AKs
52.49%
Wins 7.16%, ties 90.67%
AKo
47.51%
Wins 2.17%, ties 90.67%
AKs against AKo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 7.157 | 90.670 | 2.173 | 52.492 |
| AKo | 2.173 | 90.670 | 7.157 | 47.508 |
Here a suited hand (AKs) meets an offsuit hand (AKo). The two classes use the same two ranks and differ only in suits, so the suited hand is ahead mainly by making flushes.
This is close to even money, with AKs a little ahead. 90.67% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 8 of 169 belongs to AKs and place 12 belongs to AKo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 2,941,000 | 37,261,000 | 893,000 |
| AKo | 893,000 | 37,261,000 | 2,941,000 |
The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| AKs | 1.105 | 13.972 | 46.019 | 0.905 |
| AKo | 0.905 | 46.019 | 13.972 | 1.105 |
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, AKs peaks at 53.28% on two-tone flops and bottoms out at 50.29% on monotone flops. AKs stays ahead on all five textures, and the gap between its best and worst is only 2.99 points, so the shape of the flop hardly changes who is favored.
| Flop | Share of flops | AKs wins | Ties | AKo wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 3.265 | 96.735 | 0.000 | 51.633 |
| Rainbow, nine or lower | 7.771 | 3.409 | 96.591 | 0.000 | 51.705 |
| Two-tone | 46.363 | 8.829 | 88.901 | 2.270 | 53.280 |
| Monotone | 5.152 | 18.512 | 63.547 | 17.941 | 50.285 |
| Paired | 17.576 | 6.201 | 92.681 | 1.118 | 52.541 |
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 AKs 67.05% and AKo 65.32%. Against each other the change is -14.56 points for AKs and -17.81 for AKo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 52.492 | 67.045 | -14.553 | 0.78294 |
| AKs, rainbow, ten or higher | 51.633 | 67.045 | -15.412 | 0.77012 |
| AKs, rainbow, nine or lower | 51.705 | 67.045 | -15.340 | 0.77120 |
| AKs, two-tone | 53.280 | 67.045 | -13.765 | 0.79469 |
| AKs, monotone | 50.285 | 67.045 | -16.760 | 0.75002 |
| AKs, paired | 52.541 | 67.045 | -14.504 | 0.78367 |
| AKo, all flops | 47.508 | 65.320 | -17.812 | 0.72731 |
| AKo, rainbow, ten or higher | 48.367 | 65.320 | -16.953 | 0.74046 |
| AKo, rainbow, nine or lower | 48.295 | 65.320 | -17.025 | 0.73936 |
| AKo, two-tone | 46.720 | 65.320 | -18.600 | 0.71525 |
| AKo, monotone | 49.715 | 65.320 | -15.605 | 0.76110 |
| AKo, paired | 47.459 | 65.320 | -17.861 | 0.72656 |
Does a shared suit matter?
Every legal deal of AKs against AKo leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | AKs wins | Ties | AKo wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 24 | 100.00 | 7.157 | 90.670 | 2.173 | 52.492 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are AKs against AKo, and 48 (0.0030%) 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, AKs' average share is $104.98 (a gain of $4.98) and AKo's is $95.02 (a loss of $4.98).
Think in thousands: about 71 of 1,000 go to AKs, about 22 go to AKo, and about 907 are chopped.
The same matchup from the other side
Swap the hands and you get AKo with 47.51% against AKs with 52.49%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in AsKs against AhKd, 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 24 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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