AJo
58.99%
Wins 58.79%, ties 0.41%
87s
41.01%
Wins 40.80%, ties 0.41%
AJo against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 58.789 | 0.411 | 40.800 | 58.994 |
| 87s | 40.800 | 0.411 | 58.789 | 41.006 |
AJo and 87s are an offsuit hand and a suited hand, in that order. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AJo is ahead, but 87s is far from dead: it takes 408 of every 1,000 deals outright. Split pots make up 0.41% of the boards, and both equity figures count them as half a win each.
AJo ranks number 15 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 |
|---|---|---|---|
| AJo | 48,319,000 | 338,000 | 33,534,000 |
| 87s | 33,534,000 | 338,000 | 48,319,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| AJo | 1.439 | 1.701 | 2.451 | 0.695 |
| 87s | 0.695 | 2.451 | 1.701 | 1.439 |
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
By flop texture, AJo's equity runs from 35.39% on low rainbow flops (nine high or lower) up to 66.33% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) the numbers flip and 87s is the one ahead.
| Flop | Share of flops | AJo wins | Ties | 87s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 66.243 | 0.171 | 33.586 | 66.328 |
| Rainbow, nine or lower | 6.313 | 35.145 | 0.497 | 64.358 | 35.394 |
| Two-tone | 46.667 | 57.227 | 0.225 | 42.548 | 57.340 |
| Monotone | 5.212 | 56.319 | 2.350 | 41.331 | 57.494 |
| Paired | 17.091 | 61.763 | 0.641 | 37.596 | 62.083 |
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
How much does the opponent matter? Compared with its random-hand 63.56%, AJo changes by -4.57 points, and 87s, from 47.94%, by -6.93.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 58.994 | 63.563 | -4.569 | 0.92812 |
| AJo, rainbow, ten or higher | 66.328 | 63.563 | +2.765 | 1.04350 |
| AJo, rainbow, nine or lower | 35.394 | 63.563 | -28.169 | 0.55683 |
| AJo, two-tone | 57.340 | 63.563 | -6.223 | 0.90210 |
| AJo, monotone | 57.494 | 63.563 | -6.069 | 0.90452 |
| AJo, paired | 62.083 | 63.563 | -1.480 | 0.97672 |
| 87s, all flops | 41.006 | 47.936 | -6.930 | 0.85543 |
| 87s, rainbow, ten or higher | 33.672 | 47.936 | -14.264 | 0.70244 |
| 87s, rainbow, nine or lower | 64.606 | 47.936 | +16.670 | 1.34776 |
| 87s, two-tone | 42.660 | 47.936 | -5.276 | 0.88994 |
| 87s, monotone | 42.506 | 47.936 | -5.430 | 0.88672 |
| 87s, paired | 37.917 | 47.936 | -10.019 | 0.79099 |
Does a shared suit matter?
The suit split reads 59.67% for AJo with a shared suit and 58.32% without one. AJo does better with a shared suit, by 1.35 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | 87s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.443 | 0.452 | 40.105 | 59.669 |
| No shared suit | 24 | 50.00 | 58.135 | 0.369 | 41.496 | 58.320 |
How often this matchup comes up
Counting specific cards, AJo against 87s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AJo's average share is $117.98 (a gain of $17.98) and 87s' is $82.02 (a loss of $17.98).
Scaled to 1,000 deals, that is roughly 588 wins for AJo, 408 for 87s and 4 chopped pots.
The same matchup from the other side
One page covers both views. From 87s' side the equity is 41.01%, and from AJo's side it is 58.99%.
Keep exploring
Try AsJh against 8d7d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 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.
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