AKo
69.84%
Wins 67.48%, ties 4.73%
A2s
30.16%
Wins 27.79%, ties 4.73%
AKo against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 67.481 | 4.727 | 27.792 | 69.844 |
| A2s | 27.792 | 4.727 | 67.481 | 30.156 |
AKo, an offsuit hand, plays A2s, a suited hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
AKo is well ahead, and A2s needs a specific kind of board to catch up. About 4.73% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and A2s is number 46.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 41,597,000 | 2,914,000 | 17,132,000 |
| A2s | 17,132,000 | 2,914,000 | 41,597,000 |
36 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) |
|---|---|---|---|---|
| AKo | 2.316 | 1.482 | 3.598 | 0.432 |
| A2s | 0.432 | 3.598 | 1.482 | 2.316 |
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, AKo's equity runs from 56.44% on low rainbow flops (nine high or lower) up to 76.97% on rainbow flops topped by a ten or better. AKo 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 | AKo wins | Ties | A2s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 75.720 | 2.504 | 21.776 | 76.972 |
| Rainbow, nine or lower | 7.042 | 54.098 | 4.674 | 41.228 | 56.435 |
| Two-tone | 46.527 | 67.128 | 2.828 | 30.044 | 68.542 |
| Monotone | 5.192 | 62.423 | 4.143 | 33.434 | 64.495 |
| Paired | 17.334 | 64.017 | 13.088 | 22.895 | 70.561 |
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
How much does the opponent matter? Compared with its random-hand 65.32%, AKo changes by +4.52 points, and A2s, from 57.38%, by -27.22.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 69.844 | 65.320 | +4.524 | 1.06926 |
| AKo, rainbow, ten or higher | 76.972 | 65.320 | +11.652 | 1.17838 |
| AKo, rainbow, nine or lower | 56.435 | 65.320 | -8.885 | 0.86398 |
| AKo, two-tone | 68.542 | 65.320 | +3.222 | 1.04933 |
| AKo, monotone | 64.495 | 65.320 | -0.825 | 0.98737 |
| AKo, paired | 70.561 | 65.320 | +5.241 | 1.08024 |
| A2s, all flops | 30.156 | 57.379 | -27.223 | 0.52556 |
| A2s, rainbow, ten or higher | 23.028 | 57.379 | -34.351 | 0.40133 |
| A2s, rainbow, nine or lower | 43.565 | 57.379 | -13.814 | 0.75925 |
| A2s, two-tone | 31.458 | 57.379 | -25.921 | 0.54825 |
| A2s, monotone | 35.505 | 57.379 | -21.874 | 0.61878 |
| A2s, paired | 29.439 | 57.379 | -27.940 | 0.51306 |
Does a shared suit matter?
The suit split reads 70.68% for AKo with a shared suit and 69.43% without one. AKo does better with a shared suit, by 1.25 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | A2s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 68.273 | 4.806 | 26.921 | 70.676 |
| No shared suit | 24 | 66.67 | 67.085 | 4.688 | 28.227 | 69.429 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are AKo against A2s, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: AKo averages $139.68 back, ahead of its $100 by $39.68, while A2s averages $60.32, short of its $100 by $39.68.
In 1,000 deals of exactly this matchup, expect about 675 won outright by AKo, about 278 won outright by A2s and about 47 split.
The same matchup from the other side
The reversed view, A2s against AKo, shows 30.16% for A2s and 69.84% for AKo. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in AsKh against Ad2d, 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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