KQs
62.78%
Wins 62.42%, ties 0.71%
64s
37.22%
Wins 36.87%, ties 0.71%
KQs against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 62.420 | 0.713 | 36.867 | 62.776 |
| 64s | 36.867 | 0.713 | 62.420 | 37.224 |
Each side holds one of the suited hands: KQs and 64s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.71% of the outcomes here; each tied board gives both hands half the pot.
The hand ranking puts KQs at 16 and 64s at 138 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 17,101,000 | 195,000 | 10,100,000 |
| 64s | 10,100,000 | 195,000 | 17,101,000 |
The board total is exact, 16 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) |
|---|---|---|---|---|
| KQs | 1.686 | 1.602 | 2.712 | 0.593 |
| 64s | 0.593 | 2.712 | 1.602 | 1.686 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Split by what the flop looks like, KQs peaks at 70.11% on rainbow flops topped by a ten or better and bottoms out at 35.22% on low rainbow flops (nine high or lower). The lead reverses on low rainbow flops (nine high or lower): there 64s is the favorite even though KQs is ahead overall.
| Flop | Share of flops | KQs wins | Ties | 64s wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.974 | 0.264 | 29.762 | 70.106 |
| Rainbow, nine or lower | 6.314 | 34.767 | 0.895 | 64.338 | 35.215 |
| Two-tone | 46.727 | 61.911 | 0.361 | 37.728 | 62.092 |
| Monotone | 5.273 | 58.271 | 3.532 | 38.197 | 60.037 |
| Paired | 17.091 | 64.437 | 1.382 | 34.181 | 65.128 |
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
A random hand would give KQs 63.40% and 64s 41.33%. Against each other the change is -0.62 points for KQs and -4.11 for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 62.776 | 63.400 | -0.624 | 0.99016 |
| KQs, rainbow, ten or higher | 70.106 | 63.400 | +6.706 | 1.10577 |
| KQs, rainbow, nine or lower | 35.215 | 63.400 | -28.185 | 0.55544 |
| KQs, two-tone | 62.092 | 63.400 | -1.308 | 0.97937 |
| KQs, monotone | 60.037 | 63.400 | -3.363 | 0.94696 |
| KQs, paired | 65.128 | 63.400 | +1.728 | 1.02726 |
| 64s, all flops | 37.224 | 41.333 | -4.109 | 0.90059 |
| 64s, rainbow, ten or higher | 29.894 | 41.333 | -11.439 | 0.72325 |
| 64s, rainbow, nine or lower | 64.785 | 41.333 | +23.452 | 1.56739 |
| 64s, two-tone | 37.908 | 41.333 | -3.425 | 0.91714 |
| 64s, monotone | 39.963 | 41.333 | -1.370 | 0.96685 |
| 64s, paired | 34.872 | 41.333 | -6.461 | 0.84368 |
Does a shared suit matter?
The suit split reads 65.06% for KQs with a shared suit and 62.01% without one. KQs does better with a shared suit, by 3.05 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | 64s wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.663 | 0.803 | 34.534 | 65.064 |
| No shared suit | 12 | 75.00 | 61.672 | 0.683 | 37.645 | 62.014 |
How often this matchup comes up
Counting specific cards, KQs against 64s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KQs averages $125.56 from the $200, up $25.56; 64s averages $74.44, down $25.56.
Over a long run, 1,000 deals split into about 624 for KQs, 369 for 64s and 7 tied.
The same matchup from the other side
64s versus KQs is this same page seen from the other hand: 37.22% for 64s, 62.78% for KQs.
Keep exploring
KsQs against 6h4h 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
Nothing here is simulated. The 16 deals of KQs against 64s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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