KTs
43.21%
Wins 42.95%, ties 0.52%
A4s
56.79%
Wins 56.53%, ties 0.52%
KTs against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 42.952 | 0.523 | 56.525 | 43.213 |
| A4s | 56.525 | 0.523 | 42.952 | 56.787 |
The matchup is suited hands on both sides, KTs against A4s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 13.58 point lead is real, and KTs still takes about 430 of every 1,000 deals outright. The tie share is 0.52%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts KTs at 22 and A4s at 35 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 11,768,000 | 143,000 | 15,486,000 |
| A4s | 15,486,000 | 143,000 | 11,768,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| KTs | 0.761 | 2.328 | 1.769 | 1.314 |
| A4s | 1.314 | 1.769 | 2.328 | 0.761 |
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
A4s prefers low rainbow flops (nine high or lower), where it holds 73.70%, and likes rainbow flops topped by a ten or better least, where it holds 50.81%. A4s 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 | A4s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 49.111 | 0.163 | 50.726 | 49.193 |
| Rainbow, nine or lower | 7.042 | 25.874 | 0.851 | 73.275 | 26.300 |
| Two-tone | 46.727 | 44.276 | 0.287 | 55.437 | 44.419 |
| Monotone | 5.273 | 43.986 | 3.437 | 52.577 | 45.705 |
| Paired | 17.091 | 37.448 | 0.637 | 61.915 | 37.767 |
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
A random hand would give KTs 61.79% and A4s 59.03%. Against each other the change is -18.58 points for KTs and -2.24 for A4s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 43.213 | 61.789 | -18.576 | 0.69936 |
| KTs, rainbow, ten or higher | 49.193 | 61.789 | -12.596 | 0.79614 |
| KTs, rainbow, nine or lower | 26.300 | 61.789 | -35.489 | 0.42564 |
| KTs, two-tone | 44.419 | 61.789 | -17.370 | 0.71888 |
| KTs, monotone | 45.705 | 61.789 | -16.084 | 0.73969 |
| KTs, paired | 37.767 | 61.789 | -24.022 | 0.61123 |
| A4s, all flops | 56.787 | 59.034 | -2.247 | 0.96194 |
| A4s, rainbow, ten or higher | 50.807 | 59.034 | -8.227 | 0.86064 |
| A4s, rainbow, nine or lower | 73.700 | 59.034 | +14.666 | 1.24843 |
| A4s, two-tone | 55.581 | 59.034 | -3.453 | 0.94151 |
| A4s, monotone | 54.295 | 59.034 | -4.739 | 0.91972 |
| A4s, paired | 62.233 | 59.034 | +3.199 | 1.05419 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A4s has 58.66%; looking only at deals where they do not, 56.16%. A4s does better with a shared suit, by 2.50 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | A4s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 41.038 | 0.604 | 58.358 | 41.340 |
| No shared suit | 12 | 75.00 | 43.590 | 0.496 | 55.914 | 43.838 |
How often this matchup comes up
KTs against A4s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A4s' average share is $113.58 (a gain of $13.58) and KTs' is $86.42 (a loss of $13.58).
Over a long run, 1,000 deals split into about 565 for A4s, 430 for KTs and 5 tied.
The same matchup from the other side
The reversed view, A4s against KTs, shows 56.79% for A4s and 43.21% for KTs. It is the same count, so it redirects here.
Keep exploring
Open the calculator with KsTs against Ah4h 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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