AJo
59.21%
Wins 58.98%, ties 0.46%
KTs
40.79%
Wins 40.56%, ties 0.46%
AJo against KTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 58.975 | 0.462 | 40.563 | 59.206 |
| KTs | 40.563 | 0.462 | 58.975 | 40.794 |
One side is an offsuit hand, the other is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 18.42 point lead is real, and KTs still takes about 406 of every 1,000 deals outright. A split pot comes up on 0.46% of boards, so the wins and the equity differ by half of that.
Place 15 of 169 belongs to AJo and place 22 belongs to KTs in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 48,472,000 | 380,000 | 33,339,000 |
| KTs | 33,339,000 | 380,000 | 48,472,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| AJo | 1.451 | 1.696 | 2.465 | 0.689 |
| KTs | 0.689 | 2.465 | 1.696 | 1.451 |
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, AJo peaks at 72.35% on low rainbow flops (nine high or lower) and bottoms out at 56.31% on rainbow flops topped by a ten or better. AJo 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 | AJo wins | Ties | KTs wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 56.249 | 0.119 | 43.632 | 56.308 |
| Rainbow, nine or lower | 7.770 | 71.891 | 0.924 | 27.185 | 72.353 |
| Two-tone | 46.667 | 57.308 | 0.290 | 42.402 | 57.453 |
| Monotone | 5.212 | 55.383 | 2.379 | 42.238 | 56.572 |
| Paired | 17.091 | 62.456 | 0.608 | 36.936 | 62.760 |
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
Compared with a random opponent, this matchup shifts AJo from 63.56% by -4.35 points and KTs from 61.79% by -21.00 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 59.206 | 63.563 | -4.357 | 0.93145 |
| AJo, rainbow, ten or higher | 56.308 | 63.563 | -7.255 | 0.88586 |
| AJo, rainbow, nine or lower | 72.353 | 63.563 | +8.790 | 1.13829 |
| AJo, two-tone | 57.453 | 63.563 | -6.110 | 0.90387 |
| AJo, monotone | 56.572 | 63.563 | -6.991 | 0.89001 |
| AJo, paired | 62.760 | 63.563 | -0.803 | 0.98737 |
| KTs, all flops | 40.794 | 61.789 | -20.995 | 0.66021 |
| KTs, rainbow, ten or higher | 43.692 | 61.789 | -18.097 | 0.70712 |
| KTs, rainbow, nine or lower | 27.647 | 61.789 | -34.142 | 0.44744 |
| KTs, two-tone | 42.547 | 61.789 | -19.242 | 0.68859 |
| KTs, monotone | 43.428 | 61.789 | -18.361 | 0.70284 |
| KTs, paired | 37.240 | 61.789 | -24.549 | 0.60270 |
Does a shared suit matter?
Split by suits, the deals give AJo 59.74% when the hands overlap in a suit and 58.67% when they do not. AJo does better with a shared suit, by 1.07 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | KTs wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.488 | 0.503 | 40.009 | 59.739 |
| No shared suit | 24 | 50.00 | 58.461 | 0.422 | 41.117 | 58.672 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are AJo in one seat and KTs in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Put $100 each into a $200 pot and deal every board once: AJo averages $118.42 back, ahead of its $100 by $18.42, while KTs averages $81.58, short of its $100 by $18.42.
Out of 1,000 deals you should see around 590 outright wins for AJo, 406 for KTs, and 4 split pots.
The same matchup from the other side
The reversed view, KTs against AJo, shows 40.79% for KTs and 59.21% for AJo. It is the same count, so it redirects here.
Keep exploring
Try AsJh against KdTd 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
Nothing here is simulated. The 48 deals of AJo against KTs fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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