KQo
60.74%
Wins 60.42%, ties 0.65%
87s
39.26%
Wins 38.93%, ties 0.65%
KQo against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 60.421 | 0.645 | 38.934 | 60.743 |
| 87s | 38.934 | 0.645 | 60.421 | 39.257 |
KQo, an offsuit hand, plays 87s, a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 0.65% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, KQo is number 23 and 87s is number 100 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 49,660,000 | 530,000 | 32,000,000 |
| 87s | 32,000,000 | 530,000 | 49,660,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| KQo | 1.547 | 1.655 | 2.568 | 0.646 |
| 87s | 0.646 | 2.568 | 1.655 | 1.547 |
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
The flop changes the picture. KQo does best on rainbow flops topped by a ten or better, at 69.13%, and worst on low rainbow flops (nine high or lower), at 35.04%. On low rainbow flops (nine high or lower) the numbers flip and 87s is the one ahead.
| Flop | Share of flops | KQo wins | Ties | 87s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.973 | 0.314 | 30.713 | 69.130 |
| Rainbow, nine or lower | 6.313 | 34.738 | 0.593 | 64.669 | 35.035 |
| Two-tone | 46.667 | 59.108 | 0.350 | 40.542 | 59.283 |
| Monotone | 5.212 | 57.639 | 2.444 | 39.917 | 58.861 |
| Paired | 17.091 | 61.972 | 1.399 | 36.629 | 62.672 |
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
How much does the opponent matter? Compared with its random-hand 61.46%, KQo changes by -0.72 points, and 87s, from 47.94%, by -8.68.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 60.743 | 61.456 | -0.713 | 0.98840 |
| KQo, rainbow, ten or higher | 69.130 | 61.456 | +7.674 | 1.12487 |
| KQo, rainbow, nine or lower | 35.035 | 61.456 | -26.421 | 0.57008 |
| KQo, two-tone | 59.283 | 61.456 | -2.173 | 0.96464 |
| KQo, monotone | 58.861 | 61.456 | -2.595 | 0.95777 |
| KQo, paired | 62.672 | 61.456 | +1.216 | 1.01979 |
| 87s, all flops | 39.257 | 47.936 | -8.679 | 0.81895 |
| 87s, rainbow, ten or higher | 30.870 | 47.936 | -17.066 | 0.64398 |
| 87s, rainbow, nine or lower | 64.965 | 47.936 | +17.029 | 1.35524 |
| 87s, two-tone | 40.717 | 47.936 | -7.219 | 0.84940 |
| 87s, monotone | 41.139 | 47.936 | -6.797 | 0.85821 |
| 87s, paired | 37.328 | 47.936 | -10.608 | 0.77870 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and KQo holds 61.46%. In 24 they do not, and it holds 60.03%. KQo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 87s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.116 | 0.686 | 38.198 | 61.459 |
| No shared suit | 24 | 50.00 | 59.725 | 0.604 | 39.671 | 60.027 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KQo's average share is $121.48 (a gain of $21.48) and 87s' is $78.52 (a loss of $21.48).
Out of 1,000 deals you should see around 604 outright wins for KQo, 389 for 87s, and 7 split pots.
The same matchup from the other side
87s against KQo adds nothing new: it is 39.26% for 87s and 60.74% for KQo, the same figures reversed.
Keep exploring
KsQh against 8d7d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of KQo against 87s, 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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