KQo
59.22%
Wins 58.90%, ties 0.63%
76s
40.78%
Wins 40.47%, ties 0.63%
KQo against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 58.903 | 0.626 | 40.471 | 59.216 |
| 76s | 40.471 | 0.626 | 58.903 | 40.784 |
We compare an offsuit hand with a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 0.63% of the boards, and both equity figures count them as half a win each.
Ranked by equity against a random hand, KQo is number 23 of the 169 starting hands and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 48,413,000 | 515,000 | 33,263,000 |
| 76s | 33,263,000 | 515,000 | 48,413,000 |
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 | 1.452 | 1.698 | 2.471 | 0.689 |
| 76s | 0.689 | 2.471 | 1.698 | 1.452 |
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 (67.66%) and weakest on low rainbow flops (nine high or lower) (31.89%). Low rainbow flops (nine high or lower) favor 76s, the hand that is behind overall.
| Flop | Share of flops | KQo wins | Ties | 76s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.532 | 0.262 | 32.206 | 67.663 |
| Rainbow, nine or lower | 6.313 | 31.568 | 0.649 | 67.783 | 31.893 |
| Two-tone | 46.667 | 57.487 | 0.328 | 42.185 | 57.651 |
| Monotone | 5.212 | 56.510 | 2.441 | 41.049 | 57.731 |
| Paired | 17.091 | 61.116 | 1.407 | 37.477 | 61.819 |
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
Relative to a random opponent, KQo changes by -2.24 points (baseline 61.46%) and 76s by -4.59 points (baseline 45.37%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 59.216 | 61.456 | -2.240 | 0.96355 |
| KQo, rainbow, ten or higher | 67.663 | 61.456 | +6.207 | 1.10100 |
| KQo, rainbow, nine or lower | 31.893 | 61.456 | -29.563 | 0.51896 |
| KQo, two-tone | 57.651 | 61.456 | -3.805 | 0.93809 |
| KQo, monotone | 57.731 | 61.456 | -3.725 | 0.93939 |
| KQo, paired | 61.819 | 61.456 | +0.363 | 1.00591 |
| 76s, all flops | 40.784 | 45.372 | -4.588 | 0.89888 |
| 76s, rainbow, ten or higher | 32.337 | 45.372 | -13.035 | 0.71271 |
| 76s, rainbow, nine or lower | 68.107 | 45.372 | +22.735 | 1.50108 |
| 76s, two-tone | 42.349 | 45.372 | -3.023 | 0.93337 |
| 76s, monotone | 42.269 | 45.372 | -3.103 | 0.93161 |
| 76s, paired | 38.181 | 45.372 | -7.191 | 0.84151 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common KQo has 59.91% equity, and with none in common it has 58.52%. KQo does better with a shared suit, by 1.39 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 76s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.575 | 0.668 | 39.757 | 59.909 |
| No shared suit | 24 | 50.00 | 58.231 | 0.585 | 41.184 | 58.523 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $118.44 for KQo and $81.56 for 76s; the first side gains $18.44 per all-in and the second gives up $18.44.
In 1,000 deals of exactly this matchup, expect about 589 won outright by KQo, about 405 won outright by 76s and about 6 split.
The same matchup from the other side
The reversed view, 76s against KQo, shows 40.78% for 76s and 59.22% for KQo. It is the same count, so it redirects here.
Keep exploring
KsQh against 7d6d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of KQo against 76s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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