AKo
60.43%
Wins 60.16%, ties 0.55%
43s
39.57%
Wins 39.29%, ties 0.55%
AKo against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 60.159 | 0.549 | 39.292 | 60.434 |
| 43s | 39.292 | 0.549 | 60.159 | 39.566 |
We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 20.86 point lead is real, and 43s still takes about 393 of every 1,000 deals outright. A split pot comes up on 0.55% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, AKo holds place 12 of 169 and 43s holds place 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 49,445,000 | 451,000 | 32,294,000 |
| 43s | 32,294,000 | 451,000 | 49,445,000 |
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 | 1.527 | 1.662 | 2.545 | 0.655 |
| 43s | 0.655 | 2.545 | 1.662 | 1.527 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
AKo prefers rainbow flops topped by a ten or better, where it holds 68.03%, and likes low rainbow flops (nine high or lower) least, where it holds 35.80%. The lead reverses on low rainbow flops (nine high or lower): there 43s is the favorite even though AKo is ahead overall.
| Flop | Share of flops | AKo wins | Ties | 43s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.927 | 0.201 | 31.872 | 68.028 |
| Rainbow, nine or lower | 6.313 | 35.198 | 1.206 | 63.596 | 35.801 |
| Two-tone | 46.667 | 58.457 | 0.375 | 41.168 | 58.645 |
| Monotone | 5.212 | 57.253 | 2.577 | 40.170 | 58.541 |
| Paired | 17.091 | 63.679 | 0.665 | 35.656 | 64.012 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 65.32%, AKo changes by -4.89 points, and 43s, from 38.64%, by +0.93.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 60.434 | 65.320 | -4.886 | 0.92520 |
| AKo, rainbow, ten or higher | 68.028 | 65.320 | +2.708 | 1.04146 |
| AKo, rainbow, nine or lower | 35.801 | 65.320 | -29.519 | 0.54809 |
| AKo, two-tone | 58.645 | 65.320 | -6.675 | 0.89781 |
| AKo, monotone | 58.541 | 65.320 | -6.779 | 0.89622 |
| AKo, paired | 64.012 | 65.320 | -1.308 | 0.97998 |
| 43s, all flops | 39.566 | 38.642 | +0.924 | 1.02391 |
| 43s, rainbow, ten or higher | 31.972 | 38.642 | -6.670 | 0.82739 |
| 43s, rainbow, nine or lower | 64.199 | 38.642 | +25.557 | 1.66138 |
| 43s, two-tone | 41.355 | 38.642 | +2.713 | 1.07021 |
| 43s, monotone | 41.459 | 38.642 | +2.817 | 1.07290 |
| 43s, paired | 35.988 | 38.642 | -2.654 | 0.93132 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKo has 61.13%; looking only at deals where they do not, 59.74%. AKo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | 43s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.838 | 0.584 | 38.578 | 61.130 |
| No shared suit | 24 | 50.00 | 59.480 | 0.514 | 40.006 | 59.737 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Put $100 each into a $200 pot and deal every board once: AKo averages $120.86 back, ahead of its $100 by $20.86, while 43s averages $79.14, short of its $100 by $20.86.
A thousand deals look like this: AKo takes 602, 43s takes 393, 5 are ties.
The same matchup from the other side
If you came looking for 43s against AKo, the numbers are the same with the hands swapped: 39.57% and 60.43%.
Keep exploring
Try AsKh against 4d3d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of AKo against 43s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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