KJs
62.10%
Wins 61.77%, ties 0.66%
76s
37.90%
Wins 37.57%, ties 0.66%
KJs against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 61.769 | 0.663 | 37.568 | 62.101 |
| 76s | 37.568 | 0.663 | 61.769 | 37.899 |
Two suited hands meet here: KJs against 76s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
KJs is ahead, but 76s is far from dead: it takes 376 of every 1,000 deals outright. Ties are part of the picture: 0.66% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, KJs is number 20 and 76s is number 115 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 16,923,000 | 182,000 | 10,292,000 |
| 76s | 10,292,000 | 182,000 | 16,923,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| KJs | 1.639 | 1.619 | 2.662 | 0.610 |
| 76s | 0.610 | 2.662 | 1.619 | 1.639 |
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
Across the five flop textures KJs' equity moves by 34.33 points, from 35.00% on low rainbow flops (nine high or lower) to 69.33% on rainbow flops topped by a ten or better. The lead reverses on low rainbow flops (nine high or lower): there 76s is the favorite even though KJs is ahead overall.
| Flop | Share of flops | KJs wins | Ties | 76s wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.191 | 0.269 | 30.540 | 69.325 |
| Rainbow, nine or lower | 6.314 | 34.715 | 0.566 | 64.719 | 34.998 |
| Two-tone | 46.727 | 61.339 | 0.308 | 38.353 | 61.493 |
| Monotone | 5.273 | 57.834 | 3.463 | 38.703 | 59.566 |
| Paired | 17.091 | 63.472 | 1.374 | 35.154 | 64.159 |
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
Each hand has a baseline against a random hand: 62.57% for KJs, 45.37% for 76s. Here the change is -0.47 and -7.47 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 62.101 | 62.567 | -0.466 | 0.99255 |
| KJs, rainbow, ten or higher | 69.325 | 62.567 | +6.758 | 1.10801 |
| KJs, rainbow, nine or lower | 34.998 | 62.567 | -27.569 | 0.55937 |
| KJs, two-tone | 61.493 | 62.567 | -1.074 | 0.98283 |
| KJs, monotone | 59.566 | 62.567 | -3.001 | 0.95204 |
| KJs, paired | 64.159 | 62.567 | +1.592 | 1.02544 |
| 76s, all flops | 37.899 | 45.372 | -7.473 | 0.83529 |
| 76s, rainbow, ten or higher | 30.675 | 45.372 | -14.697 | 0.67608 |
| 76s, rainbow, nine or lower | 65.002 | 45.372 | +19.630 | 1.43265 |
| 76s, two-tone | 38.507 | 45.372 | -6.865 | 0.84870 |
| 76s, monotone | 40.434 | 45.372 | -4.938 | 0.89117 |
| 76s, paired | 35.841 | 45.372 | -9.531 | 0.78994 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KJs has 64.30%; looking only at deals where they do not, 61.37%. KJs does better with a shared suit, by 2.93 points.
| Deals | Specific deals | Share of deals | KJs wins | Ties | 76s wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.923 | 0.749 | 35.328 | 64.297 |
| No shared suit | 12 | 75.00 | 61.051 | 0.635 | 38.314 | 61.368 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJs' average share is $124.20 (a gain of $24.20) and 76s' is $75.80 (a loss of $24.20).
A thousand deals look like this: KJs takes 618, 76s takes 376, 6 are ties.
The same matchup from the other side
76s against KJs adds nothing new: it is 37.90% for 76s and 62.10% for KJs, the same figures reversed.
Keep exploring
Try KsJs against 7h6h 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
Nothing here is simulated. The 16 deals of KJs against 76s 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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