AKo
58.76%
Wins 58.50%, ties 0.52%
54s
41.24%
Wins 40.98%, ties 0.52%
AKo against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 58.496 | 0.524 | 40.980 | 58.758 |
| 54s | 40.980 | 0.524 | 58.496 | 41.242 |
AKo, an offsuit hand, plays 54s, a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 17.52 point lead is real, and 54s still takes about 410 of every 1,000 deals outright. Of every 100 boards, about 0.52 are split pots, and the equity figures already include them.
By strength against a random hand, AKo holds place 12 of 169 and 54s holds place 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 48,078,000 | 431,000 | 33,682,000 |
| 54s | 33,682,000 | 431,000 | 48,078,000 |
48 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 | 1.425 | 1.710 | 2.440 | 0.702 |
| 54s | 0.702 | 2.440 | 1.710 | 1.425 |
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
If you know the kind of flop that came, the numbers shift: AKo holds 66.54% on rainbow flops topped by a ten or better and 32.41% on low rainbow flops (nine high or lower). On low rainbow flops (nine high or lower) the numbers flip and 54s is the one ahead.
| Flop | Share of flops | AKo wins | Ties | 54s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 66.441 | 0.201 | 33.358 | 66.542 |
| Rainbow, nine or lower | 6.313 | 31.878 | 1.059 | 67.063 | 32.408 |
| Two-tone | 46.667 | 56.763 | 0.353 | 42.884 | 56.939 |
| Monotone | 5.212 | 56.004 | 2.500 | 41.496 | 57.254 |
| Paired | 17.091 | 62.332 | 0.657 | 37.011 | 62.660 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Each hand has a baseline against a random hand: 65.32% for AKo, 41.45% for 54s. Here the change is -6.56 and -0.21 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 58.758 | 65.320 | -6.562 | 0.89954 |
| AKo, rainbow, ten or higher | 66.542 | 65.320 | +1.222 | 1.01871 |
| AKo, rainbow, nine or lower | 32.408 | 65.320 | -32.912 | 0.49614 |
| AKo, two-tone | 56.939 | 65.320 | -8.381 | 0.87169 |
| AKo, monotone | 57.254 | 65.320 | -8.066 | 0.87652 |
| AKo, paired | 62.660 | 65.320 | -2.660 | 0.95928 |
| 54s, all flops | 41.242 | 41.453 | -0.211 | 0.99491 |
| 54s, rainbow, ten or higher | 33.458 | 41.453 | -7.995 | 0.80713 |
| 54s, rainbow, nine or lower | 67.592 | 41.453 | +26.139 | 1.63057 |
| 54s, two-tone | 43.061 | 41.453 | +1.608 | 1.03879 |
| 54s, monotone | 42.746 | 41.453 | +1.293 | 1.03119 |
| 54s, paired | 37.340 | 41.453 | -4.113 | 0.90078 |
Does a shared suit matter?
When the hands share a suit, AKo holds 59.43%; when they do not, it holds 58.09%. AKo does better with a shared suit, by 1.34 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 54s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.146 | 0.562 | 40.292 | 59.427 |
| No shared suit | 24 | 50.00 | 57.847 | 0.485 | 41.668 | 58.089 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are AKo in one seat and 54s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AKo averages $117.52 from the $200, up $17.52; 54s averages $82.48, down $17.52.
A thousand deals look like this: AKo takes 585, 54s takes 410, 5 are ties.
The same matchup from the other side
The mirror image, 54s against AKo, is 41.24% to 58.76%, and its address redirects to this page.
Keep exploring
AsKh against 5d4d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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