AJo
62.89%
Wins 62.67%, ties 0.44%
KTo
37.11%
Wins 36.89%, ties 0.44%
AJo against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 62.672 | 0.444 | 36.884 | 62.894 |
| KTo | 36.884 | 0.444 | 62.672 | 37.106 |
This is a contest between two offsuit hands, AJo and KTo. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.44% of the boards, and both equity figures count them as half a win each.
Ranked by equity against a random hand, AJo is number 15 of the 169 starting hands and KTo is number 33.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 154,531,000 | 1,095,000 | 90,946,000 |
| KTo | 90,946,000 | 1,095,000 | 154,531,000 |
144 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) |
|---|---|---|---|---|
| AJo | 1.695 | 1.596 | 2.711 | 0.590 |
| KTo | 0.590 | 2.711 | 1.596 | 1.695 |
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
AJo prefers low rainbow flops (nine high or lower), where it holds 75.28%, and likes rainbow flops topped by a ten or better least, where it holds 58.04%. 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 | KTo wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 57.977 | 0.123 | 41.900 | 58.039 |
| Rainbow, nine or lower | 7.771 | 74.796 | 0.969 | 24.235 | 75.280 |
| Two-tone | 46.606 | 62.033 | 0.319 | 37.648 | 62.192 |
| Monotone | 5.151 | 59.902 | 1.703 | 38.395 | 60.754 |
| Paired | 17.091 | 66.159 | 0.608 | 33.233 | 66.463 |
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
A random hand would give AJo 63.56% and KTo 59.74%. Against each other the change is -0.67 points for AJo and -22.63 for KTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 62.894 | 63.563 | -0.669 | 0.98948 |
| AJo, rainbow, ten or higher | 58.039 | 63.563 | -5.524 | 0.91309 |
| AJo, rainbow, nine or lower | 75.280 | 63.563 | +11.717 | 1.18434 |
| AJo, two-tone | 62.192 | 63.563 | -1.371 | 0.97843 |
| AJo, monotone | 60.754 | 63.563 | -2.809 | 0.95581 |
| AJo, paired | 66.463 | 63.563 | +2.900 | 1.04562 |
| KTo, all flops | 37.106 | 59.739 | -22.633 | 0.62114 |
| KTo, rainbow, ten or higher | 41.961 | 59.739 | -17.778 | 0.70241 |
| KTo, rainbow, nine or lower | 24.720 | 59.739 | -35.019 | 0.41380 |
| KTo, two-tone | 37.808 | 59.739 | -21.931 | 0.63289 |
| KTo, monotone | 39.246 | 59.739 | -20.493 | 0.65696 |
| KTo, paired | 33.537 | 59.739 | -26.202 | 0.56139 |
Does a shared suit matter?
The suit split reads 62.96% for AJo with a shared suit and 62.57% without one. AJo does better with a shared suit, by 0.39 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | KTo wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 62.728 | 0.460 | 36.812 | 62.958 |
| No shared suit | 24 | 16.67 | 62.392 | 0.365 | 37.243 | 62.574 |
How often this matchup comes up
Counting specific cards, AJo against KTo appears in 144 of the 1,624,350 ordered heads-up deals (0.0089%), and in 288 when the seats are swapped too (0.0177%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AJo gets $125.78 of it on average and KTo gets $74.22.
A thousand deals look like this: AJo takes 627, KTo takes 369, 4 are ties.
The same matchup from the other side
Swap the hands and you get KTo with 37.11% against AJo with 62.89%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with AsJh against KdTc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
This is an exact count with no sampling. For the 144 ways to deal one AJo and one KTo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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