AA
88.23%
Wins 87.78%, ties 0.91%
A6s
11.77%
Wins 11.31%, ties 0.91%
AA against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 87.778 | 0.909 | 11.313 | 88.232 |
| A6s | 11.313 | 0.909 | 87.778 | 11.768 |
The matchup pits a pocket pair against a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
AA is a big favorite here before anyone sees a flop. About 0.91% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
By strength against a random hand, AA holds place 1 of 169 and A6s holds place 31.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 18,036,000 | 187,000 | 2,325,000 |
| A6s | 2,325,000 | 187,000 | 18,036,000 |
12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| AA | 7.498 | 1.139 | 8.839 | 0.133 |
| A6s | 0.133 | 8.839 | 1.139 | 7.498 |
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
Split by what the flop looks like, AA peaks at 93.38% on rainbow flops topped by a ten or better and bottoms out at 77.90% 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 | A6s wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.740 | 92.862 | 1.031 | 6.107 | 93.377 |
| Rainbow, nine or lower | 7.042 | 86.176 | 1.054 | 12.770 | 86.703 |
| Two-tone | 46.236 | 86.318 | 0.931 | 12.751 | 86.783 |
| Monotone | 5.151 | 76.863 | 2.072 | 21.065 | 77.899 |
| Paired | 17.831 | 88.581 | 0.294 | 11.125 | 88.728 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
A random hand would give AA 85.20% and A6s 59.91%. Against each other the change is +3.03 points for AA and -48.14 for A6s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 88.232 | 85.204 | +3.028 | 1.03554 |
| AA, rainbow, ten or higher | 93.377 | 85.204 | +8.173 | 1.09592 |
| AA, rainbow, nine or lower | 86.703 | 85.204 | +1.499 | 1.01759 |
| AA, two-tone | 86.783 | 85.204 | +1.579 | 1.01853 |
| AA, monotone | 77.899 | 85.204 | -7.305 | 0.91426 |
| AA, paired | 88.728 | 85.204 | +3.524 | 1.04136 |
| A6s, all flops | 11.768 | 59.906 | -48.138 | 0.19644 |
| A6s, rainbow, ten or higher | 6.623 | 59.906 | -53.283 | 0.11056 |
| A6s, rainbow, nine or lower | 13.297 | 59.906 | -46.609 | 0.22196 |
| A6s, two-tone | 13.217 | 59.906 | -46.689 | 0.22063 |
| A6s, monotone | 22.101 | 59.906 | -37.805 | 0.36893 |
| A6s, paired | 11.272 | 59.906 | -48.634 | 0.18816 |
Does a shared suit matter?
AA and A6s 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 | A6s wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 87.778 | 0.909 | 11.313 | 88.232 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $176.46 for AA and $23.54 for A6s; the first side gains $76.46 per all-in and the second gives up $76.46.
Scaled to 1,000 deals, that is roughly 878 wins for AA, 113 for A6s and 9 chopped pots.
The same matchup from the other side
Read it from the other side: A6s against AA is the same matchup with the numbers swapped, so A6s holds 11.77% and AA holds 88.23%. That address sends you back to this page.
Keep exploring
Try AsAh against Ad6d 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
Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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