--- title: "77 vs 33: preflop equity" url: "https://georgelipoker.com/equity/77-vs-33.md" canonical_url: "https://georgelipoker.com/equity/77-vs-33" last_updated: "2026-10-23" type: "reference" summary: "77 is a big favorite over 33 before the flop: 81.39% to 18.61% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/77-vs-t8s.md", "https://georgelipoker.com/equity/77-vs-t9o.md", "https://georgelipoker.com/equity/aqs-vs-33.md"] --- # 77 vs 33: preflop equity 77 is a big favorite over 33 before the flop: 81.39% to 18.61% equity, counted exactly over every board, with the split by flop type and suit. Over all 1,712,304 boards that can follow this deal, 77 finishes with 81.39% of the pot and 33 with 18.61%. ## 77 against 33: the numbers **Exact preflop results for 77 against 33, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | 77 | 80.670 | 1.432 | 17.898 | 81.386 | | 33 | 17.898 | 1.432 | 80.670 | 18.614 | The matchup is pocket pairs on both sides, 77 against 33. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set. This is one of the lopsided matchups: 33 wins only 17.90% of the boards outright. Ties are part of the picture: 1.43% of boards end in a split pot, and each side counts that as half a win. For context, 77 sits at number 9 of 169 starting hands and 33 at number 66 when each is run against a random hand. **Boards behind the percentages: 61,642,944 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | 77 | 49,727,000 | 883,000 | 11,033,000 | | 33 | 11,033,000 | 883,000 | 49,727,000 | Exact total: 36 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 33 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 | 4.372 | 1.240 | 5.587 | 0.229 | | 33 | 0.229 | 5.587 | 1.240 | 4.372 | 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 Across the five flop textures 77's equity moves by 11.07 points, from 74.26% on low rainbow flops (nine high or lower) to 85.33% on paired flops. 77 stays ahead on all five textures. **77 against 33 by flop texture, in percent** | Flop | Share of flops | 77 wins | Ties | 33 wins | 77 equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 25.844 | 82.134 | 0.864 | 17.002 | 82.566 | | Rainbow, nine or lower | 5.065 | 73.887 | 0.753 | 25.360 | 74.263 | | Two-tone | 46.363 | 80.184 | 0.829 | 18.987 | 80.599 | | Monotone | 5.152 | 74.713 | 2.738 | 22.549 | 76.082 | | Paired | 17.576 | 83.498 | 3.673 | 12.829 | 85.334 | Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank. ## Compared with a random hand How much does the opponent matter? Compared with its random-hand 66.24%, 77 changes by +15.15 points, and 33, from 53.69%, by -35.08. **77 and 33 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 | 81.386 | 66.236 | +15.150 | 1.22873 | | 77, rainbow, ten or higher | 82.566 | 66.236 | +16.330 | 1.24654 | | 77, rainbow, nine or lower | 74.263 | 66.236 | +8.027 | 1.12119 | | 77, two-tone | 80.599 | 66.236 | +14.363 | 1.21685 | | 77, monotone | 76.082 | 66.236 | +9.846 | 1.14865 | | 77, paired | 85.334 | 66.236 | +19.098 | 1.28833 | | 33, all flops | 18.614 | 53.693 | -35.079 | 0.34667 | | 33, rainbow, ten or higher | 17.434 | 53.693 | -36.259 | 0.32470 | | 33, rainbow, nine or lower | 25.737 | 53.693 | -27.956 | 0.47934 | | 33, two-tone | 19.401 | 53.693 | -34.292 | 0.36133 | | 33, monotone | 23.918 | 53.693 | -29.775 | 0.44546 | | 33, paired | 14.666 | 53.693 | -39.027 | 0.27315 | ## Does a shared suit matter? Suit overlap shows up in the numbers. With a suit in common 77 has 81.52% equity, and with none in common it has 80.71%. 77 does better with a shared suit, by 0.81 points. **77 against 33 by suit overlap, in percent** | Deals | Specific deals | Share of deals | 77 wins | Ties | 33 wins | 77 equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 30 | 83.33 | 80.799 | 1.443 | 17.758 | 81.520 | | No shared suit | 6 | 16.67 | 80.025 | 1.377 | 18.598 | 80.714 | ## How often this matchup comes up Counting specific cards, 77 against 33 appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%). ## A worked example Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $162.78 of it, which is $62.78 more than it put in, and 33 takes back $37.22, $62.78 less than it put in. A thousand deals look like this: 77 takes 807, 33 takes 179, 14 are ties. ## The same matchup from the other side Read it from the other side: 33 against 77 is the same matchup with the numbers swapped, so 33 holds 18.61% and 77 holds 81.39%. That address sends you back to this page. ## Keep exploring Try 7s7h against 3d3c in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking. - [Open 7s7h against 3d3c in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=7s7h&p2=3d3c) - [77 combos](https://georgelipoker.com/combos/77.md) - [33 combos](https://georgelipoker.com/combos/33.md) - [77 vs T8s](https://georgelipoker.com/equity/77-vs-t8s.md) - [77 vs T9o](https://georgelipoker.com/equity/77-vs-t9o.md) - [AQs vs 33](https://georgelipoker.com/equity/aqs-vs-33.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [77 vs T8s: preflop equity](https://georgelipoker.com/equity/77-vs-t8s.md) - [77 vs T9o: preflop equity](https://georgelipoker.com/equity/77-vs-t9o.md) - [AQs vs 33: preflop equity](https://georgelipoker.com/equity/aqs-vs-33.md)