KTs
43.05%
Wins 42.82%, ties 0.48%
A7s
56.95%
Wins 56.70%, ties 0.48%
KTs against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 42.816 | 0.475 | 56.709 | 43.053 |
| A7s | 56.709 | 0.475 | 42.816 | 56.947 |
The matchup is suited hands on both sides, KTs against A7s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A7s is ahead, but KTs is far from dead: it takes 428 of every 1,000 deals outright. 0.48% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, KTs is number 22 of the 169 starting hands and A7s is number 24.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 11,730,000 | 130,000 | 15,536,000 |
| A7s | 15,536,000 | 130,000 | 11,730,000 |
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 | 0.756 | 2.336 | 1.763 | 1.323 |
| A7s | 1.323 | 1.763 | 2.336 | 0.756 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures A7s' equity moves by 23.06 points, from 50.98% on rainbow flops topped by a ten or better to 74.04% on low rainbow flops (nine high or lower). A7s 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 | A7s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 48.941 | 0.151 | 50.908 | 49.017 |
| Rainbow, nine or lower | 7.042 | 25.648 | 0.624 | 73.728 | 25.960 |
| Two-tone | 46.727 | 44.139 | 0.233 | 55.628 | 44.256 |
| Monotone | 5.273 | 43.928 | 3.397 | 52.675 | 45.626 |
| Paired | 17.091 | 37.374 | 0.624 | 62.002 | 37.686 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
A random hand would give KTs 61.79% and A7s 60.98%. Against each other the change is -18.74 points for KTs and -4.03 for A7s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 43.053 | 61.789 | -18.736 | 0.69677 |
| KTs, rainbow, ten or higher | 49.017 | 61.789 | -12.772 | 0.79330 |
| KTs, rainbow, nine or lower | 25.960 | 61.789 | -35.829 | 0.42014 |
| KTs, two-tone | 44.256 | 61.789 | -17.533 | 0.71624 |
| KTs, monotone | 45.626 | 61.789 | -16.163 | 0.73842 |
| KTs, paired | 37.686 | 61.789 | -24.103 | 0.60991 |
| A7s, all flops | 56.947 | 60.984 | -4.037 | 0.93380 |
| A7s, rainbow, ten or higher | 50.983 | 60.984 | -10.001 | 0.83601 |
| A7s, rainbow, nine or lower | 74.040 | 60.984 | +13.056 | 1.21409 |
| A7s, two-tone | 55.744 | 60.984 | -5.240 | 0.91408 |
| A7s, monotone | 54.374 | 60.984 | -6.610 | 0.89161 |
| A7s, paired | 62.314 | 60.984 | +1.330 | 1.02181 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A7s at 58.83%) and 12 do not (56.32%). A7s does better with a shared suit, by 2.51 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | A7s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 40.891 | 0.550 | 58.559 | 41.166 |
| No shared suit | 12 | 75.00 | 43.457 | 0.450 | 56.093 | 43.682 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A7s' average share is $113.90 (a gain of $13.90) and KTs' is $86.10 (a loss of $13.90).
Over a long run, 1,000 deals split into about 567 for A7s, 428 for KTs and 5 tied.
The same matchup from the other side
The mirror image, A7s against KTs, is 56.95% to 43.05%, and its address redirects to this page.
Keep exploring
The calculator link fills in KsTs against Ah7h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of KTs against A7s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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