KQs
52.49%
Wins 7.16%, ties 90.67%
KQo
47.51%
Wins 2.17%, ties 90.67%
KQs against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 7.157 | 90.670 | 2.173 | 52.492 |
| KQo | 2.173 | 90.670 | 7.157 | 47.508 |
The matchup pits a suited hand against an offsuit hand. The two classes use the same two ranks and differ only in suits, so the suited hand is ahead mainly by making flushes.
KQs leads by less than 5 points of equity, so the result of any one deal is close to a toss-up. Ties are part of the picture: 90.67% of boards end in a split pot, and each side counts that as half a win.
KQs ranks number 16 of 169 starting hands, and KQo ranks number 23, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 2,941,000 | 37,261,000 | 893,000 |
| KQo | 893,000 | 37,261,000 | 2,941,000 |
The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| KQs | 1.105 | 13.972 | 46.019 | 0.905 |
| KQo | 0.905 | 46.019 | 13.972 | 1.105 |
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
KQs prefers two-tone flops, where it holds 53.28%, and likes monotone flops least, where it holds 50.29%. KQs stays ahead on all five textures, and the gap between its best and worst is only 2.99 points, so the shape of the flop hardly changes who is favored.
| Flop | Share of flops | KQs wins | Ties | KQo wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 3.265 | 96.735 | 0.000 | 51.633 |
| Rainbow, nine or lower | 7.771 | 3.409 | 96.591 | 0.000 | 51.705 |
| Two-tone | 46.363 | 8.829 | 88.901 | 2.270 | 53.280 |
| Monotone | 5.152 | 18.512 | 63.546 | 17.942 | 50.285 |
| Paired | 17.576 | 6.201 | 92.681 | 1.118 | 52.541 |
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
Compared with a random opponent, this matchup shifts KQs from 63.40% by -10.91 points and KQo from 61.46% by -13.95 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 52.492 | 63.400 | -10.908 | 0.82795 |
| KQs, rainbow, ten or higher | 51.633 | 63.400 | -11.767 | 0.81440 |
| KQs, rainbow, nine or lower | 51.705 | 63.400 | -11.695 | 0.81554 |
| KQs, two-tone | 53.280 | 63.400 | -10.120 | 0.84038 |
| KQs, monotone | 50.285 | 63.400 | -13.115 | 0.79314 |
| KQs, paired | 52.541 | 63.400 | -10.859 | 0.82872 |
| KQo, all flops | 47.508 | 61.456 | -13.948 | 0.77304 |
| KQo, rainbow, ten or higher | 48.367 | 61.456 | -13.089 | 0.78702 |
| KQo, rainbow, nine or lower | 48.295 | 61.456 | -13.161 | 0.78585 |
| KQo, two-tone | 46.720 | 61.456 | -14.736 | 0.76022 |
| KQo, monotone | 49.715 | 61.456 | -11.741 | 0.80895 |
| KQo, paired | 47.459 | 61.456 | -13.997 | 0.77224 |
Does a shared suit matter?
Every legal deal of KQs against KQo leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | KQs wins | Ties | KQo wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 24 | 100.00 | 7.157 | 90.670 | 2.173 | 52.492 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are KQs against KQo, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: KQs averages $104.98 back, ahead of its $100 by $4.98, while KQo averages $95.02, short of its $100 by $4.98.
Out of 1,000 deals you should see around 71 outright wins for KQs, 22 for KQo, and 907 split pots.
The same matchup from the other side
KQo against KQs adds nothing new: it is 47.51% for KQo and 52.49% for KQs, the same figures reversed.
Keep exploring
KsQs against KhQd 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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