AKo
69.54%
Wins 67.32%, ties 4.43%
ATs
30.46%
Wins 28.25%, ties 4.43%
AKo against ATs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 67.322 | 4.426 | 28.252 | 69.535 |
| ATs | 28.252 | 4.426 | 67.322 | 30.465 |
The matchup pits an offsuit hand against a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
AKo is well ahead, and ATs needs a specific kind of board to catch up. Of every 100 boards, about 4.43 are split pots, and the equity figures already include them.
The hand ranking puts AKo at 12 and ATs at 13 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 41,499,000 | 2,728,000 | 17,415,000 |
| ATs | 17,415,000 | 2,728,000 | 41,499,000 |
Exact total: 36 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) |
|---|---|---|---|---|
| AKo | 2.282 | 1.485 | 3.540 | 0.438 |
| ATs | 0.438 | 3.540 | 1.485 | 2.282 |
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
Split by what the flop looks like, AKo peaks at 79.85% on low rainbow flops (nine high or lower) and bottoms out at 64.24% on monotone flops. 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 | ATs wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 68.546 | 2.026 | 29.428 | 69.559 |
| Rainbow, nine or lower | 7.771 | 77.275 | 5.150 | 17.575 | 79.850 |
| Two-tone | 46.527 | 67.050 | 2.647 | 30.303 | 68.374 |
| Monotone | 5.192 | 62.252 | 3.976 | 33.772 | 64.240 |
| Paired | 17.333 | 63.471 | 12.219 | 24.310 | 69.580 |
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 AKo 65.32% and ATs 64.60%. Against each other the change is +4.22 points for AKo and -34.14 for ATs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 69.535 | 65.320 | +4.215 | 1.06453 |
| AKo, rainbow, ten or higher | 69.559 | 65.320 | +4.239 | 1.06490 |
| AKo, rainbow, nine or lower | 79.850 | 65.320 | +14.530 | 1.22244 |
| AKo, two-tone | 68.374 | 65.320 | +3.054 | 1.04675 |
| AKo, monotone | 64.240 | 65.320 | -1.080 | 0.98347 |
| AKo, paired | 69.580 | 65.320 | +4.260 | 1.06522 |
| ATs, all flops | 30.465 | 64.602 | -34.137 | 0.47158 |
| ATs, rainbow, ten or higher | 30.441 | 64.602 | -34.161 | 0.47121 |
| ATs, rainbow, nine or lower | 20.150 | 64.602 | -44.452 | 0.31191 |
| ATs, two-tone | 31.626 | 64.602 | -32.976 | 0.48955 |
| ATs, monotone | 35.760 | 64.602 | -28.842 | 0.55354 |
| ATs, paired | 30.420 | 64.602 | -34.182 | 0.47088 |
Does a shared suit matter?
When the hands share a suit, AKo holds 70.30%; when they do not, it holds 69.15%. AKo does better with a shared suit, by 1.15 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | ATs wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 68.056 | 4.496 | 27.448 | 70.304 |
| No shared suit | 24 | 66.67 | 66.955 | 4.391 | 28.654 | 69.150 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are AKo against ATs, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKo's average share is $139.08 (a gain of $39.08) and ATs' is $60.92 (a loss of $39.08).
Per 1,000 deals: AKo wins about 673, ATs wins about 283, and about 44 end in a split pot.
The same matchup from the other side
ATs versus AKo is this same page seen from the other hand: 30.46% for ATs, 69.54% for AKo.
Keep exploring
The calculator link fills in AsKh against AdTd, 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
Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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