AKo
69.83%
Wins 69.27%, ties 1.13%
KTs
30.17%
Wins 29.60%, ties 1.13%
AKo against KTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 69.267 | 1.133 | 29.600 | 69.834 |
| KTs | 29.600 | 1.133 | 69.267 | 30.166 |
Here an offsuit hand (AKo) meets a suited hand (KTs). Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
AKo is the clear favorite, though KTs gets there on roughly one board in 3. A split pot comes up on 1.13% of boards, so the wins and the equity differ by half of that.
For context, AKo sits at number 12 of 169 starting hands and KTs at number 22 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 42,698,000 | 698,000 | 18,246,000 |
| KTs | 18,246,000 | 698,000 | 42,698,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| AKo | 2.315 | 1.444 | 3.378 | 0.432 |
| KTs | 0.432 | 3.378 | 1.444 | 2.315 |
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, AKo peaks at 81.50% on low rainbow flops (nine high or lower) and bottoms out at 65.10% on monotone flops. AKo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AKo wins | Ties | KTs wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 67.576 | 0.818 | 31.606 | 67.985 |
| Rainbow, nine or lower | 7.771 | 80.996 | 1.016 | 17.988 | 81.504 |
| Two-tone | 46.527 | 67.476 | 0.813 | 31.711 | 67.883 |
| Monotone | 5.192 | 63.818 | 2.571 | 33.611 | 65.103 |
| Paired | 17.333 | 72.711 | 2.033 | 25.256 | 73.728 |
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
Each hand has a baseline against a random hand: 65.32% for AKo, 61.79% for KTs. Here the change is +4.51 and -31.62 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 69.834 | 65.320 | +4.514 | 1.06911 |
| AKo, rainbow, ten or higher | 67.985 | 65.320 | +2.665 | 1.04080 |
| AKo, rainbow, nine or lower | 81.504 | 65.320 | +16.184 | 1.24776 |
| AKo, two-tone | 67.883 | 65.320 | +2.563 | 1.03924 |
| AKo, monotone | 65.103 | 65.320 | -0.217 | 0.99668 |
| AKo, paired | 73.728 | 65.320 | +8.408 | 1.12872 |
| KTs, all flops | 30.166 | 61.789 | -31.623 | 0.48821 |
| KTs, rainbow, ten or higher | 32.015 | 61.789 | -29.774 | 0.51813 |
| KTs, rainbow, nine or lower | 18.496 | 61.789 | -43.293 | 0.29934 |
| KTs, two-tone | 32.117 | 61.789 | -29.672 | 0.51979 |
| KTs, monotone | 34.897 | 61.789 | -26.892 | 0.56478 |
| KTs, paired | 26.272 | 61.789 | -35.517 | 0.42519 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKo has 70.90%; looking only at deals where they do not, 69.30%. AKo does better with a shared suit, by 1.60 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | KTs wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.297 | 1.198 | 28.505 | 70.896 |
| No shared suit | 24 | 66.67 | 68.752 | 1.100 | 30.148 | 69.302 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
Put $100 each into a $200 pot and deal every board once: AKo averages $139.66 back, ahead of its $100 by $39.66, while KTs averages $60.34, short of its $100 by $39.66.
Run 1,000 deals and the tally comes out near 693 for AKo, 296 for KTs and 11 ties.
The same matchup from the other side
If you came looking for KTs against AKo, the numbers are the same with the hands swapped: 30.17% and 69.83%.
Keep exploring
The calculator link fills in AsKh against KdTd, 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
Method: exact enumeration. The 36 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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