KTs
62.12%
Wins 61.79%, ties 0.67%
87s
37.88%
Wins 37.54%, ties 0.67%
KTs against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 61.788 | 0.668 | 37.544 | 62.122 |
| 87s | 37.544 | 0.668 | 61.788 | 37.878 |
The matchup is suited hands on both sides, KTs against 87s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 24.24 point lead is real, and 87s still takes about 375 of every 1,000 deals outright. The tie share is 0.67%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts KTs at 22 and 87s at 100 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 16,928,000 | 183,000 | 10,286,000 |
| 87s | 10,286,000 | 183,000 | 16,928,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTs | 1.640 | 1.618 | 2.664 | 0.610 |
| 87s | 0.610 | 2.664 | 1.618 | 1.640 |
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
The flop changes the picture. KTs does best on rainbow flops topped by a ten or better, at 68.56%, and worst on low rainbow flops (nine high or lower), at 38.09%. The lead reverses on low rainbow flops (nine high or lower): there 87s is the favorite even though KTs is ahead overall.
| Flop | Share of flops | KTs wins | Ties | 87s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.396 | 0.329 | 31.275 | 68.560 |
| Rainbow, nine or lower | 6.314 | 37.903 | 0.381 | 61.716 | 38.094 |
| Two-tone | 46.727 | 61.295 | 0.314 | 38.391 | 61.452 |
| Monotone | 5.273 | 57.659 | 3.454 | 38.887 | 59.386 |
| Paired | 17.091 | 63.725 | 1.370 | 34.905 | 64.410 |
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
Each hand has a baseline against a random hand: 61.79% for KTs, 47.94% for 87s. Here the change is +0.33 and -10.06 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 62.122 | 61.789 | +0.333 | 1.00539 |
| KTs, rainbow, ten or higher | 68.560 | 61.789 | +6.771 | 1.10958 |
| KTs, rainbow, nine or lower | 38.094 | 61.789 | -23.695 | 0.61652 |
| KTs, two-tone | 61.452 | 61.789 | -0.337 | 0.99455 |
| KTs, monotone | 59.386 | 61.789 | -2.403 | 0.96111 |
| KTs, paired | 64.410 | 61.789 | +2.621 | 1.04242 |
| 87s, all flops | 37.878 | 47.936 | -10.058 | 0.79018 |
| 87s, rainbow, ten or higher | 31.440 | 47.936 | -16.496 | 0.65587 |
| 87s, rainbow, nine or lower | 61.906 | 47.936 | +13.970 | 1.29143 |
| 87s, two-tone | 38.548 | 47.936 | -9.388 | 0.80416 |
| 87s, monotone | 40.614 | 47.936 | -7.322 | 0.84725 |
| 87s, paired | 35.590 | 47.936 | -12.346 | 0.74245 |
Does a shared suit matter?
The suit split reads 64.39% for KTs with a shared suit and 61.37% without one. KTs does better with a shared suit, by 3.02 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | 87s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.016 | 0.754 | 35.230 | 64.393 |
| No shared suit | 12 | 75.00 | 61.045 | 0.640 | 38.315 | 61.365 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are KTs against 87s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KTs averages $124.24 from the $200, up $24.24; 87s averages $75.76, down $24.24.
Out of 1,000 deals you should see around 618 outright wins for KTs, 375 for 87s, and 7 split pots.
The same matchup from the other side
Read it from the other side: 87s against KTs is the same matchup with the numbers swapped, so 87s holds 37.88% and KTs holds 62.12%. That address sends you back to this page.
Keep exploring
The calculator link fills in KsTs against 8h7h, 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
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.
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