KTo
59.62%
Wins 59.30%, ties 0.63%
87s
40.38%
Wins 40.07%, ties 0.63%
KTo against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 59.301 | 0.631 | 40.068 | 59.616 |
| 87s | 40.068 | 0.631 | 59.301 | 40.384 |
The matchup pits an offsuit hand against a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
KTo is ahead, but 87s is far from dead: it takes 401 of every 1,000 deals outright. Split pots make up 0.63% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, KTo is number 33 and 87s is number 100.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 48,740,000 | 519,000 | 32,932,000 |
| 87s | 32,932,000 | 519,000 | 48,740,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| KTo | 1.476 | 1.686 | 2.496 | 0.677 |
| 87s | 0.677 | 2.496 | 1.686 | 1.476 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Break the boards down by their first three cards and KTo is strongest on rainbow flops topped by a ten or better (67.23%) and weakest on low rainbow flops (nine high or lower) (35.67%). The lead reverses on low rainbow flops (nine high or lower): there 87s is the favorite even though KTo is ahead overall.
| Flop | Share of flops | KTo wins | Ties | 87s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.057 | 0.340 | 32.603 | 67.227 |
| Rainbow, nine or lower | 6.313 | 35.472 | 0.396 | 64.132 | 35.670 |
| Two-tone | 46.667 | 57.889 | 0.331 | 41.780 | 58.055 |
| Monotone | 5.212 | 56.788 | 2.430 | 40.782 | 58.003 |
| Paired | 17.091 | 61.510 | 1.407 | 37.083 | 62.214 |
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 KTo 59.74% and 87s 47.94%. Against each other the change is -0.12 points for KTo and -7.56 for 87s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 59.616 | 59.739 | -0.123 | 0.99794 |
| KTo, rainbow, ten or higher | 67.227 | 59.739 | +7.488 | 1.12535 |
| KTo, rainbow, nine or lower | 35.670 | 59.739 | -24.069 | 0.59710 |
| KTo, two-tone | 58.055 | 59.739 | -1.684 | 0.97181 |
| KTo, monotone | 58.003 | 59.739 | -1.736 | 0.97094 |
| KTo, paired | 62.214 | 59.739 | +2.475 | 1.04143 |
| 87s, all flops | 40.384 | 47.936 | -7.552 | 0.84246 |
| 87s, rainbow, ten or higher | 32.773 | 47.936 | -15.163 | 0.68368 |
| 87s, rainbow, nine or lower | 64.330 | 47.936 | +16.394 | 1.34200 |
| 87s, two-tone | 41.945 | 47.936 | -5.991 | 0.87502 |
| 87s, monotone | 41.997 | 47.936 | -5.939 | 0.87611 |
| 87s, paired | 37.786 | 47.936 | -10.150 | 0.78826 |
Does a shared suit matter?
Does suit overlap move the numbers? KTo has 60.29% when the hands share a suit and 58.94% when they do not. KTo does better with a shared suit, by 1.35 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 87s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.953 | 0.672 | 39.375 | 60.289 |
| No shared suit | 24 | 50.00 | 58.650 | 0.589 | 40.761 | 58.944 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Put $100 each into a $200 pot and deal every board once: KTo averages $119.24 back, ahead of its $100 by $19.24, while 87s averages $80.76, short of its $100 by $19.24.
In 1,000 deals of exactly this matchup, expect about 593 won outright by KTo, about 401 won outright by 87s and about 6 split.
The same matchup from the other side
87s against KTo adds nothing new: it is 40.38% for 87s and 59.62% for KTo, the same figures reversed.
Keep exploring
Open the calculator with KsTh against 8d7d 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
Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
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