AA
86.68%
Wins 86.49%, ties 0.39%
KJo
13.32%
Wins 13.12%, ties 0.39%
AA against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 86.486 | 0.393 | 13.121 | 86.682 |
| KJo | 13.121 | 0.393 | 86.486 | 13.318 |
AA, a pocket pair, plays KJo, an offsuit hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
That is a heavy lead: KJo needs the board to help it on most runouts and still falls behind far more often than not. Ties are part of the picture: 0.39% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts AA at 1 and KJo at 26 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 106,625,000 | 485,000 | 16,176,000 |
| KJo | 16,176,000 | 485,000 | 106,625,000 |
The total is exact: 72 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) |
|---|---|---|---|---|
| AA | 6.509 | 1.156 | 7.621 | 0.154 |
| KJo | 0.154 | 7.621 | 1.156 | 6.509 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: AA holds 96.57% on low rainbow flops (nine high or lower) and 81.29% on monotone flops. AA 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 | AA wins | Ties | KJo wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 83.662 | 0.121 | 16.217 | 83.722 |
| Rainbow, nine or lower | 7.771 | 95.956 | 1.234 | 2.810 | 96.573 |
| Two-tone | 46.485 | 86.128 | 0.383 | 13.489 | 86.319 |
| Monotone | 5.151 | 80.414 | 1.750 | 17.836 | 81.289 |
| Paired | 17.333 | 88.793 | 0.007 | 11.200 | 88.797 |
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
Against one random hand instead, AA holds 85.20% and KJo holds 60.57%. Facing each other changes that by +1.48 points for AA and -47.25 points for KJo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 86.682 | 85.204 | +1.478 | 1.01735 |
| AA, rainbow, ten or higher | 83.722 | 85.204 | -1.482 | 0.98261 |
| AA, rainbow, nine or lower | 96.573 | 85.204 | +11.369 | 1.13343 |
| AA, two-tone | 86.319 | 85.204 | +1.115 | 1.01309 |
| AA, monotone | 81.289 | 85.204 | -3.915 | 0.95405 |
| AA, paired | 88.797 | 85.204 | +3.593 | 1.04217 |
| KJo, all flops | 13.318 | 60.569 | -47.251 | 0.21988 |
| KJo, rainbow, ten or higher | 16.278 | 60.569 | -44.291 | 0.26875 |
| KJo, rainbow, nine or lower | 3.427 | 60.569 | -57.142 | 0.05658 |
| KJo, two-tone | 13.681 | 60.569 | -46.888 | 0.22587 |
| KJo, monotone | 18.711 | 60.569 | -41.858 | 0.30892 |
| KJo, paired | 11.203 | 60.569 | -49.366 | 0.18496 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (AA at 86.84%) and 12 do not (85.92%). AA does better with a shared suit, by 0.92 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | KJo wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 86.631 | 0.409 | 12.960 | 86.835 |
| No shared suit | 12 | 16.67 | 85.762 | 0.313 | 13.925 | 85.919 |
How often this matchup comes up
How often does it happen? 72 of the 1,624,350 ordered deals (0.0044%) are AA against KJo, and 144 (0.0089%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AA averages $173.36 from the $200, up $73.36; KJo averages $26.64, down $73.36.
In 1,000 deals of exactly this matchup, expect about 865 won outright by AA, about 131 won outright by KJo and about 4 split.
The same matchup from the other side
The reversed view, KJo against AA, shows 13.32% for KJo and 86.68% for AA. It is the same count, so it redirects here.
Keep exploring
AsAh 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
We counted every case. Each suit pattern of the 72 specific AA against KJo deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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