K9o
59.04%
Wins 58.72%, ties 0.63%
76s
40.96%
Wins 40.65%, ties 0.63%
K9o against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 58.723 | 0.630 | 40.647 | 59.038 |
| 76s | 40.647 | 0.630 | 58.723 | 40.962 |
The matchup pits an offsuit hand against a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.63%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, K9o is number 40 of the 169 starting hands and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 48,265,000 | 518,000 | 33,408,000 |
| 76s | 33,408,000 | 518,000 | 48,265,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| K9o | 1.441 | 1.703 | 2.460 | 0.694 |
| 76s | 0.694 | 2.460 | 1.703 | 1.441 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Break the boards down by their first three cards and K9o is strongest on rainbow flops topped by a ten or better (64.24%) and weakest on low rainbow flops (nine high or lower) (41.47%). Watch for low rainbow flops (nine high or lower): on those flops 76s holds the better equity.
| Flop | Share of flops | K9o wins | Ties | 76s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 64.082 | 0.313 | 35.605 | 64.239 |
| Rainbow, nine or lower | 5.689 | 41.245 | 0.455 | 58.300 | 41.472 |
| Two-tone | 46.667 | 57.215 | 0.322 | 42.463 | 57.376 |
| Monotone | 5.212 | 56.300 | 2.433 | 41.267 | 57.516 |
| Paired | 17.091 | 61.454 | 1.447 | 37.099 | 62.177 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
A random hand would give K9o 57.81% and 76s 45.37%. Against each other the change is +1.23 points for K9o and -4.41 for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 59.038 | 57.812 | +1.226 | 1.02121 |
| K9o, rainbow, ten or higher | 64.239 | 57.812 | +6.427 | 1.11117 |
| K9o, rainbow, nine or lower | 41.472 | 57.812 | -16.340 | 0.71736 |
| K9o, two-tone | 57.376 | 57.812 | -0.436 | 0.99246 |
| K9o, monotone | 57.516 | 57.812 | -0.296 | 0.99488 |
| K9o, paired | 62.177 | 57.812 | +4.365 | 1.07550 |
| 76s, all flops | 40.962 | 45.372 | -4.410 | 0.90280 |
| 76s, rainbow, ten or higher | 35.761 | 45.372 | -9.611 | 0.78817 |
| 76s, rainbow, nine or lower | 58.528 | 45.372 | +13.156 | 1.28996 |
| 76s, two-tone | 42.624 | 45.372 | -2.748 | 0.93943 |
| 76s, monotone | 42.484 | 45.372 | -2.888 | 0.93635 |
| 76s, paired | 37.823 | 45.372 | -7.549 | 0.83362 |
Does a shared suit matter?
When the hands share a suit, K9o holds 59.70%; when they do not, it holds 58.38%. K9o does better with a shared suit, by 1.32 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 76s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.363 | 0.671 | 39.966 | 59.698 |
| No shared suit | 24 | 50.00 | 58.084 | 0.588 | 41.328 | 58.378 |
How often this matchup comes up
K9o against 76s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Put $100 each into a $200 pot and deal every board once: K9o averages $118.08 back, ahead of its $100 by $18.08, while 76s averages $81.92, short of its $100 by $18.08.
Per 1,000 deals: K9o wins about 587, 76s wins about 407, and about 6 end in a split pot.
The same matchup from the other side
76s against K9o adds nothing new: it is 40.96% for 76s and 59.04% for K9o, the same figures reversed.
Keep exploring
Open the calculator with Ks9h against 7d6d 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
This is an exact count with no sampling. For the 48 ways to deal one K9o and one 76s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session