KQs
62.99%
Wins 62.65%, ties 0.67%
86s
37.01%
Wins 36.68%, ties 0.67%
KQs against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 62.651 | 0.669 | 36.680 | 62.985 |
| 86s | 36.680 | 0.669 | 62.651 | 37.015 |
The matchup is suited hands on both sides, KQs against 86s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
KQs is ahead, but 86s is far from dead: it takes 367 of every 1,000 deals outright. Ties are 0.67% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, KQs is number 16 of the 169 starting hands and 86s is number 110.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 17,164,000 | 183,000 | 10,049,000 |
| 86s | 10,049,000 | 183,000 | 17,164,000 |
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 | 1.702 | 1.596 | 2.726 | 0.588 |
| 86s | 0.588 | 2.726 | 1.596 | 1.702 |
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 KQs is strongest on rainbow flops topped by a ten or better (70.23%) and weakest on low rainbow flops (nine high or lower) (36.47%). Watch for low rainbow flops (nine high or lower): on those flops 86s holds the better equity.
| Flop | Share of flops | KQs wins | Ties | 86s wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 70.102 | 0.254 | 29.644 | 70.229 |
| Rainbow, nine or lower | 6.314 | 36.128 | 0.684 | 63.188 | 36.470 |
| Two-tone | 46.727 | 62.231 | 0.317 | 37.452 | 62.390 |
| Monotone | 5.273 | 58.489 | 3.459 | 38.052 | 60.219 |
| Paired | 17.091 | 64.156 | 1.366 | 34.478 | 64.839 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -0.41 points for KQs, from 63.40%, and -9.23 for 86s, from 46.24%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 62.985 | 63.400 | -0.415 | 0.99345 |
| KQs, rainbow, ten or higher | 70.229 | 63.400 | +6.829 | 1.10771 |
| KQs, rainbow, nine or lower | 36.470 | 63.400 | -26.930 | 0.57524 |
| KQs, two-tone | 62.390 | 63.400 | -1.010 | 0.98407 |
| KQs, monotone | 60.219 | 63.400 | -3.181 | 0.94983 |
| KQs, paired | 64.839 | 63.400 | +1.439 | 1.02270 |
| 86s, all flops | 37.015 | 46.243 | -9.228 | 0.80045 |
| 86s, rainbow, ten or higher | 29.771 | 46.243 | -16.472 | 0.64379 |
| 86s, rainbow, nine or lower | 63.530 | 46.243 | +17.287 | 1.37383 |
| 86s, two-tone | 37.610 | 46.243 | -8.633 | 0.81331 |
| 86s, monotone | 39.781 | 46.243 | -6.462 | 0.86026 |
| 86s, paired | 35.161 | 46.243 | -11.082 | 0.76035 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KQs has 65.30%; looking only at deals where they do not, 62.22%. KQs does better with a shared suit, by 3.08 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | 86s wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.920 | 0.757 | 34.323 | 65.298 |
| No shared suit | 12 | 75.00 | 61.895 | 0.640 | 37.465 | 62.215 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KQs takes back $125.98 of it, which is $25.98 more than it put in, and 86s takes back $74.02, $25.98 less than it put in.
Over a long run, 1,000 deals split into about 626 for KQs, 367 for 86s and 7 tied.
The same matchup from the other side
86s against KQs adds nothing new: it is 37.01% for 86s and 62.99% for KQs, the same figures reversed.
Keep exploring
KsQs against 8h6h 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 16 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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