KQo
60.23%
Wins 59.89%, ties 0.68%
64s
39.77%
Wins 39.43%, ties 0.68%
KQo against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 59.892 | 0.680 | 39.428 | 60.232 |
| 64s | 39.428 | 0.680 | 59.892 | 39.768 |
One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
KQo is ahead, but 64s is far from dead: it takes 394 of every 1,000 deals outright. Ties are part of the picture: 0.68% of boards end in a split pot, and each side counts that as half a win.
KQo ranks number 23 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 49,226,000 | 559,000 | 32,406,000 |
| 64s | 32,406,000 | 559,000 | 49,226,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| KQo | 1.515 | 1.670 | 2.536 | 0.660 |
| 64s | 0.660 | 2.536 | 1.670 | 1.515 |
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
Break the boards down by their first three cards and KQo is strongest on rainbow flops topped by a ten or better (68.80%) and weakest on low rainbow flops (nine high or lower) (32.67%). KQo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | KQo wins | Ties | 64s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.664 | 0.273 | 31.063 | 68.800 |
| Rainbow, nine or lower | 6.313 | 32.200 | 0.938 | 66.862 | 32.669 |
| Two-tone | 46.667 | 58.436 | 0.387 | 41.177 | 58.630 |
| Monotone | 5.212 | 57.241 | 2.502 | 40.257 | 58.492 |
| Paired | 17.091 | 62.222 | 1.419 | 36.359 | 62.931 |
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 KQo 61.46% and 64s 41.33%. Against each other the change is -1.23 points for KQo and -1.56 for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 60.232 | 61.456 | -1.224 | 0.98008 |
| KQo, rainbow, ten or higher | 68.800 | 61.456 | +7.344 | 1.11950 |
| KQo, rainbow, nine or lower | 32.669 | 61.456 | -28.787 | 0.53158 |
| KQo, two-tone | 58.630 | 61.456 | -2.826 | 0.95402 |
| KQo, monotone | 58.492 | 61.456 | -2.964 | 0.95177 |
| KQo, paired | 62.931 | 61.456 | +1.475 | 1.02400 |
| 64s, all flops | 39.768 | 41.333 | -1.565 | 0.96214 |
| 64s, rainbow, ten or higher | 31.200 | 41.333 | -10.133 | 0.75484 |
| 64s, rainbow, nine or lower | 67.331 | 41.333 | +25.998 | 1.62899 |
| 64s, two-tone | 41.370 | 41.333 | +0.037 | 1.00090 |
| 64s, monotone | 41.508 | 41.333 | +0.175 | 1.00423 |
| 64s, paired | 37.069 | 41.333 | -4.264 | 0.89684 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KQo has 60.95%; looking only at deals where they do not, 59.52%. KQo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 64s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.584 | 0.721 | 38.695 | 60.945 |
| No shared suit | 24 | 50.00 | 59.200 | 0.640 | 40.160 | 59.520 |
How often this matchup comes up
Counting specific cards, KQo against 64s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KQo takes back $120.46 of it, which is $20.46 more than it put in, and 64s takes back $79.54, $20.46 less than it put in.
Over a long run, 1,000 deals split into about 599 for KQo, 394 for 64s and 7 tied.
The same matchup from the other side
The reversed view, 64s against KQo, shows 39.77% for 64s and 60.23% for KQo. It is the same count, so it redirects here.
Keep exploring
Try KsQh against 6d4d 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
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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