KTs
43.30%
Wins 43.03%, ties 0.53%
A3s
56.70%
Wins 56.44%, ties 0.53%
KTs against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 43.029 | 0.534 | 56.437 | 43.296 |
| A3s | 56.437 | 0.534 | 43.029 | 56.704 |
The matchup is suited hands on both sides, KTs against A3s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 13.40 point lead is real, and KTs still takes about 430 of every 1,000 deals outright. 0.53% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 22 of 169 belongs to KTs and place 38 belongs to A3s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 11,789,000 | 146,000 | 15,462,000 |
| A3s | 15,462,000 | 146,000 | 11,789,000 |
The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTs | 0.764 | 2.324 | 1.772 | 1.310 |
| A3s | 1.310 | 1.772 | 2.324 | 0.764 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Across the five flop textures A3s' equity moves by 22.75 points, from 50.73% on rainbow flops topped by a ten or better to 73.48% on low rainbow flops (nine high or lower). A3s 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 | KTs wins | Ties | A3s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 49.189 | 0.163 | 50.648 | 49.271 |
| Rainbow, nine or lower | 7.042 | 26.056 | 0.921 | 73.023 | 26.517 |
| Two-tone | 46.727 | 44.366 | 0.298 | 55.336 | 44.515 |
| Monotone | 5.273 | 44.053 | 3.442 | 52.505 | 45.774 |
| Paired | 17.091 | 37.448 | 0.641 | 61.911 | 37.769 |
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
Against one random hand instead, KTs holds 61.79% and A3s holds 58.22%. Facing each other changes that by -18.49 points for KTs and -1.52 points for A3s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 43.296 | 61.789 | -18.493 | 0.70071 |
| KTs, rainbow, ten or higher | 49.271 | 61.789 | -12.518 | 0.79741 |
| KTs, rainbow, nine or lower | 26.517 | 61.789 | -35.272 | 0.42915 |
| KTs, two-tone | 44.515 | 61.789 | -17.274 | 0.72044 |
| KTs, monotone | 45.774 | 61.789 | -16.015 | 0.74081 |
| KTs, paired | 37.769 | 61.789 | -24.020 | 0.61126 |
| A3s, all flops | 56.704 | 58.220 | -1.516 | 0.97396 |
| A3s, rainbow, ten or higher | 50.729 | 58.220 | -7.491 | 0.87133 |
| A3s, rainbow, nine or lower | 73.483 | 58.220 | +15.263 | 1.26216 |
| A3s, two-tone | 55.485 | 58.220 | -2.735 | 0.95302 |
| A3s, monotone | 54.226 | 58.220 | -3.994 | 0.93140 |
| A3s, paired | 62.231 | 58.220 | +4.011 | 1.06889 |
Does a shared suit matter?
The suit split reads 58.57% for A3s with a shared suit and 56.08% without one. A3s does better with a shared suit, by 2.49 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | A3s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 41.122 | 0.616 | 58.262 | 41.430 |
| No shared suit | 12 | 75.00 | 43.664 | 0.507 | 55.829 | 43.918 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A3s takes back $113.40 of it, which is $13.40 more than it put in, and KTs takes back $86.60, $13.40 less than it put in.
Think in thousands: about 565 of 1,000 go to A3s, about 430 go to KTs, and about 5 are chopped.
The same matchup from the other side
The reversed view, A3s against KTs, shows 56.70% for A3s and 43.30% for KTs. It is the same count, so it redirects here.
Keep exploring
KsTs against Ah3h 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session