AA
88.03%
Wins 87.38%, ties 1.30%
A7s
11.97%
Wins 11.32%, ties 1.30%
AA against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 87.383 | 1.303 | 11.314 | 88.034 |
| A7s | 11.314 | 1.303 | 87.383 | 11.966 |
AA and A7s are a pocket pair and a suited hand, in that order. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
This is one of the lopsided matchups: A7s wins only 11.32% of the boards outright. Of every 100 boards, about 1.30 are split pots, and the equity figures already include them.
For context, AA sits at number 1 of 169 starting hands and A7s at number 24 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 17,955,000 | 268,000 | 2,325,000 |
| A7s | 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 | 8.839 | 0.136 |
| A7s | 0.136 | 8.839 | 1.144 | 7.357 |
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
Split by what the flop looks like, AA peaks at 92.89% on rainbow flops topped by a ten or better and bottoms out at 77.76% on monotone flops. AA stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AA wins | Ties | A7s wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.740 | 92.266 | 1.242 | 6.492 | 92.887 |
| Rainbow, nine or lower | 7.042 | 86.031 | 2.494 | 11.475 | 87.278 |
| 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 | 88.441 | 0.430 | 11.129 | 88.656 |
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
Start from the random-hand figures, 85.20% for AA and 60.98% for A7s. This opponent changes them by +2.83 and -49.01 points.
| 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 | 92.887 | 85.204 | +7.683 | 1.09017 |
| AA, rainbow, nine or lower | 87.278 | 85.204 | +2.074 | 1.02434 |
| AA, two-tone | 86.563 | 85.204 | +1.359 | 1.01595 |
| AA, monotone | 77.759 | 85.204 | -7.445 | 0.91262 |
| AA, paired | 88.656 | 85.204 | +3.452 | 1.04051 |
| A7s, all flops | 11.966 | 60.984 | -49.018 | 0.19622 |
| A7s, rainbow, ten or higher | 7.113 | 60.984 | -53.871 | 0.11664 |
| A7s, rainbow, nine or lower | 12.722 | 60.984 | -48.262 | 0.20861 |
| A7s, two-tone | 13.437 | 60.984 | -47.547 | 0.22034 |
| A7s, monotone | 22.241 | 60.984 | -38.743 | 0.36470 |
| A7s, paired | 11.344 | 60.984 | -49.640 | 0.18602 |
Does a shared suit matter?
AA and A7s never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | AA wins | Ties | A7s 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 | 1.303 | 11.314 | 88.034 |
How often this matchup comes up
Counting specific cards, AA against A7s 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
Take a $200 pot built from $100 each. AA's equity of 88.03% is worth $176.06, a $76.06 edge, and A7s' 11.97% is worth $23.94, which is $76.06 under its stake.
In 1,000 deals of exactly this matchup, expect about 874 won outright by AA, about 113 won outright by A7s and about 13 split.
The same matchup from the other side
The reversed view, A7s against AA, shows 11.97% for A7s and 88.03% for AA. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in AsAh against Ad7d, 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 AA 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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