AKs
70.89%
Wins 70.32%, ties 1.14%
KTs
29.11%
Wins 28.54%, ties 1.14%
AKs against KTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 70.323 | 1.143 | 28.534 | 70.894 |
| KTs | 28.534 | 1.143 | 70.323 | 29.106 |
AKs meets KTs, and both are suited hands. 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.
That is a clear edge, 70.89% to 29.11%, but KTs still wins often enough that one hand proves nothing. 1.14% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, AKs is number 8 and KTs is number 22 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 14,450,000 | 235,000 | 5,863,000 |
| KTs | 5,863,000 | 235,000 | 14,450,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| AKs | 2.436 | 1.422 | 3.505 | 0.411 |
| KTs | 0.411 | 3.505 | 1.422 | 2.436 |
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
Break the boards down by their first three cards and AKs is strongest on low rainbow flops (nine high or lower) (82.10%) and weakest on monotone flops (63.87%). AKs 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 | AKs wins | Ties | KTs wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 68.490 | 0.801 | 30.709 | 68.890 |
| Rainbow, nine or lower | 7.771 | 81.619 | 0.967 | 17.414 | 82.102 |
| Two-tone | 46.543 | 69.065 | 0.749 | 30.186 | 69.439 |
| Monotone | 5.215 | 62.130 | 3.479 | 34.391 | 63.869 |
| Paired | 17.333 | 73.551 | 2.031 | 24.418 | 74.566 |
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
How much does the opponent matter? Compared with its random-hand 67.05%, AKs changes by +3.84 points, and KTs, from 61.79%, by -32.68.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 70.894 | 67.045 | +3.849 | 1.05741 |
| AKs, rainbow, ten or higher | 68.890 | 67.045 | +1.845 | 1.02752 |
| AKs, rainbow, nine or lower | 82.102 | 67.045 | +15.057 | 1.22458 |
| AKs, two-tone | 69.439 | 67.045 | +2.394 | 1.03571 |
| AKs, monotone | 63.869 | 67.045 | -3.176 | 0.95263 |
| AKs, paired | 74.566 | 67.045 | +7.521 | 1.11218 |
| KTs, all flops | 29.106 | 61.789 | -32.683 | 0.47105 |
| KTs, rainbow, ten or higher | 31.110 | 61.789 | -30.679 | 0.50349 |
| KTs, rainbow, nine or lower | 17.898 | 61.789 | -43.891 | 0.28966 |
| KTs, two-tone | 30.561 | 61.789 | -31.228 | 0.49460 |
| KTs, monotone | 36.131 | 61.789 | -25.658 | 0.58475 |
| KTs, paired | 25.434 | 61.789 | -36.355 | 0.41163 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | AKs wins | Ties | KTs wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 70.323 | 1.143 | 28.534 | 70.894 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
Take a $200 pot built from $100 each. AKs' equity of 70.89% is worth $141.78, a $41.78 edge, and KTs' 29.11% is worth $58.22, which is $41.78 under its stake.
Per 1,000 deals: AKs wins about 703, KTs wins about 285, and about 12 end in a split pot.
The same matchup from the other side
KTs versus AKs is this same page seen from the other hand: 29.11% for KTs, 70.89% for AKs.
Keep exploring
AsKs against KhTh 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
Nothing here is simulated. The 12 deals of AKs against KTs fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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