KQo
58.93%
Wins 58.60%, ties 0.67%
65s
41.07%
Wins 40.73%, ties 0.67%
KQo against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 58.597 | 0.670 | 40.733 | 58.932 |
| 65s | 40.733 | 0.670 | 58.597 | 41.068 |
KQo and 65s are an offsuit hand and a suited hand, in that order. 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. Ties are part of the picture: 0.67% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, KQo is number 23 and 65s is number 128.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 48,161,000 | 551,000 | 33,479,000 |
| 65s | 33,479,000 | 551,000 | 48,161,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KQo | 1.435 | 1.707 | 2.455 | 0.697 |
| 65s | 0.697 | 2.455 | 1.707 | 1.435 |
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
If you know the kind of flop that came, the numbers shift: KQo holds 67.72% on rainbow flops topped by a ten or better and 29.73% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 65s holds the better equity.
| Flop | Share of flops | KQo wins | Ties | 65s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.583 | 0.272 | 32.145 | 67.719 |
| Rainbow, nine or lower | 6.313 | 29.299 | 0.869 | 69.832 | 29.734 |
| Two-tone | 46.667 | 57.111 | 0.377 | 42.512 | 57.300 |
| Monotone | 5.212 | 56.261 | 2.494 | 41.245 | 57.508 |
| Paired | 17.091 | 61.195 | 1.415 | 37.390 | 61.902 |
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
Relative to a random opponent, KQo changes by -2.53 points (baseline 61.46%) and 65s by -2.06 points (baseline 43.13%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 58.932 | 61.456 | -2.524 | 0.95893 |
| KQo, rainbow, ten or higher | 67.719 | 61.456 | +6.263 | 1.10191 |
| KQo, rainbow, nine or lower | 29.734 | 61.456 | -31.722 | 0.48383 |
| KQo, two-tone | 57.300 | 61.456 | -4.156 | 0.93237 |
| KQo, monotone | 57.508 | 61.456 | -3.948 | 0.93576 |
| KQo, paired | 61.902 | 61.456 | +0.446 | 1.00726 |
| 65s, all flops | 41.068 | 43.133 | -2.065 | 0.95212 |
| 65s, rainbow, ten or higher | 32.281 | 43.133 | -10.852 | 0.74841 |
| 65s, rainbow, nine or lower | 70.266 | 43.133 | +27.133 | 1.62905 |
| 65s, two-tone | 42.700 | 43.133 | -0.433 | 0.98996 |
| 65s, monotone | 42.492 | 43.133 | -0.641 | 0.98514 |
| 65s, paired | 38.098 | 43.133 | -5.035 | 0.88327 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KQo has 59.62%; looking only at deals where they do not, 58.24%. KQo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 65s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.265 | 0.710 | 40.025 | 59.620 |
| No shared suit | 24 | 50.00 | 57.930 | 0.629 | 41.441 | 58.244 |
How often this matchup comes up
Counting specific cards, KQo against 65s 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 $117.86 of it, which is $17.86 more than it put in, and 65s takes back $82.14, $17.86 less than it put in.
Over a long run, 1,000 deals split into about 586 for KQo, 407 for 65s and 7 tied.
The same matchup from the other side
65s against KQo adds nothing new: it is 41.07% for 65s and 58.93% for KQo, the same figures reversed.
Keep exploring
Open the calculator with KsQh against 6d5d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one 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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