AKo
58.79%
Wins 58.58%, ties 0.42%
87s
41.21%
Wins 41.00%, ties 0.42%
AKo against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 58.580 | 0.418 | 41.002 | 58.789 |
| 87s | 41.002 | 0.418 | 58.580 | 41.211 |
Here an offsuit hand (AKo) meets a suited hand (87s). Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
AKo is ahead, but 87s is far from dead: it takes 410 of every 1,000 deals outright. Of every 100 boards, about 0.42 are split pots, and the equity figures already include them.
Among the 169 starting hands, AKo is number 12 and 87s is number 100 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 48,147,000 | 344,000 | 33,700,000 |
| 87s | 33,700,000 | 344,000 | 48,147,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKo | 1.427 | 1.707 | 2.439 | 0.701 |
| 87s | 0.701 | 2.439 | 1.707 | 1.427 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for AKo (66.20%); low rainbow flops (nine high or lower) are the worst (34.97%). The overall edge for AKo hides low rainbow flops (nine high or lower), where 87s comes out in front.
| Flop | Share of flops | AKo wins | Ties | 87s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 66.116 | 0.163 | 33.721 | 66.197 |
| Rainbow, nine or lower | 6.313 | 34.681 | 0.576 | 64.743 | 34.969 |
| Two-tone | 46.667 | 57.023 | 0.237 | 42.740 | 57.142 |
| Monotone | 5.212 | 56.162 | 2.360 | 41.478 | 57.342 |
| Paired | 17.091 | 61.498 | 0.632 | 37.870 | 61.814 |
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
How much does the opponent matter? Compared with its random-hand 65.32%, AKo changes by -6.53 points, and 87s, from 47.94%, by -6.73.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 58.789 | 65.320 | -6.531 | 0.90002 |
| AKo, rainbow, ten or higher | 66.197 | 65.320 | +0.877 | 1.01343 |
| AKo, rainbow, nine or lower | 34.969 | 65.320 | -30.351 | 0.53535 |
| AKo, two-tone | 57.142 | 65.320 | -8.178 | 0.87480 |
| AKo, monotone | 57.342 | 65.320 | -7.978 | 0.87786 |
| AKo, paired | 61.814 | 65.320 | -3.506 | 0.94633 |
| 87s, all flops | 41.211 | 47.936 | -6.725 | 0.85971 |
| 87s, rainbow, ten or higher | 33.803 | 47.936 | -14.133 | 0.70517 |
| 87s, rainbow, nine or lower | 65.031 | 47.936 | +17.095 | 1.35662 |
| 87s, two-tone | 42.858 | 47.936 | -5.078 | 0.89407 |
| 87s, monotone | 42.658 | 47.936 | -5.278 | 0.88989 |
| 87s, paired | 38.186 | 47.936 | -9.750 | 0.79660 |
Does a shared suit matter?
The suit split reads 59.48% for AKo with a shared suit and 58.10% without one. AKo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 87s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.248 | 0.459 | 40.293 | 59.478 |
| No shared suit | 24 | 50.00 | 57.912 | 0.377 | 41.711 | 58.100 |
How often this matchup comes up
AKo against 87s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AKo averages $117.58 from the $200, up $17.58; 87s averages $82.42, down $17.58.
In 1,000 deals of exactly this matchup, expect about 586 won outright by AKo, about 410 won outright by 87s and about 4 split.
The same matchup from the other side
One page covers both views. From 87s' side the equity is 41.21%, and from AKo's side it is 58.79%.
Keep exploring
Open the calculator with AsKh against 8d7d 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
This is an exact count with no sampling. For the 48 ways to deal one AKo and one 87s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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