AKs
61.40%
Wins 61.17%, ties 0.46%
87s
38.60%
Wins 38.37%, ties 0.46%
AKs against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 61.166 | 0.463 | 38.371 | 61.398 |
| 87s | 38.371 | 0.463 | 61.166 | 38.602 |
Here suited hands face each other, AKs on one side and 87s on the other. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AKs is ahead, but 87s is far from dead: it takes 384 of every 1,000 deals outright. 0.46% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, AKs is number 8 of the 169 starting hands and 87s is number 100.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 16,758,000 | 127,000 | 10,512,000 |
| 87s | 10,512,000 | 127,000 | 16,758,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKs | 1.591 | 1.635 | 2.606 | 0.629 |
| 87s | 0.629 | 2.606 | 1.635 | 1.591 |
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
The flop changes the picture. AKs does best on rainbow flops topped by a ten or better, at 67.56%, and worst on low rainbow flops (nine high or lower), at 37.47%. 87s is ahead on low rainbow flops (nine high or lower), even though it trails AKs when every flop is counted.
| Flop | Share of flops | AKs wins | Ties | 87s wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 67.479 | 0.156 | 32.365 | 67.557 |
| Rainbow, nine or lower | 6.314 | 37.188 | 0.554 | 62.258 | 37.465 |
| Two-tone | 46.727 | 60.581 | 0.220 | 39.199 | 60.691 |
| Monotone | 5.273 | 57.241 | 3.398 | 39.361 | 58.940 |
| Paired | 17.091 | 63.749 | 0.632 | 35.619 | 64.065 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -5.65 points for AKs, from 67.05%, and -9.34 for 87s, from 47.94%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 61.398 | 67.045 | -5.647 | 0.91577 |
| AKs, rainbow, ten or higher | 67.557 | 67.045 | +0.512 | 1.00764 |
| AKs, rainbow, nine or lower | 37.465 | 67.045 | -29.580 | 0.55880 |
| AKs, two-tone | 60.691 | 67.045 | -6.354 | 0.90523 |
| AKs, monotone | 58.940 | 67.045 | -8.105 | 0.87911 |
| AKs, paired | 64.065 | 67.045 | -2.980 | 0.95555 |
| 87s, all flops | 38.602 | 47.936 | -9.334 | 0.80528 |
| 87s, rainbow, ten or higher | 32.443 | 47.936 | -15.493 | 0.67680 |
| 87s, rainbow, nine or lower | 62.535 | 47.936 | +14.599 | 1.30455 |
| 87s, two-tone | 39.309 | 47.936 | -8.627 | 0.82003 |
| 87s, monotone | 41.060 | 47.936 | -6.876 | 0.85656 |
| 87s, paired | 35.935 | 47.936 | -12.001 | 0.74965 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AKs has 63.52% equity, and with none in common it has 60.69%. AKs does better with a shared suit, by 2.83 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | 87s wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.249 | 0.541 | 36.210 | 63.520 |
| No shared suit | 12 | 75.00 | 60.471 | 0.438 | 39.091 | 60.690 |
How often this matchup comes up
Counting specific cards, AKs against 87s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
Take a $200 pot built from $100 each. AKs' equity of 61.40% is worth $122.80, a $22.80 edge, and 87s' 38.60% is worth $77.20, which is $22.80 under its stake.
Think in thousands: about 612 of 1,000 go to AKs, about 384 go to 87s, and about 4 are chopped.
The same matchup from the other side
The mirror image, 87s against AKs, is 38.60% to 61.40%, and its address redirects to this page.
Keep exploring
Open the calculator with AsKs 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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