AA
88.03%
Wins 87.38%, ties 1.30%
A8s
11.97%
Wins 11.32%, ties 1.30%
AA against A8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 87.383 | 1.302 | 11.315 | 88.034 |
| A8s | 11.315 | 1.302 | 87.383 | 11.966 |
AA, a pocket pair, plays A8s, a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
AA is a big favorite here before anyone sees a flop. Split pots make up 1.30% of the boards, and both equity figures count them as half a win each.
Place 1 of 169 belongs to AA and place 21 belongs to A8s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 17,955,000 | 268,000 | 2,325,000 |
| A8s | 2,325,000 | 268,000 | 17,955,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| AA | 7.357 | 1.144 | 8.838 | 0.136 |
| A8s | 0.136 | 8.838 | 1.144 | 7.357 |
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
By flop texture, AA's equity runs from 77.76% on monotone flops up to 92.47% on rainbow flops topped by a ten or better. AA stays ahead on all five textures.
| Flop | Share of flops | AA wins | Ties | A8s wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.740 | 91.858 | 1.221 | 6.921 | 92.469 |
| Rainbow, nine or lower | 7.042 | 87.408 | 2.564 | 10.028 | 88.690 |
| Two-tone | 46.236 | 85.877 | 1.372 | 12.751 | 86.563 |
| Monotone | 5.151 | 76.583 | 2.351 | 21.066 | 77.759 |
| Paired | 17.831 | 88.437 | 0.430 | 11.133 | 88.652 |
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 +2.83 points for AA, from 85.20%, and -49.97 for A8s, from 61.94%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 88.034 | 85.204 | +2.830 | 1.03321 |
| AA, rainbow, ten or higher | 92.469 | 85.204 | +7.265 | 1.08527 |
| AA, rainbow, nine or lower | 88.690 | 85.204 | +3.486 | 1.04091 |
| AA, two-tone | 86.563 | 85.204 | +1.359 | 1.01595 |
| AA, monotone | 77.759 | 85.204 | -7.445 | 0.91262 |
| AA, paired | 88.652 | 85.204 | +3.448 | 1.04047 |
| A8s, all flops | 11.966 | 61.944 | -49.978 | 0.19317 |
| A8s, rainbow, ten or higher | 7.531 | 61.944 | -54.413 | 0.12158 |
| A8s, rainbow, nine or lower | 11.310 | 61.944 | -50.634 | 0.18258 |
| A8s, two-tone | 13.437 | 61.944 | -48.507 | 0.21692 |
| A8s, monotone | 22.241 | 61.944 | -39.703 | 0.35905 |
| A8s, paired | 11.348 | 61.944 | -50.596 | 0.18320 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | AA wins | Ties | A8s wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 87.383 | 1.302 | 11.315 | 88.034 |
How often this matchup comes up
Counting specific cards, AA against A8s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AA gets $176.06 of it on average and A8s gets $23.94.
A thousand deals look like this: AA takes 874, A8s takes 113, 13 are ties.
The same matchup from the other side
The mirror image, A8s against AA, is 11.97% to 88.03%, and its address redirects to this page.
Keep exploring
Open the calculator with AsAh against Ad8d 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
Nothing here is simulated. The 12 deals of AA against A8s 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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