--- title: "AQs vs 87s: preflop equity" url: "https://georgelipoker.com/equity/aqs-vs-87s.md" canonical_url: "https://georgelipoker.com/equity/aqs-vs-87s" last_updated: "2026-10-23" type: "reference" summary: "AQs is a big favorite over 87s before the flop: 61.70% to 38.30% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/aqs-vs-86s.md", "https://georgelipoker.com/equity/aqs-vs-76s.md", "https://georgelipoker.com/equity/ajs-vs-87s.md"] --- # AQs vs 87s: preflop equity AQs is a big favorite over 87s before the flop: 61.70% to 38.30% equity, counted exactly over every board, with the split by flop type and suit. Before any board card is dealt, AQs holds 61.70% equity against 87s, which leaves 87s with 38.30%. ## AQs against 87s: the numbers **Exact preflop results for AQs against 87s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AQs | 61.472 | 0.465 | 38.063 | 61.704 | | 87s | 38.063 | 0.465 | 61.472 | 38.296 | AQs meets 87s, and both are suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits. AQs is ahead, but 87s is far from dead: it takes 380 of every 1,000 deals outright. A split pot comes up on 0.47% of boards, so the wins and the equity differ by half of that. AQs ranks number 10 of 169 starting hands, and 87s ranks number 100, by equity against a random hand. **Boards behind the percentages: 27,396,864 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AQs | 16,841,000 | 127,000 | 10,428,000 | | 87s | 10,428,000 | 127,000 | 16,841,000 | 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. **AQs against 87s read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | AQs | 1.611 | 1.627 | 2.627 | 0.621 | | 87s | 0.621 | 2.627 | 1.627 | 1.611 | 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 AQs is strongest on rainbow flops topped by a ten or better (68.00%) and weakest on low rainbow flops (nine high or lower) (37.60%). Watch for low rainbow flops (nine high or lower): on those flops 87s holds the better equity. **AQs against 87s by flop texture, in percent** | Flop | Share of flops | AQs wins | Ties | 87s wins | AQs equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.595 | 67.921 | 0.162 | 31.917 | 68.002 | | Rainbow, nine or lower | 6.314 | 37.328 | 0.537 | 62.135 | 37.596 | | Two-tone | 46.727 | 60.921 | 0.220 | 38.859 | 61.031 | | Monotone | 5.273 | 57.505 | 3.397 | 39.098 | 59.203 | | Paired | 17.091 | 63.841 | 0.637 | 35.522 | 64.160 | 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 How much does the opponent matter? Compared with its random-hand 66.21%, AQs changes by -4.51 points, and 87s, from 47.94%, by -9.64. **AQs and 87s 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 | | --- | --- | --- | --- | --- | | AQs, all flops | 61.704 | 66.209 | -4.505 | 0.93196 | | AQs, rainbow, ten or higher | 68.002 | 66.209 | +1.793 | 1.02708 | | AQs, rainbow, nine or lower | 37.596 | 66.209 | -28.613 | 0.56784 | | AQs, two-tone | 61.031 | 66.209 | -5.178 | 0.92179 | | AQs, monotone | 59.203 | 66.209 | -7.006 | 0.89418 | | AQs, paired | 64.160 | 66.209 | -2.049 | 0.96905 | | 87s, all flops | 38.296 | 47.936 | -9.640 | 0.79890 | | 87s, rainbow, ten or higher | 31.998 | 47.936 | -15.938 | 0.66752 | | 87s, rainbow, nine or lower | 62.404 | 47.936 | +14.468 | 1.30182 | | 87s, two-tone | 38.969 | 47.936 | -8.967 | 0.81294 | | 87s, monotone | 40.797 | 47.936 | -7.139 | 0.85107 | | 87s, paired | 35.840 | 47.936 | -12.096 | 0.74766 | ## Does a shared suit matter? The suit split reads 63.86% for AQs with a shared suit and 60.99% without one. AQs does better with a shared suit, by 2.87 points. **AQs against 87s by suit overlap, in percent** | Deals | Specific deals | Share of deals | AQs wins | Ties | 87s wins | AQs equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 4 | 25.00 | 63.587 | 0.541 | 35.872 | 63.857 | | No shared suit | 12 | 75.00 | 60.767 | 0.439 | 38.794 | 60.986 | ## 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 Put $100 each into a $200 pot and deal every board once: AQs averages $123.40 back, ahead of its $100 by $23.40, while 87s averages $76.60, short of its $100 by $23.40. Run 1,000 deals and the tally comes out near 615 for AQs, 380 for 87s and 5 ties. ## The same matchup from the other side If you came looking for 87s against AQs, the numbers are the same with the hands swapped: 38.30% and 61.70%. ## Keep exploring Open the calculator with AsQs against 8h7h 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 AsQs against 8h7h in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsQs&p2=8h7h) - [AQs combos](https://georgelipoker.com/combos/aqs.md) - [87s combos](https://georgelipoker.com/combos/87s.md) - [AQs vs 86s](https://georgelipoker.com/equity/aqs-vs-86s.md) - [AQs vs 76s](https://georgelipoker.com/equity/aqs-vs-76s.md) - [AJs vs 87s](https://georgelipoker.com/equity/ajs-vs-87s.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 - [AQs vs 86s: preflop equity](https://georgelipoker.com/equity/aqs-vs-86s.md) - [AQs vs 76s: preflop equity](https://georgelipoker.com/equity/aqs-vs-76s.md) - [AJs vs 87s: preflop equity](https://georgelipoker.com/equity/ajs-vs-87s.md)