AKo
70.13%
Wins 69.56%, ties 1.14%
KJs
29.87%
Wins 29.30%, ties 1.14%
AKo against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 69.558 | 1.142 | 29.300 | 70.129 |
| KJs | 29.300 | 1.142 | 69.558 | 29.871 |
One side is an offsuit hand, the other is a suited hand. 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.
A lead of 40.26 points is large but not decisive: KJs still takes about 293 of every 1,000 deals. Of every 100 boards, about 1.14 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, AKo is number 12 and KJs is number 20.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 42,878,000 | 704,000 | 18,061,000 |
| KJs | 18,061,000 | 704,000 | 42,878,000 |
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 | 2.348 | 1.438 | 3.413 | 0.426 |
| KJs | 0.426 | 3.413 | 1.438 | 2.348 |
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
If you know the kind of flop that came, the numbers shift: AKo holds 82.97% on low rainbow flops (nine high or lower) and 65.32% 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 | KJs wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 67.628 | 0.776 | 31.596 | 68.016 |
| Rainbow, nine or lower | 7.771 | 82.364 | 1.205 | 16.431 | 82.967 |
| Two-tone | 46.527 | 67.812 | 0.825 | 31.363 | 68.225 |
| Monotone | 5.192 | 64.030 | 2.576 | 33.394 | 65.318 |
| Paired | 17.333 | 72.736 | 2.026 | 25.238 | 73.749 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
A random hand would give AKo 65.32% and KJs 62.57%. Against each other the change is +4.81 points for AKo and -32.70 for KJs.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 70.129 | 65.320 | +4.809 | 1.07362 |
| AKo, rainbow, ten or higher | 68.016 | 65.320 | +2.696 | 1.04127 |
| AKo, rainbow, nine or lower | 82.967 | 65.320 | +17.647 | 1.27016 |
| AKo, two-tone | 68.225 | 65.320 | +2.905 | 1.04447 |
| AKo, monotone | 65.318 | 65.320 | -0.002 | 0.99997 |
| AKo, paired | 73.749 | 65.320 | +8.429 | 1.12904 |
| KJs, all flops | 29.871 | 62.567 | -32.696 | 0.47742 |
| KJs, rainbow, ten or higher | 31.984 | 62.567 | -30.583 | 0.51120 |
| KJs, rainbow, nine or lower | 17.033 | 62.567 | -45.534 | 0.27224 |
| KJs, two-tone | 31.775 | 62.567 | -30.792 | 0.50786 |
| KJs, monotone | 34.682 | 62.567 | -27.885 | 0.55432 |
| KJs, paired | 26.251 | 62.567 | -36.316 | 0.41957 |
Does a shared suit matter?
The suit split reads 71.20% for AKo with a shared suit and 69.59% without one. AKo does better with a shared suit, by 1.61 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | KJs wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.594 | 1.207 | 28.199 | 71.197 |
| No shared suit | 24 | 66.67 | 69.040 | 1.109 | 29.851 | 69.594 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
Put $100 each into a $200 pot and deal every board once: AKo averages $140.26 back, ahead of its $100 by $40.26, while KJs averages $59.74, short of its $100 by $40.26.
A thousand deals look like this: AKo takes 696, KJs takes 293, 11 are ties.
The same matchup from the other side
Swap the hands and you get KJs with 29.87% against AKo with 70.13%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try AsKh against KdJd 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 36 specific deals of AKo against KJs, 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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