A8s
64.42%
Wins 54.95%, ties 18.93%
A7s
35.58%
Wins 26.12%, ties 18.93%
A8s against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 54.953 | 18.934 | 26.113 | 64.420 |
| A7s | 26.113 | 18.934 | 54.953 | 35.580 |
Two suited hands meet here: A8s against A7s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 18.93% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, A8s is number 21 and A7s is number 24 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 11,292,000 | 3,890,000 | 5,366,000 |
| A7s | 5,366,000 | 3,890,000 | 11,292,000 |
The board total is exact, 12 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) |
|---|---|---|---|---|
| A8s | 1.811 | 1.820 | 3.830 | 0.552 |
| A7s | 0.552 | 3.830 | 1.820 | 1.811 |
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
If you know the kind of flop that came, the numbers shift: A8s holds 67.21% on rainbow flops topped by a ten or better and 59.54% on paired flops. A8s stays ahead on all five textures.
| Flop | Share of flops | A8s wins | Ties | A7s wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 57.458 | 19.510 | 23.032 | 67.213 |
| Rainbow, nine or lower | 6.383 | 64.072 | 5.700 | 30.228 | 66.922 |
| Two-tone | 46.543 | 57.456 | 14.802 | 27.742 | 64.857 |
| Monotone | 5.215 | 53.794 | 13.490 | 32.716 | 60.539 |
| Paired | 17.333 | 41.680 | 35.723 | 22.597 | 59.541 |
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
Compared with a random opponent, this matchup shifts A8s from 61.94% by +2.48 points and A7s from 60.98% by -25.40 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 64.420 | 61.944 | +2.476 | 1.03997 |
| A8s, rainbow, ten or higher | 67.213 | 61.944 | +5.269 | 1.08506 |
| A8s, rainbow, nine or lower | 66.922 | 61.944 | +4.978 | 1.08036 |
| A8s, two-tone | 64.857 | 61.944 | +2.913 | 1.04703 |
| A8s, monotone | 60.539 | 61.944 | -1.405 | 0.97732 |
| A8s, paired | 59.541 | 61.944 | -2.403 | 0.96121 |
| A7s, all flops | 35.580 | 60.984 | -25.404 | 0.58343 |
| A7s, rainbow, ten or higher | 32.787 | 60.984 | -28.197 | 0.53763 |
| A7s, rainbow, nine or lower | 33.078 | 60.984 | -27.906 | 0.54240 |
| A7s, two-tone | 35.143 | 60.984 | -25.841 | 0.57627 |
| A7s, monotone | 39.461 | 60.984 | -21.523 | 0.64707 |
| A7s, paired | 40.459 | 60.984 | -20.525 | 0.66344 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 64.42% for A8s.
| Deals | Specific deals | Share of deals | A8s wins | Ties | A7s wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 54.953 | 18.934 | 26.113 | 64.420 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A8s gets $128.84 of it on average and A7s gets $71.16.
Scaled to 1,000 deals, that is roughly 550 wins for A8s, 261 for A7s and 189 chopped pots.
The same matchup from the other side
A7s against A8s adds nothing new: it is 35.58% for A7s and 64.42% for A8s, the same figures reversed.
Keep exploring
The calculator link fills in As8s against Ah7h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of A8s against A7s, 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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