | QTo wins | 77 equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.717 | 44.238 | 0.279 | 55.483 | 44.378 | | Rainbow, nine or lower | 6.314 | 78.024 | 0.551 | 21.425 | 78.299 | | Two-tone | 46.485 | 50.896 | 0.322 | 48.782 | 51.057 | | Monotone | 5.151 | 48.422 | 1.735 | 49.843 | 49.289 | | Paired | 17.333 | 57.368 | 0.702 | 41.930 | 57.719 | 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 Start from the random-hand figures, 66.24% for 77 and 57.29% for QTo. This opponent changes them by -14.05 and -9.48 points. **77 and QTo 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 | | --- | --- | --- | --- | --- | | 77, all flops | 52.190 | 66.236 | -14.046 | 0.78794 | | 77, rainbow, ten or higher | 44.378 | 66.236 | -21.858 | 0.67000 | | 77, rainbow, nine or lower | 78.299 | 66.236 | +12.063 | 1.18212 | | 77, two-tone | 51.057 | 66.236 | -15.179 | 0.77083 | | 77, monotone | 49.289 | 66.236 | -16.947 | 0.74414 | | 77, paired | 57.719 | 66.236 | -8.517 | 0.87141 | | QTo, all flops | 47.810 | 57.291 | -9.481 | 0.83451 | | QTo, rainbow, ten or higher | 55.622 | 57.291 | -1.669 | 0.97087 | | QTo, rainbow, nine or lower | 21.701 | 57.291 | -35.590 | 0.37879 | | QTo, two-tone | 48.943 | 57.291 | -8.348 | 0.85429 | | QTo, monotone | 50.711 | 57.291 | -6.580 | 0.88515 | | QTo, paired | 42.281 | 57.291 | -15.010 | 0.73800 | ## Does a shared suit matter? Split by suits, the deals give 77 52.10% when the hands overlap in a suit and 52.64% when they do not. 77 does better with no shared suit, by 0.54 points. **77 against QTo by suit overlap, in percent** | Deals | Specific deals | Share of deals | 77 wins | Ties | QTo wins | 77 equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 60 | 83.33 | 51.860 | 0.480 | 47.660 | 52.100 | | No shared suit | 12 | 16.67 | 52.446 | 0.386 | 47.168 | 52.639 | ## How often this matchup comes up Out of 1,624,350 ways to deal two seats two cards each, 72 are 77 in one seat and QTo in the other (0.0044%); with the seats swapped too, 144 (0.0089%). ## A worked example Worked example: both players commit $100, so $200 sits in the middle. Over every board, 77's average share is $104.38 (a gain of $4.38) and QTo's is $95.62 (a loss of $4.38). In 1,000 deals of exactly this matchup, expect about 519 won outright by 77, about 476 won outright by QTo and about 5 split. ## The same matchup from the other side The reversed view, QTo against 77, shows 47.81% for QTo and 52.19% for 77. It is the same count, so it redirects here. ## Keep exploring Open the calculator with 7s7h against QdTc 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 7s7h against QdTc in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=7s7h&p2=QdTc) - [77 combos](https://georgelipoker.com/combos/77.md) - [QTo combos](https://georgelipoker.com/combos/qto.md) - [77 vs 44](https://georgelipoker.com/equity/77-vs-44.md) - [77 vs J9s](https://georgelipoker.com/equity/77-vs-j9s.md) - [AQs vs QTo](https://georgelipoker.com/equity/aqs-vs-qto.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 72 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 - [77 vs 44: preflop equity](https://georgelipoker.com/equity/77-vs-44.md) - [77 vs J9s: preflop equity](https://georgelipoker.com/equity/77-vs-j9s.md) - [AQs vs QTo: preflop equity](https://georgelipoker.com/equity/aqs-vs-qto.md)