--- title: "A4s vs 75s: preflop equity" url: "https://georgelipoker.com/equity/a4s-vs-75s.md" canonical_url: "https://georgelipoker.com/equity/a4s-vs-75s" last_updated: "2026-10-23" type: "reference" summary: "Who is ahead, A4s or 75s? A4s leads 57.57% to 42.43% before the flop, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/a4s-vs-65s.md", "https://georgelipoker.com/equity/a4s-vs-54s.md", "https://georgelipoker.com/equity/a3s-vs-75s.md"] --- # A4s vs 75s: preflop equity Who is ahead, A4s or 75s? A4s leads 57.57% to 42.43% before the flop, counted exactly over every board, with the split by flop type and suit. Dealt all in against each other, A4s takes 57.57% of the pot on average and 75s takes the other 42.43%. ## A4s against 75s: the numbers **Exact preflop results for A4s against 75s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | A4s | 57.298 | 0.550 | 42.152 | 57.573 | | 75s | 42.152 | 0.550 | 57.298 | 42.427 | Two suited hands meet here: A4s against 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. 0.55% of boards are ties, so the equity of each hand is its win rate plus half of that. By strength against a random hand, A4s holds place 35 of 169 and 75s holds place 124. **Boards behind the percentages: 27,396,864 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | A4s | 15,698,000 | 151,000 | 11,548,000 | | 75s | 11,548,000 | 151,000 | 15,698,000 | 16 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. **A4s 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) | | --- | --- | --- | --- | --- | | A4s | 1.357 | 1.745 | 2.372 | 0.737 | | 75s | 0.737 | 2.372 | 1.745 | 1.357 | The final column gives the least the pot must offer for each unit called for a call to break even at this equity. ## Who is ahead on which flops The flop changes the picture. A4s does best on paired flops, at 63.14%, and worst on low rainbow flops (nine high or lower), at 37.94%. 75s is ahead on low rainbow flops (nine high or lower), even though it trails A4s when every flop is counted. **A4s against 75s by flop texture, in percent** | Flop | Share of flops | A4s wins | Ties | 75s wins | A4s equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 25.220 | 60.976 | 0.258 | 38.766 | 61.105 | | Rainbow, nine or lower | 5.689 | 37.583 | 0.713 | 61.704 | 37.940 | | Two-tone | 46.727 | 56.167 | 0.309 | 43.524 | 56.321 | | Monotone | 5.273 | 53.156 | 3.472 | 43.372 | 54.892 | | Paired | 17.091 | 62.803 | 0.682 | 36.515 | 63.144 | 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 Relative to a random opponent, A4s changes by -1.46 points (baseline 59.03%) and 75s by -1.25 points (baseline 43.68%). **A4s 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 | | --- | --- | --- | --- | --- | | A4s, all flops | 57.573 | 59.034 | -1.461 | 0.97525 | | A4s, rainbow, ten or higher | 61.105 | 59.034 | +2.071 | 1.03508 | | A4s, rainbow, nine or lower | 37.940 | 59.034 | -21.094 | 0.64268 | | A4s, two-tone | 56.321 | 59.034 | -2.713 | 0.95404 | | A4s, monotone | 54.892 | 59.034 | -4.142 | 0.92984 | | A4s, paired | 63.144 | 59.034 | +4.110 | 1.06962 | | 75s, all flops | 42.427 | 43.676 | -1.249 | 0.97140 | | 75s, rainbow, ten or higher | 38.895 | 43.676 | -4.781 | 0.89053 | | 75s, rainbow, nine or lower | 62.060 | 43.676 | +18.384 | 1.42092 | | 75s, two-tone | 43.679 | 43.676 | +0.003 | 1.00007 | | 75s, monotone | 45.108 | 43.676 | +1.432 | 1.03279 | | 75s, paired | 36.856 | 43.676 | -6.820 | 0.84385 | ## Does a shared suit matter? Split by suits, the deals give A4s 59.51% when the hands overlap in a suit and 56.93% when they do not. A4s does better with a shared suit, by 2.58 points. **A4s against 75s by suit overlap, in percent** | Deals | Specific deals | Share of deals | A4s wins | Ties | 75s wins | A4s equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 4 | 25.00 | 59.192 | 0.631 | 40.177 | 59.508 | | No shared suit | 12 | 75.00 | 56.666 | 0.523 | 42.811 | 56.927 | ## How often this matchup comes up The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order. ## A worked example Say each player puts $100 in before the flop, making a $200 pot. On average A4s takes back $115.14 of it, which is $15.14 more than it put in, and 75s takes back $84.86, $15.14 less than it put in. Per 1,000 deals: A4s wins about 573, 75s wins about 422, and about 5 end in a split pot. ## The same matchup from the other side The reversed view, 75s against A4s, shows 42.43% for 75s and 57.57% for A4s. It is the same count, so it redirects here. ## Keep exploring As4s 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 As4s against 7h5h in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=As4s&p2=7h5h) - [A4s combos](https://georgelipoker.com/combos/a4s.md) - [75s combos](https://georgelipoker.com/combos/75s.md) - [A4s vs 65s](https://georgelipoker.com/equity/a4s-vs-65s.md) - [A4s vs 54s](https://georgelipoker.com/equity/a4s-vs-54s.md) - [A3s vs 75s](https://georgelipoker.com/equity/a3s-vs-75s.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 16 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 - [A4s vs 65s: preflop equity](https://georgelipoker.com/equity/a4s-vs-65s.md) - [A4s vs 54s: preflop equity](https://georgelipoker.com/equity/a4s-vs-54s.md) - [A3s vs 75s: preflop equity](https://georgelipoker.com/equity/a3s-vs-75s.md)