AJs
61.56%
Wins 61.33%, ties 0.46%
87s
38.44%
Wins 38.21%, ties 0.46%
AJs against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 61.329 | 0.459 | 38.212 | 61.558 |
| 87s | 38.212 | 0.459 | 61.329 | 38.442 |
AJs and 87s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 0.46%: on those boards the pot is chopped and neither hand wins outright.
AJs ranks number 11 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 |
|---|---|---|---|
| AJs | 16,802,000 | 126,000 | 10,469,000 |
| 87s | 10,469,000 | 126,000 | 16,802,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| AJs | 1.601 | 1.631 | 2.617 | 0.624 |
| 87s | 0.624 | 2.617 | 1.631 | 1.601 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
By flop texture, AJs' equity runs from 37.86% on low rainbow flops (nine high or lower) up to 67.68% on rainbow flops topped by a ten or better. The lead reverses on low rainbow flops (nine high or lower): there 87s is the favorite even though AJs is ahead overall.
| Flop | Share of flops | AJs wins | Ties | 87s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 67.596 | 0.166 | 32.238 | 67.679 |
| Rainbow, nine or lower | 6.314 | 37.625 | 0.479 | 61.896 | 37.864 |
| Two-tone | 46.727 | 60.718 | 0.213 | 39.069 | 60.825 |
| Monotone | 5.273 | 57.286 | 3.393 | 39.321 | 58.982 |
| Paired | 17.091 | 63.982 | 0.641 | 35.377 | 64.303 |
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
Compared with a random opponent, this matchup shifts AJs from 65.39% by -3.83 points and 87s from 47.94% by -9.50 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 61.558 | 65.393 | -3.835 | 0.94135 |
| AJs, rainbow, ten or higher | 67.679 | 65.393 | +2.286 | 1.03496 |
| AJs, rainbow, nine or lower | 37.864 | 65.393 | -27.529 | 0.57902 |
| AJs, two-tone | 60.825 | 65.393 | -4.568 | 0.93015 |
| AJs, monotone | 58.982 | 65.393 | -6.411 | 0.90196 |
| AJs, paired | 64.303 | 65.393 | -1.090 | 0.98333 |
| 87s, all flops | 38.442 | 47.936 | -9.494 | 0.80194 |
| 87s, rainbow, ten or higher | 32.321 | 47.936 | -15.615 | 0.67425 |
| 87s, rainbow, nine or lower | 62.136 | 47.936 | +14.200 | 1.29623 |
| 87s, two-tone | 39.175 | 47.936 | -8.761 | 0.81724 |
| 87s, monotone | 41.018 | 47.936 | -6.918 | 0.85568 |
| 87s, paired | 35.697 | 47.936 | -12.239 | 0.74468 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and AJs holds 63.73%. In 12 they do not, and it holds 60.83%. AJs does better with a shared suit, by 2.90 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 87s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.466 | 0.534 | 36.000 | 63.733 |
| No shared suit | 12 | 75.00 | 60.616 | 0.434 | 38.950 | 60.833 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AJs is worth $123.12 on average (+$23.12); 87s is worth $76.88 (-$23.12).
Think in thousands: about 613 of 1,000 go to AJs, about 382 go to 87s, and about 5 are chopped.
The same matchup from the other side
The mirror image, 87s against AJs, is 38.44% to 61.56%, and its address redirects to this page.
Keep exploring
Try AsJs against 8h7h 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of AJs against 87s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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