AA
82.53%
Wins 82.33%, ties 0.41%
KJs
17.47%
Wins 17.26%, ties 0.41%
AA against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 82.328 | 0.407 | 17.265 | 82.531 |
| KJs | 17.265 | 0.407 | 82.328 | 17.469 |
AA is a pocket pair and KJs is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
A gap this wide means KJs is in trouble before the flop and has few good runouts. The tie share is 0.41%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, AA is number 1 of the 169 starting hands and KJs is number 20.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 33,833,000 | 167,000 | 7,095,000 |
| KJs | 7,095,000 | 167,000 | 33,833,000 |
The total is exact: 24 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 | 4.724 | 1.215 | 5.792 | 0.212 |
| KJs | 0.212 | 5.792 | 1.215 | 4.724 |
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
By flop texture, AA's equity runs from 76.39% on monotone flops up to 93.67% on low rainbow flops (nine high or lower). 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 | KJs wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 81.519 | 0.117 | 18.364 | 81.578 |
| Rainbow, nine or lower | 7.771 | 93.079 | 1.177 | 5.744 | 93.668 |
| Two-tone | 46.545 | 80.646 | 0.347 | 19.007 | 80.820 |
| Monotone | 5.212 | 75.179 | 2.420 | 22.401 | 76.389 |
| Paired | 17.334 | 85.251 | 0.007 | 14.742 | 85.255 |
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
Start from the random-hand figures, 85.20% for AA and 62.57% for KJs. This opponent changes them by -2.67 and -45.10 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 82.531 | 85.204 | -2.673 | 0.96863 |
| AA, rainbow, ten or higher | 81.578 | 85.204 | -3.626 | 0.95744 |
| AA, rainbow, nine or lower | 93.668 | 85.204 | +8.464 | 1.09934 |
| AA, two-tone | 80.820 | 85.204 | -4.384 | 0.94855 |
| AA, monotone | 76.389 | 85.204 | -8.815 | 0.89654 |
| AA, paired | 85.255 | 85.204 | +0.051 | 1.00060 |
| KJs, all flops | 17.469 | 62.567 | -45.098 | 0.27920 |
| KJs, rainbow, ten or higher | 18.422 | 62.567 | -44.145 | 0.29444 |
| KJs, rainbow, nine or lower | 6.332 | 62.567 | -56.235 | 0.10120 |
| KJs, two-tone | 19.180 | 62.567 | -43.387 | 0.30655 |
| KJs, monotone | 23.611 | 62.567 | -38.956 | 0.37737 |
| KJs, paired | 14.745 | 62.567 | -47.822 | 0.23567 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AA has 83.15% equity, and with none in common it has 81.92%. AA does better with a shared suit, by 1.23 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | KJs wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 82.921 | 0.449 | 16.630 | 83.146 |
| No shared suit | 12 | 50.00 | 81.734 | 0.366 | 17.900 | 81.917 |
How often this matchup comes up
Counting specific cards, AA against KJs appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AA gets $165.06 of it on average and KJs gets $34.94.
Out of 1,000 deals you should see around 823 outright wins for AA, 173 for KJs, and 4 split pots.
The same matchup from the other side
KJs against AA adds nothing new: it is 17.47% for KJs and 82.53% for AA, the same figures reversed.
Keep exploring
Open the calculator with AsAh against KdJd 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of AA 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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