--- title: "22 vs 75s: preflop equity" url: "https://georgelipoker.com/equity/22-vs-75s.md" canonical_url: "https://georgelipoker.com/equity/22-vs-75s" last_updated: "2026-10-23" type: "reference" summary: "22 vs 75s is close to a coin flip before the flop: 47.97% to 52.04% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/22-vs-65s.md", "https://georgelipoker.com/equity/22-vs-54s.md", "https://georgelipoker.com/equity/97s-vs-75s.md"] --- # 22 vs 75s: preflop equity 22 vs 75s is close to a coin flip before the flop: 47.97% to 52.04% 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, 75s finishes with 52.03% of the pot and 22 with 47.97%. ## 22 against 75s: the numbers **Exact preflop results for 22 against 75s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | 22 | 46.572 | 2.786 | 50.642 | 47.965 | | 75s | 50.642 | 2.786 | 46.572 | 52.035 | Here a pocket pair (22) meets a suited hand (75s). A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead. That is a slim edge: neither hand is far ahead. The tie share is 2.79%: on those boards the pot is chopped and neither hand wins outright. The hand ranking puts 22 at 87 and 75s at 124 out of 169 starting hands. **Boards behind the percentages: 41,095,296 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | 22 | 19,139,000 | 1,145,000 | 20,811,000 | | 75s | 20,811,000 | 1,145,000 | 19,139,000 | 24 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. **22 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) | | --- | --- | --- | --- | --- | | 22 | 0.922 | 2.147 | 1.975 | 1.085 | | 75s | 1.085 | 1.975 | 2.147 | 0.922 | 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 Break the boards down by their first three cards and 75s is strongest on low rainbow flops (nine high or lower) (63.86%) and weakest on rainbow flops topped by a ten or better (49.13%). 22 takes over on rainbow flops topped by a ten or better and paired flops, so the favorite before the flop is the underdog on those boards. **22 against 75s by flop texture, in percent** | Flop | Share of flops | 22 wins | Ties | 75s wins | 22 equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 25.844 | 50.086 | 1.575 | 48.339 | 50.874 | | Rainbow, nine or lower | 5.065 | 35.555 | 1.178 | 63.267 | 36.144 | | Two-tone | 46.545 | 45.857 | 1.435 | 52.708 | 46.574 | | Monotone | 5.212 | 45.783 | 4.616 | 49.601 | 48.091 | | Paired | 17.334 | 46.712 | 8.137 | 45.151 | 50.781 | A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank. ## Compared with a random hand Start from the random-hand figures, 50.33% for 22 and 43.68% for 75s. This opponent changes them by -2.36 and +8.35 points. **22 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 | | --- | --- | --- | --- | --- | | 22, all flops | 47.965 | 50.334 | -2.369 | 0.95293 | | 22, rainbow, ten or higher | 50.874 | 50.334 | +0.540 | 1.01073 | | 22, rainbow, nine or lower | 36.144 | 50.334 | -14.190 | 0.71808 | | 22, two-tone | 46.574 | 50.334 | -3.760 | 0.92530 | | 22, monotone | 48.091 | 50.334 | -2.243 | 0.95544 | | 22, paired | 50.781 | 50.334 | +0.447 | 1.00888 | | 75s, all flops | 52.035 | 43.676 | +8.359 | 1.19139 | | 75s, rainbow, ten or higher | 49.126 | 43.676 | +5.450 | 1.12478 | | 75s, rainbow, nine or lower | 63.856 | 43.676 | +20.180 | 1.46204 | | 75s, two-tone | 53.426 | 43.676 | +9.750 | 1.22323 | | 75s, monotone | 51.909 | 43.676 | +8.233 | 1.18850 | | 75s, paired | 49.219 | 43.676 | +5.543 | 1.12691 | ## Does a shared suit matter? Two kinds of deal exist here. In 12 of them the hands share a suit and 75s holds 51.89%. In 12 they do not, and it holds 52.18%. 75s does better with no shared suit, by 0.29 points. **22 against 75s by suit overlap, in percent** | Deals | Specific deals | Share of deals | 22 wins | Ties | 75s wins | 22 equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 50.00 | 46.710 | 2.805 | 50.485 | 48.113 | | No shared suit | 12 | 50.00 | 46.435 | 2.767 | 50.798 | 47.818 | ## How often this matchup comes up The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order. ## A worked example Worked example: both players commit $100, so $200 sits in the middle. Over every board, 75s' average share is $104.06 (a gain of $4.06) and 22's is $95.94 (a loss of $4.06). Out of 1,000 deals you should see around 506 outright wins for 75s, 466 for 22, and 28 split pots. ## The same matchup from the other side 75s against 22 adds nothing new: it is 52.03% for 75s and 47.97% for 22, the same figures reversed. ## Keep exploring Open the calculator with 2s2h against 7d5d 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 2s2h against 7d5d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=2s2h&p2=7d5d) - [22 combos](https://georgelipoker.com/combos/22.md) - [75s combos](https://georgelipoker.com/combos/75s.md) - [22 vs 65s](https://georgelipoker.com/equity/22-vs-65s.md) - [22 vs 54s](https://georgelipoker.com/equity/22-vs-54s.md) - [97s vs 75s](https://georgelipoker.com/equity/97s-vs-75s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Nothing here is simulated. The 24 deals of 22 against 75s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [22 vs 65s: preflop equity](https://georgelipoker.com/equity/22-vs-65s.md) - [22 vs 54s: preflop equity](https://georgelipoker.com/equity/22-vs-54s.md) - [97s vs 75s: preflop equity](https://georgelipoker.com/equity/97s-vs-75s.md)