KQs
50.01%
Wins 49.68%, ties 0.67%
44
49.99%
Wins 49.65%, ties 0.67%
KQs against 44: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 49.675 | 0.672 | 49.653 | 50.011 |
| 44 | 49.653 | 0.672 | 49.675 | 49.989 |
The matchup pits a suited hand against a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
The split is even enough that who is called the favorite depends on the fourth decimal. Of every 100 boards, about 0.67 are split pots, and the equity figures already include them.
By strength against a random hand, KQs holds place 16 of 169 and 44 holds place 48.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 20,414,000 | 276,000 | 20,405,000 |
| 44 | 20,405,000 | 276,000 | 20,414,000 |
24 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 | 1.000 | 2.013 | 2.014 | 1.000 |
| 44 | 1.000 | 2.014 | 2.013 | 1.000 |
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
If you know the kind of flop that came, the numbers shift: KQs holds 56.03% on rainbow flops topped by a ten or better and 22.62% on low rainbow flops (nine high or lower). 44 takes over on low rainbow flops (nine high or lower), monotone flops and paired flops, so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | KQs wins | Ties | 44 wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 55.892 | 0.276 | 43.832 | 56.030 |
| Rainbow, nine or lower | 6.314 | 22.094 | 1.050 | 76.856 | 22.619 |
| Two-tone | 46.545 | 51.119 | 0.402 | 48.479 | 51.320 |
| Monotone | 5.212 | 48.533 | 2.882 | 48.585 | 49.974 |
| Paired | 17.334 | 47.365 | 1.158 | 51.477 | 47.944 |
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
A random hand would give KQs 63.40% and 44 57.02%. Against each other the change is -13.39 points for KQs and -7.03 for 44.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 50.011 | 63.400 | -13.389 | 0.78882 |
| KQs, rainbow, ten or higher | 56.030 | 63.400 | -7.370 | 0.88375 |
| KQs, rainbow, nine or lower | 22.619 | 63.400 | -40.781 | 0.35677 |
| KQs, two-tone | 51.320 | 63.400 | -12.080 | 0.80946 |
| KQs, monotone | 49.974 | 63.400 | -13.426 | 0.78823 |
| KQs, paired | 47.944 | 63.400 | -15.456 | 0.75621 |
| 44, all flops | 49.989 | 57.023 | -7.034 | 0.87665 |
| 44, rainbow, ten or higher | 43.970 | 57.023 | -13.053 | 0.77109 |
| 44, rainbow, nine or lower | 77.381 | 57.023 | +20.358 | 1.35701 |
| 44, two-tone | 48.680 | 57.023 | -8.343 | 0.85369 |
| 44, monotone | 50.026 | 57.023 | -6.997 | 0.87730 |
| 44, paired | 52.056 | 57.023 | -4.967 | 0.91289 |
Does a shared suit matter?
When the hands share a suit, KQs holds 49.84%; when they do not, it holds 50.19%. KQs does better with no shared suit, by 0.35 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | 44 wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.480 | 0.711 | 49.809 | 49.836 |
| No shared suit | 12 | 50.00 | 49.869 | 0.634 | 49.497 | 50.186 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are KQs in one seat and 44 in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
With $100 from each side, the $200 pot is split on average as $100.02 for KQs and $99.98 for 44; the first side gains $0.02 per all-in and the second gives up $0.02.
Out of 1,000 deals you should see around 497 outright wins for KQs, 496 for 44, and 7 split pots.
The same matchup from the other side
44 versus KQs is this same page seen from the other hand: 49.99% for 44, 50.01% for KQs.
Keep exploring
KsQs against 4h4d 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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