--- title: "A3s vs 75s: preflop equity" url: "https://georgelipoker.com/equity/a3s-vs-75s.md" canonical_url: "https://georgelipoker.com/equity/a3s-vs-75s" last_updated: "2026-10-23" type: "reference" summary: "Who is ahead, A3s or 75s? A3s leads 56.99% to 43.01% before the flop, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/a3s-vs-65s.md", "https://georgelipoker.com/equity/a3s-vs-54s.md", "https://georgelipoker.com/equity/qjo-vs-75s.md"] --- # A3s vs 75s: preflop equity Who is ahead, A3s or 75s? A3s leads 56.99% to 43.01% before the flop, counted exactly over every board, with the split by flop type and suit. Counting every board, the equity split is 56.99% for A3s and 43.01% for 75s, so A3s leads by 13.98 points. ## A3s against 75s: the numbers **Exact preflop results for A3s against 75s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | A3s | 56.711 | 0.557 | 42.732 | 56.989 | | 75s | 42.732 | 0.557 | 56.711 | 43.011 | Each side holds one of the suited hands: A3s and 75s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other. That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 0.56% of the boards, and both equity figures count them as half a win each. In the ranking of all 169 starting hands, A3s is number 38 and 75s is number 124. **Boards behind the percentages: 27,396,864 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | A3s | 15,537,000 | 153,000 | 11,707,000 | | 75s | 11,707,000 | 153,000 | 15,537,000 | The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages. **A3s 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) | | --- | --- | --- | --- | --- | | A3s | 1.325 | 1.763 | 2.340 | 0.755 | | 75s | 0.755 | 2.340 | 1.763 | 1.325 | 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 A3s prefers paired flops, where it holds 62.78%, and likes low rainbow flops (nine high or lower) least, where it holds 36.23%. 75s is ahead on low rainbow flops (nine high or lower), even though it trails A3s when every flop is counted. **A3s against 75s by flop texture, in percent** | Flop | Share of flops | A3s wins | Ties | 75s wins | A3s equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 25.220 | 60.497 | 0.258 | 39.245 | 60.626 | | Rainbow, nine or lower | 5.689 | 35.846 | 0.761 | 63.393 | 36.227 | | Two-tone | 46.727 | 55.561 | 0.316 | 44.123 | 55.719 | | Monotone | 5.273 | 52.748 | 3.477 | 43.775 | 54.487 | | Paired | 17.091 | 62.437 | 0.686 | 36.877 | 62.780 | Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank. ## Compared with a random hand Relative to a random opponent, A3s changes by -1.23 points (baseline 58.22%) and 75s by -0.67 points (baseline 43.68%). **A3s 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 | | --- | --- | --- | --- | --- | | A3s, all flops | 56.989 | 58.220 | -1.231 | 0.97886 | | A3s, rainbow, ten or higher | 60.626 | 58.220 | +2.406 | 1.04133 | | A3s, rainbow, nine or lower | 36.227 | 58.220 | -21.993 | 0.62224 | | A3s, two-tone | 55.719 | 58.220 | -2.501 | 0.95704 | | A3s, monotone | 54.487 | 58.220 | -3.733 | 0.93588 | | A3s, paired | 62.780 | 58.220 | +4.560 | 1.07832 | | 75s, all flops | 43.011 | 43.676 | -0.665 | 0.98477 | | 75s, rainbow, ten or higher | 39.374 | 43.676 | -4.302 | 0.90150 | | 75s, rainbow, nine or lower | 63.773 | 43.676 | +20.097 | 1.46014 | | 75s, two-tone | 44.281 | 43.676 | +0.605 | 1.01385 | | 75s, monotone | 45.513 | 43.676 | +1.837 | 1.04206 | | 75s, paired | 37.220 | 43.676 | -6.456 | 0.85218 | ## Does a shared suit matter? Of the deals of this matchup, 4 share a suit (A3s at 58.84%) and 12 do not (56.37%). A3s does better with a shared suit, by 2.47 points. **A3s against 75s by suit overlap, in percent** | Deals | Specific deals | Share of deals | A3s wins | Ties | 75s wins | A3s equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 4 | 25.00 | 58.516 | 0.640 | 40.844 | 58.836 | | No shared suit | 12 | 75.00 | 56.109 | 0.529 | 43.362 | 56.374 | ## How often this matchup comes up Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%. ## A worked example With $100 from each side, the $200 pot is split on average as $113.98 for A3s and $86.02 for 75s; the first side gains $13.98 per all-in and the second gives up $13.98. Scaled to 1,000 deals, that is roughly 567 wins for A3s, 427 for 75s and 6 chopped pots. ## The same matchup from the other side 75s against A3s adds nothing new: it is 43.01% for 75s and 56.99% for A3s, the same figures reversed. ## Keep exploring As3s against 7h5h 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 As3s against 7h5h in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=As3s&p2=7h5h) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [75s combos](https://georgelipoker.com/combos/75s.md) - [A3s vs 65s](https://georgelipoker.com/equity/a3s-vs-65s.md) - [A3s vs 54s](https://georgelipoker.com/equity/a3s-vs-54s.md) - [QJo vs 75s](https://georgelipoker.com/equity/qjo-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 16 specific deals of A3s 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 - [A3s vs 65s: preflop equity](https://georgelipoker.com/equity/a3s-vs-65s.md) - [A3s vs 54s: preflop equity](https://georgelipoker.com/equity/a3s-vs-54s.md) - [QJo vs 75s: preflop equity](https://georgelipoker.com/equity/qjo-vs-75s.md)