AJo
74.35%
Wins 73.56%, ties 1.56%
KJo
25.65%
Wins 24.88%, ties 1.56%
AJo against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 73.564 | 1.564 | 24.872 | 74.346 |
| KJo | 24.872 | 1.564 | 73.564 | 25.654 |
Both hands are offsuit hands: AJo and KJo. 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.
AJo is well ahead, and KJo needs a specific kind of board to catch up. Split pots make up 1.56% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, AJo is number 15 and KJo is number 26 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 136,041,000 | 2,892,000 | 45,995,000 |
| KJo | 45,995,000 | 2,892,000 | 136,041,000 |
Exact total: 108 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AJo | 2.898 | 1.359 | 4.021 | 0.345 |
| KJo | 0.345 | 4.021 | 1.359 | 2.898 |
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
Across the five flop textures AJo's equity moves by 17.78 points, from 68.63% on monotone flops to 86.41% on low rainbow flops (nine high or lower). 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 | KJo wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 69.665 | 1.254 | 29.081 | 70.292 |
| Rainbow, nine or lower | 7.771 | 85.429 | 1.952 | 12.619 | 86.405 |
| Two-tone | 46.477 | 72.989 | 1.374 | 25.637 | 73.676 |
| Monotone | 5.144 | 67.461 | 2.328 | 30.211 | 68.625 |
| Paired | 17.333 | 76.833 | 2.090 | 21.077 | 77.878 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts AJo from 63.56% by +10.79 points and KJo from 60.57% by -34.92 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 74.346 | 63.563 | +10.783 | 1.16964 |
| AJo, rainbow, ten or higher | 70.292 | 63.563 | +6.729 | 1.10586 |
| AJo, rainbow, nine or lower | 86.405 | 63.563 | +22.842 | 1.35936 |
| AJo, two-tone | 73.676 | 63.563 | +10.113 | 1.15910 |
| AJo, monotone | 68.625 | 63.563 | +5.062 | 1.07964 |
| AJo, paired | 77.878 | 63.563 | +14.315 | 1.22521 |
| KJo, all flops | 25.654 | 60.569 | -34.915 | 0.42355 |
| KJo, rainbow, ten or higher | 29.708 | 60.569 | -30.861 | 0.49048 |
| KJo, rainbow, nine or lower | 13.595 | 60.569 | -46.974 | 0.22445 |
| KJo, two-tone | 26.324 | 60.569 | -34.245 | 0.43461 |
| KJo, monotone | 31.375 | 60.569 | -29.194 | 0.51800 |
| KJo, paired | 22.122 | 60.569 | -38.447 | 0.36524 |
Does a shared suit matter?
Two kinds of deal exist here. In 84 of them the hands share a suit and AJo holds 74.45%. In 24 they do not, and it holds 73.99%. AJo does better with a shared suit, by 0.46 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | KJo wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 73.655 | 1.587 | 24.758 | 74.448 |
| No shared suit | 24 | 22.22 | 73.246 | 1.482 | 25.272 | 73.987 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 108 are AJo in one seat and KJo in the other (0.0066%); with the seats swapped too, 216 (0.0133%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AJo averages $148.70 from the $200, up $48.70; KJo averages $51.30, down $48.70.
A thousand deals look like this: AJo takes 735, KJo takes 249, 16 are ties.
The same matchup from the other side
One page covers both views. From KJo's side the equity is 25.65%, and from AJo's side it is 74.35%.
Keep exploring
AsJh against KdJc is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
This is an exact count with no sampling. For the 108 ways to deal one AJo and one KJo 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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