AQs
61.70%
Wins 61.47%, ties 0.47%
87s
38.30%
Wins 38.06%, ties 0.47%
AQs against 87s: the numbers
| 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.
| 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.
| 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.
| 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.
| 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.
| 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.
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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session