AKs
48.03%
Wins 47.80%, ties 0.48%
55
51.97%
Wins 51.72%, ties 0.48%
AKs against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 47.796 | 0.477 | 51.727 | 48.034 |
| 55 | 51.727 | 0.477 | 47.796 | 51.966 |
AKs and 55 are a suited hand and a pocket pair, in that order. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
That is a slim edge: neither hand is far ahead. Split pots make up 0.48% of the boards, and both equity figures count them as half a win each.
Ranked by equity against a random hand, AKs is number 8 of the 169 starting hands and 55 is number 27.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 19,642,000 | 196,000 | 21,257,000 |
| 55 | 21,257,000 | 196,000 | 19,642,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| AKs | 0.924 | 2.092 | 1.933 | 1.082 |
| 55 | 1.082 | 1.933 | 2.092 | 0.924 |
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
Across the five flop textures 55's equity moves by 32.02 points, from 46.32% on rainbow flops topped by a ten or better to 78.34% on low rainbow flops (nine high or lower). 55 is the favorite overall but falls behind on rainbow flops topped by a ten or better.
| Flop | Share of flops | AKs wins | Ties | 55 wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 53.581 | 0.199 | 46.220 | 53.681 |
| Rainbow, nine or lower | 6.314 | 21.214 | 0.900 | 77.886 | 21.664 |
| Two-tone | 46.545 | 49.281 | 0.313 | 50.406 | 49.438 |
| Monotone | 5.212 | 47.249 | 2.601 | 50.150 | 48.550 |
| Paired | 17.334 | 45.445 | 0.519 | 54.036 | 45.705 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 67.05%, AKs changes by -19.02 points, and 55, from 60.33%, by -8.36.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 48.034 | 67.045 | -19.011 | 0.71644 |
| AKs, rainbow, ten or higher | 53.681 | 67.045 | -13.364 | 0.80067 |
| AKs, rainbow, nine or lower | 21.664 | 67.045 | -45.381 | 0.32313 |
| AKs, two-tone | 49.438 | 67.045 | -17.607 | 0.73739 |
| AKs, monotone | 48.550 | 67.045 | -18.495 | 0.72414 |
| AKs, paired | 45.705 | 67.045 | -21.340 | 0.68171 |
| 55, all flops | 51.966 | 60.325 | -8.359 | 0.86143 |
| 55, rainbow, ten or higher | 46.319 | 60.325 | -14.006 | 0.76782 |
| 55, rainbow, nine or lower | 78.336 | 60.325 | +18.011 | 1.29857 |
| 55, two-tone | 50.562 | 60.325 | -9.763 | 0.83816 |
| 55, monotone | 51.450 | 60.325 | -8.875 | 0.85288 |
| 55, paired | 54.295 | 60.325 | -6.030 | 0.90004 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and 55 holds 52.15%. In 12 they do not, and it holds 51.78%. 55 does better with a shared suit, by 0.37 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | 55 wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 47.589 | 0.519 | 51.892 | 47.849 |
| No shared suit | 12 | 50.00 | 48.003 | 0.434 | 51.563 | 48.220 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
With $100 from each side, the $200 pot is split on average as $103.94 for 55 and $96.06 for AKs; the first side gains $3.94 per all-in and the second gives up $3.94.
Think in thousands: about 517 of 1,000 go to 55, about 478 go to AKs, and about 5 are chopped.
The same matchup from the other side
The mirror image, 55 against AKs, is 51.97% to 48.03%, and its address redirects to this page.
Keep exploring
AsKs against 5h5d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 24 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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