--- title: "33 vs 76s: preflop equity" url: "https://georgelipoker.com/equity/33-vs-76s.md" canonical_url: "https://georgelipoker.com/equity/33-vs-76s" last_updated: "2026-10-23" type: "reference" summary: "33 vs 76s is close to a coin flip before the flop: 48.25% to 51.75% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/33-vs-75s.md", "https://georgelipoker.com/equity/33-vs-65s.md", "https://georgelipoker.com/equity/t8s-vs-76s.md"] --- # 33 vs 76s: preflop equity 33 vs 76s is close to a coin flip before the flop: 48.25% to 51.75% 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, 76s finishes with 51.75% of the pot and 33 with 48.25%. ## 33 against 76s: the numbers **Exact preflop results for 33 against 76s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | 33 | 47.134 | 2.233 | 50.633 | 48.251 | | 76s | 50.633 | 2.233 | 47.134 | 51.749 | The matchup pits a pocket pair against a suited hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect. That is a slim edge: neither hand is far ahead. Ties are part of the picture: 2.23% of boards end in a split pot, and each side counts that as half a win. 33 ranks number 66 of 169 starting hands, and 76s ranks number 115, by equity against a random hand. **Boards behind the percentages: 41,095,296 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | 33 | 19,370,000 | 918,000 | 20,808,000 | | 76s | 20,808,000 | 918,000 | 19,370,000 | The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand. **33 against 76s read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | 33 | 0.932 | 2.122 | 1.975 | 1.072 | | 76s | 1.072 | 1.975 | 2.122 | 0.932 | 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 If you know the kind of flop that came, the numbers shift: 76s holds 61.90% on low rainbow flops (nine high or lower) and 47.85% on paired flops. Rainbow flops topped by a ten or better and paired flops favor 33, the hand that is behind overall. **33 against 76s by flop texture, in percent** | Flop | Share of flops | 33 wins | Ties | 76s wins | 33 equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 25.844 | 49.893 | 1.295 | 48.812 | 50.541 | | Rainbow, nine or lower | 5.065 | 37.697 | 0.812 | 61.491 | 38.103 | | Two-tone | 46.545 | 46.041 | 1.157 | 52.802 | 46.620 | | Monotone | 5.212 | 46.415 | 3.855 | 49.730 | 48.342 | | Paired | 17.334 | 48.928 | 6.450 | 44.622 | 52.153 | 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 Against one random hand instead, 33 holds 53.69% and 76s holds 45.37%. Facing each other changes that by -5.44 points for 33 and +6.38 points for 76s. **33 and 76s 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 | | --- | --- | --- | --- | --- | | 33, all flops | 48.251 | 53.693 | -5.442 | 0.89865 | | 33, rainbow, ten or higher | 50.541 | 53.693 | -3.152 | 0.94130 | | 33, rainbow, nine or lower | 38.103 | 53.693 | -15.590 | 0.70965 | | 33, two-tone | 46.620 | 53.693 | -7.073 | 0.86827 | | 33, monotone | 48.342 | 53.693 | -5.351 | 0.90034 | | 33, paired | 52.153 | 53.693 | -1.540 | 0.97132 | | 76s, all flops | 51.749 | 45.372 | +6.377 | 1.14055 | | 76s, rainbow, ten or higher | 49.459 | 45.372 | +4.087 | 1.09008 | | 76s, rainbow, nine or lower | 61.897 | 45.372 | +16.525 | 1.36421 | | 76s, two-tone | 53.380 | 45.372 | +8.008 | 1.17650 | | 76s, monotone | 51.658 | 45.372 | +6.286 | 1.13854 | | 76s, paired | 47.847 | 45.372 | +2.475 | 1.05455 | ## Does a shared suit matter? Of the deals of this matchup, 12 share a suit (76s at 51.62%) and 12 do not (51.88%). 76s does better with no shared suit, by 0.26 points. **33 against 76s by suit overlap, in percent** | Deals | Specific deals | Share of deals | 33 wins | Ties | 76s wins | 33 equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 50.00 | 47.246 | 2.260 | 50.494 | 48.376 | | No shared suit | 12 | 50.00 | 47.022 | 2.206 | 50.772 | 48.125 | ## How often this matchup comes up 33 against 76s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%. ## A worked example Put $100 each into a $200 pot and deal every board once: 76s averages $103.50 back, ahead of its $100 by $3.50, while 33 averages $96.50, short of its $100 by $3.50. Over a long run, 1,000 deals split into about 506 for 76s, 472 for 33 and 22 tied. ## The same matchup from the other side The reversed view, 76s against 33, shows 51.75% for 76s and 48.25% for 33. It is the same count, so it redirects here. ## Keep exploring 3s3h against 7d6d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength. - [Open 3s3h against 7d6d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=3s3h&p2=7d6d) - [33 combos](https://georgelipoker.com/combos/33.md) - [76s combos](https://georgelipoker.com/combos/76s.md) - [33 vs 75s](https://georgelipoker.com/equity/33-vs-75s.md) - [33 vs 65s](https://georgelipoker.com/equity/33-vs-65s.md) - [T8s vs 76s](https://georgelipoker.com/equity/t8s-vs-76s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [33 vs 75s: preflop equity](https://georgelipoker.com/equity/33-vs-75s.md) - [33 vs 65s: preflop equity](https://georgelipoker.com/equity/33-vs-65s.md) - [T8s vs 76s: preflop equity](https://georgelipoker.com/equity/t8s-vs-76s.md)