K9o
60.06%
Wins 59.72%, ties 0.68%
75s
39.94%
Wins 39.60%, ties 0.68%
K9o against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 59.720 | 0.679 | 39.601 | 60.060 |
| 75s | 39.601 | 0.679 | 59.720 | 39.940 |
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 0.68%: on those boards the pot is chopped and neither hand wins outright.
K9o ranks number 40 of 169 starting hands, and 75s ranks number 124, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 49,084,000 | 558,000 | 32,548,000 |
| 75s | 32,548,000 | 558,000 | 49,084,000 |
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) |
|---|---|---|---|---|
| K9o | 1.504 | 1.674 | 2.525 | 0.665 |
| 75s | 0.665 | 2.525 | 1.674 | 1.504 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
The flop changes the picture. K9o does best on rainbow flops topped by a ten or better, at 65.40%, and worst on low rainbow flops (nine high or lower), at 42.68%. 75s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | K9o wins | Ties | 75s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 65.217 | 0.359 | 34.424 | 65.397 |
| Rainbow, nine or lower | 5.689 | 42.382 | 0.593 | 57.025 | 42.678 |
| Two-tone | 46.667 | 58.253 | 0.379 | 41.368 | 58.442 |
| Monotone | 5.212 | 57.091 | 2.474 | 40.435 | 58.328 |
| Paired | 17.091 | 62.152 | 1.451 | 36.397 | 62.878 |
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
Against one random hand instead, K9o holds 57.81% and 75s holds 43.68%. Facing each other changes that by +2.25 points for K9o and -3.74 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 60.060 | 57.812 | +2.248 | 1.03888 |
| K9o, rainbow, ten or higher | 65.397 | 57.812 | +7.585 | 1.13120 |
| K9o, rainbow, nine or lower | 42.678 | 57.812 | -15.134 | 0.73822 |
| K9o, two-tone | 58.442 | 57.812 | +0.630 | 1.01090 |
| K9o, monotone | 58.328 | 57.812 | +0.516 | 1.00893 |
| K9o, paired | 62.878 | 57.812 | +5.066 | 1.08763 |
| 75s, all flops | 39.940 | 43.676 | -3.736 | 0.91446 |
| 75s, rainbow, ten or higher | 34.603 | 43.676 | -9.073 | 0.79227 |
| 75s, rainbow, nine or lower | 57.322 | 43.676 | +13.646 | 1.31244 |
| 75s, two-tone | 41.558 | 43.676 | -2.118 | 0.95151 |
| 75s, monotone | 41.672 | 43.676 | -2.004 | 0.95412 |
| 75s, paired | 37.122 | 43.676 | -6.554 | 0.84994 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common K9o has 60.75% equity, and with none in common it has 59.37%. K9o does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | 75s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.391 | 0.720 | 38.889 | 60.751 |
| No shared suit | 24 | 50.00 | 59.050 | 0.637 | 40.313 | 59.368 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are K9o in one seat and 75s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says K9o gets $120.12 of it on average and 75s gets $79.88.
Think in thousands: about 597 of 1,000 go to K9o, about 396 go to 75s, and about 7 are chopped.
The same matchup from the other side
75s against K9o adds nothing new: it is 39.94% for 75s and 60.06% for K9o, the same figures reversed.
Keep exploring
Try Ks9h against 7d5d 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
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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