AA
82.13%
Wins 81.93%, ties 0.40%
KTs
17.87%
Wins 17.67%, ties 0.40%
AA against KTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 81.929 | 0.396 | 17.675 | 82.127 |
| KTs | 17.675 | 0.396 | 81.929 | 17.873 |
AA and KTs are a pocket pair and a suited hand, in that order. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
AA is a big favorite here before anyone sees a flop. Ties are 0.40% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, AA is number 1 of the 169 starting hands and KTs is number 22.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 33,669,000 | 163,000 | 7,264,000 |
| KTs | 7,264,000 | 163,000 | 33,669,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| AA | 4.595 | 1.221 | 5.658 | 0.218 |
| KTs | 0.218 | 5.658 | 1.221 | 4.595 |
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
Split by what the flop looks like, AA peaks at 92.12% on low rainbow flops (nine high or lower) and bottoms out at 76.07% 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 | KTs wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 81.352 | 0.159 | 18.489 | 81.432 |
| Rainbow, nine or lower | 7.771 | 91.624 | 0.988 | 7.388 | 92.118 |
| Two-tone | 46.545 | 80.202 | 0.334 | 19.464 | 80.369 |
| Monotone | 5.212 | 74.864 | 2.413 | 22.723 | 76.070 |
| Paired | 17.334 | 85.115 | 0.007 | 14.878 | 85.118 |
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
Compared with a random opponent, this matchup shifts AA from 85.20% by -3.07 points and KTs from 61.79% by -43.92 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 82.127 | 85.204 | -3.077 | 0.96389 |
| AA, rainbow, ten or higher | 81.432 | 85.204 | -3.772 | 0.95573 |
| AA, rainbow, nine or lower | 92.118 | 85.204 | +6.914 | 1.08115 |
| AA, two-tone | 80.369 | 85.204 | -4.835 | 0.94325 |
| AA, monotone | 76.070 | 85.204 | -9.134 | 0.89280 |
| AA, paired | 85.118 | 85.204 | -0.086 | 0.99899 |
| KTs, all flops | 17.873 | 61.789 | -43.916 | 0.28926 |
| KTs, rainbow, ten or higher | 18.568 | 61.789 | -43.221 | 0.30051 |
| KTs, rainbow, nine or lower | 7.882 | 61.789 | -53.907 | 0.12756 |
| KTs, two-tone | 19.631 | 61.789 | -42.158 | 0.31771 |
| KTs, monotone | 23.930 | 61.789 | -37.859 | 0.38729 |
| KTs, paired | 14.882 | 61.789 | -46.907 | 0.24085 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AA has 82.74%; looking only at deals where they do not, 81.52%. AA does better with a shared suit, by 1.22 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | KTs wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 82.517 | 0.438 | 17.045 | 82.736 |
| No shared suit | 12 | 50.00 | 81.341 | 0.355 | 18.304 | 81.518 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Take a $200 pot built from $100 each. AA's equity of 82.13% is worth $164.26, a $64.26 edge, and KTs' 17.87% is worth $35.74, which is $64.26 under its stake.
Over a long run, 1,000 deals split into about 819 for AA, 177 for KTs and 4 tied.
The same matchup from the other side
KTs versus AA is this same page seen from the other hand: 17.87% for KTs, 82.13% for AA.
Keep exploring
Try AsAh against KdTd 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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