AKo
60.07%
Wins 59.80%, ties 0.53%
53s
39.93%
Wins 39.67%, ties 0.53%
AKo against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 59.798 | 0.534 | 39.668 | 60.065 |
| 53s | 39.668 | 0.534 | 59.798 | 39.935 |
One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 20.14 point lead is real, and 53s still takes about 397 of every 1,000 deals outright. Ties are part of the picture: 0.53% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, AKo is number 12 and 53s is number 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 49,148,000 | 439,000 | 32,603,000 |
| 53s | 32,603,000 | 439,000 | 49,148,000 |
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 | 1.504 | 1.672 | 2.521 | 0.665 |
| 53s | 0.665 | 2.521 | 1.672 | 1.504 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for AKo (67.84%); low rainbow flops (nine high or lower) are the worst (34.53%). AKo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | AKo wins | Ties | 53s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.734 | 0.201 | 32.065 | 67.835 |
| Rainbow, nine or lower | 6.313 | 33.966 | 1.127 | 64.907 | 34.530 |
| Two-tone | 46.667 | 58.091 | 0.363 | 41.546 | 58.272 |
| Monotone | 5.212 | 56.988 | 2.509 | 40.503 | 58.242 |
| Paired | 17.091 | 63.381 | 0.661 | 35.958 | 63.712 |
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 65.32%, AKo changes by -5.25 points, and 53s, from 39.69%, by +0.24.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 60.065 | 65.320 | -5.255 | 0.91955 |
| AKo, rainbow, ten or higher | 67.835 | 65.320 | +2.515 | 1.03850 |
| AKo, rainbow, nine or lower | 34.530 | 65.320 | -30.790 | 0.52863 |
| AKo, two-tone | 58.272 | 65.320 | -7.048 | 0.89210 |
| AKo, monotone | 58.242 | 65.320 | -7.078 | 0.89164 |
| AKo, paired | 63.712 | 65.320 | -1.608 | 0.97538 |
| 53s, all flops | 39.935 | 39.693 | +0.242 | 1.00610 |
| 53s, rainbow, ten or higher | 32.165 | 39.693 | -7.528 | 0.81034 |
| 53s, rainbow, nine or lower | 65.470 | 39.693 | +25.777 | 1.64941 |
| 53s, two-tone | 41.728 | 39.693 | +2.035 | 1.05127 |
| 53s, monotone | 41.758 | 39.693 | +2.065 | 1.05202 |
| 53s, paired | 36.288 | 39.693 | -3.405 | 0.91422 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKo has 60.76%; looking only at deals where they do not, 59.37%. AKo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 53s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.472 | 0.572 | 38.956 | 60.758 |
| No shared suit | 24 | 50.00 | 59.124 | 0.496 | 40.380 | 59.372 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AKo takes back $120.14 of it, which is $20.14 more than it put in, and 53s takes back $79.86, $20.14 less than it put in.
Over a long run, 1,000 deals split into about 598 for AKo, 397 for 53s and 5 tied.
The same matchup from the other side
The reversed view, 53s against AKo, shows 39.93% for 53s and 60.07% for AKo. It is the same count, so it redirects here.
Keep exploring
Try AsKh against 5d3d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 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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