ATo
70.10%
Wins 69.13%, ties 1.92%
KTs
29.90%
Wins 28.95%, ties 1.92%
ATo against KTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 69.134 | 1.924 | 28.942 | 70.096 |
| KTs | 28.942 | 1.924 | 69.134 | 29.904 |
ATo, an offsuit hand, plays KTs, a suited hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
ATo is well ahead, and KTs needs a specific kind of board to catch up. Ties are part of the picture: 1.92% of boards end in a split pot, and each side counts that as half a win.
By strength against a random hand, ATo holds place 19 of 169 and KTs holds place 22.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 42,616,000 | 1,186,000 | 17,841,000 |
| KTs | 17,841,000 | 1,186,000 | 42,616,000 |
Exact total: 36 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) |
|---|---|---|---|---|
| ATo | 2.344 | 1.446 | 3.455 | 0.427 |
| KTs | 0.427 | 3.455 | 1.446 | 2.344 |
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
Across the five flop textures ATo's equity moves by 17.37 points, from 65.29% on monotone flops to 82.66% on low rainbow flops (nine high or lower). ATo 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 | ATo wins | Ties | KTs wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 67.430 | 1.386 | 31.184 | 68.123 |
| Rainbow, nine or lower | 7.771 | 80.996 | 3.318 | 15.686 | 82.655 |
| Two-tone | 46.527 | 67.362 | 1.711 | 30.927 | 68.217 |
| Monotone | 5.192 | 63.706 | 3.158 | 33.136 | 65.285 |
| Paired | 17.333 | 72.480 | 2.217 | 25.303 | 73.588 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 62.72% for ATo and 61.79% for KTs. This opponent changes them by +7.38 and -31.89 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 70.096 | 62.722 | +7.374 | 1.11757 |
| ATo, rainbow, ten or higher | 68.123 | 62.722 | +5.401 | 1.08611 |
| ATo, rainbow, nine or lower | 82.655 | 62.722 | +19.933 | 1.31780 |
| ATo, two-tone | 68.217 | 62.722 | +5.495 | 1.08761 |
| ATo, monotone | 65.285 | 62.722 | +2.563 | 1.04086 |
| ATo, paired | 73.588 | 62.722 | +10.866 | 1.17324 |
| KTs, all flops | 29.904 | 61.789 | -31.885 | 0.48397 |
| KTs, rainbow, ten or higher | 31.877 | 61.789 | -29.912 | 0.51590 |
| KTs, rainbow, nine or lower | 17.345 | 61.789 | -44.444 | 0.28071 |
| KTs, two-tone | 31.783 | 61.789 | -30.006 | 0.51438 |
| KTs, monotone | 34.715 | 61.789 | -27.074 | 0.56183 |
| KTs, paired | 26.412 | 61.789 | -35.377 | 0.42745 |
Does a shared suit matter?
The suit split reads 71.16% for ATo with a shared suit and 69.56% without one. ATo does better with a shared suit, by 1.60 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | KTs wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.162 | 2.001 | 27.837 | 71.163 |
| No shared suit | 24 | 66.67 | 68.620 | 1.885 | 29.495 | 69.563 |
How often this matchup comes up
Counting specific cards, ATo against KTs appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says ATo gets $140.20 of it on average and KTs gets $59.80.
In 1,000 deals of exactly this matchup, expect about 691 won outright by ATo, about 290 won outright by KTs and about 19 split.
The same matchup from the other side
Read it from the other side: KTs against ATo is the same matchup with the numbers swapped, so KTs holds 29.90% and ATo holds 70.10%. That address sends you back to this page.
Keep exploring
Try AsTh 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
Each figure is a complete count over boards. Take the 36 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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