KQs
62.71%
Wins 62.36%, ties 0.71%
75s
37.29%
Wins 36.93%, ties 0.71%
KQs against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 62.355 | 0.710 | 36.935 | 62.710 |
| 75s | 36.935 | 0.710 | 62.355 | 37.290 |
This is a contest between two suited hands, KQs and 75s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 0.71% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, KQs holds place 16 of 169 and 75s holds place 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 17,083,000 | 195,000 | 10,119,000 |
| 75s | 10,119,000 | 195,000 | 17,083,000 |
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) |
|---|---|---|---|---|
| KQs | 1.682 | 1.604 | 2.707 | 0.595 |
| 75s | 0.595 | 2.707 | 1.604 | 1.682 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
The flop changes the picture. KQs does best on rainbow flops topped by a ten or better, at 70.10%, and worst on low rainbow flops (nine high or lower), at 35.07%. Watch for low rainbow flops (nine high or lower): on those flops 75s holds the better equity.
| Flop | Share of flops | KQs wins | Ties | 75s wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.951 | 0.302 | 29.747 | 70.102 |
| Rainbow, nine or lower | 6.314 | 34.695 | 0.745 | 64.560 | 35.067 |
| Two-tone | 46.727 | 61.880 | 0.361 | 37.759 | 62.060 |
| Monotone | 5.273 | 58.246 | 3.504 | 38.250 | 59.998 |
| Paired | 17.091 | 64.209 | 1.374 | 34.417 | 64.896 |
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
The table below sets each hand against its own random-hand baseline: a change of -0.69 points for KQs, from 63.40%, and -6.39 for 75s, from 43.68%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 62.710 | 63.400 | -0.690 | 0.98912 |
| KQs, rainbow, ten or higher | 70.102 | 63.400 | +6.702 | 1.10571 |
| KQs, rainbow, nine or lower | 35.067 | 63.400 | -28.333 | 0.55311 |
| KQs, two-tone | 62.060 | 63.400 | -1.340 | 0.97886 |
| KQs, monotone | 59.998 | 63.400 | -3.402 | 0.94634 |
| KQs, paired | 64.896 | 63.400 | +1.496 | 1.02360 |
| 75s, all flops | 37.290 | 43.676 | -6.386 | 0.85379 |
| 75s, rainbow, ten or higher | 29.898 | 43.676 | -13.778 | 0.68454 |
| 75s, rainbow, nine or lower | 64.933 | 43.676 | +21.257 | 1.48670 |
| 75s, two-tone | 37.940 | 43.676 | -5.736 | 0.86867 |
| 75s, monotone | 40.002 | 43.676 | -3.674 | 0.91588 |
| 75s, paired | 35.104 | 43.676 | -8.572 | 0.80374 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common KQs has 64.99% equity, and with none in common it has 61.95%. KQs does better with a shared suit, by 3.04 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | 75s wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.593 | 0.801 | 34.606 | 64.994 |
| No shared suit | 12 | 75.00 | 61.609 | 0.679 | 37.712 | 61.949 |
How often this matchup comes up
KQs against 75s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Put $100 each into a $200 pot and deal every board once: KQs averages $125.42 back, ahead of its $100 by $25.42, while 75s averages $74.58, short of its $100 by $25.42.
Over a long run, 1,000 deals split into about 624 for KQs, 369 for 75s and 7 tied.
The same matchup from the other side
75s against KQs adds nothing new: it is 37.29% for 75s and 62.71% for KQs, the same figures reversed.
Keep exploring
Try KsQs against 7h5h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
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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