A2s
54.39%
Wins 54.14%, ties 0.51%
87s
45.61%
Wins 45.35%, ties 0.51%
A2s against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 54.140 | 0.509 | 45.351 | 54.394 |
| 87s | 45.351 | 0.509 | 54.140 | 45.606 |
The matchup is suited hands on both sides, A2s against 87s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a slim edge: neither hand is far ahead. Ties are part of the picture: 0.51% of boards end in a split pot, and each side counts that as half a win.
For context, A2s sits at number 46 of 169 starting hands and 87s at number 100 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 14,833,000 | 139,000 | 12,425,000 |
| 87s | 12,425,000 | 139,000 | 14,833,000 |
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) |
|---|---|---|---|---|
| A2s | 1.193 | 1.847 | 2.205 | 0.838 |
| 87s | 0.838 | 2.205 | 1.847 | 1.193 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Split by what the flop looks like, A2s peaks at 60.64% on paired flops and bottoms out at 34.51% on low rainbow flops (nine high or lower). The overall edge for A2s hides low rainbow flops (nine high or lower), where 87s comes out in front.
| Flop | Share of flops | A2s wins | Ties | 87s wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 57.285 | 0.221 | 42.494 | 57.395 |
| Rainbow, nine or lower | 5.689 | 34.216 | 0.586 | 65.198 | 34.509 |
| Two-tone | 46.727 | 52.986 | 0.265 | 46.749 | 53.118 |
| Monotone | 5.273 | 50.842 | 3.432 | 45.726 | 52.558 |
| Paired | 17.091 | 60.301 | 0.678 | 39.021 | 60.640 |
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
The table below sets each hand against its own random-hand baseline: a change of -2.99 points for A2s, from 57.38%, and -2.33 for 87s, from 47.94%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 54.394 | 57.379 | -2.985 | 0.94798 |
| A2s, rainbow, ten or higher | 57.395 | 57.379 | +0.016 | 1.00028 |
| A2s, rainbow, nine or lower | 34.509 | 57.379 | -22.870 | 0.60142 |
| A2s, two-tone | 53.118 | 57.379 | -4.261 | 0.92574 |
| A2s, monotone | 52.558 | 57.379 | -4.821 | 0.91598 |
| A2s, paired | 60.640 | 57.379 | +3.261 | 1.05683 |
| 87s, all flops | 45.606 | 47.936 | -2.330 | 0.95139 |
| 87s, rainbow, ten or higher | 42.605 | 47.936 | -5.331 | 0.88879 |
| 87s, rainbow, nine or lower | 65.491 | 47.936 | +17.555 | 1.36622 |
| 87s, two-tone | 46.882 | 47.936 | -1.054 | 0.97801 |
| 87s, monotone | 47.442 | 47.936 | -0.494 | 0.98969 |
| 87s, paired | 39.360 | 47.936 | -8.576 | 0.82109 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A2s at 55.93%) and 12 do not (53.88%). A2s does better with a shared suit, by 2.05 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | 87s wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 55.638 | 0.591 | 43.771 | 55.933 |
| No shared suit | 12 | 75.00 | 53.640 | 0.482 | 45.878 | 53.881 |
How often this matchup comes up
A2s against 87s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A2s' average share is $108.78 (a gain of $8.78) and 87s' is $91.22 (a loss of $8.78).
A thousand deals look like this: A2s takes 541, 87s takes 454, 5 are ties.
The same matchup from the other side
Swap the hands and you get 87s with 45.61% against A2s with 54.39%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try As2s 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
Nothing here is simulated. The 16 deals of A2s against 87s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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