K9o
57.77%
Wins 57.44%, ties 0.67%
QTo
42.23%
Wins 41.89%, ties 0.67%
K9o against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 57.437 | 0.666 | 41.897 | 57.770 |
| QTo | 41.897 | 0.666 | 57.437 | 42.230 |
Here offsuit hands face each other, K9o on one side and QTo on the other. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.67% of boards, so the wins and the equity differ by half of that.
Place 40 of 169 belongs to K9o and place 47 belongs to QTo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 141,623,000 | 1,642,000 | 103,306,000 |
| QTo | 103,306,000 | 1,642,000 | 141,623,000 |
The total is exact: 144 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 | 1.368 | 1.741 | 2.387 | 0.731 |
| QTo | 0.731 | 2.387 | 1.741 | 1.368 |
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
Across the five flop textures K9o's equity moves by 21.94 points, from 51.81% on rainbow flops topped by a ten or better to 73.75% on low rainbow flops (nine high or lower). K9o stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | K9o wins | Ties | QTo wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 51.658 | 0.304 | 48.038 | 51.810 |
| Rainbow, nine or lower | 7.042 | 73.332 | 0.836 | 25.832 | 73.750 |
| Two-tone | 46.606 | 56.397 | 0.411 | 43.192 | 56.603 |
| Monotone | 5.151 | 54.246 | 1.801 | 43.953 | 55.146 |
| Paired | 17.091 | 62.837 | 1.462 | 35.701 | 63.568 |
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
The table below sets each hand against its own random-hand baseline: a change of -0.04 points for K9o, from 57.81%, and -15.06 for QTo, from 57.29%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 57.770 | 57.812 | -0.042 | 0.99927 |
| K9o, rainbow, ten or higher | 51.810 | 57.812 | -6.002 | 0.89618 |
| K9o, rainbow, nine or lower | 73.750 | 57.812 | +15.938 | 1.27569 |
| K9o, two-tone | 56.603 | 57.812 | -1.209 | 0.97909 |
| K9o, monotone | 55.146 | 57.812 | -2.666 | 0.95389 |
| K9o, paired | 63.568 | 57.812 | +5.756 | 1.09956 |
| QTo, all flops | 42.230 | 57.291 | -15.061 | 0.73711 |
| QTo, rainbow, ten or higher | 48.190 | 57.291 | -9.101 | 0.84114 |
| QTo, rainbow, nine or lower | 26.250 | 57.291 | -31.041 | 0.45819 |
| QTo, two-tone | 43.397 | 57.291 | -13.894 | 0.75748 |
| QTo, monotone | 44.854 | 57.291 | -12.437 | 0.78292 |
| QTo, paired | 36.432 | 57.291 | -20.859 | 0.63591 |
Does a shared suit matter?
Does suit overlap move the numbers? K9o has 57.78% when the hands share a suit and 57.72% when they do not. The two rows differ by only 0.06 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | K9o wins | Ties | QTo wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 57.440 | 0.682 | 41.878 | 57.781 |
| No shared suit | 24 | 16.67 | 57.424 | 0.587 | 41.989 | 57.717 |
How often this matchup comes up
The class pair covers 144 combinations of specific cards in a fixed seat order, 0.0089% of 1,624,350, and 288 (0.0177%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. K9o is worth $115.54 on average (+$15.54); QTo is worth $84.46 (-$15.54).
A thousand deals look like this: K9o takes 574, QTo takes 419, 7 are ties.
The same matchup from the other side
Read it from the other side: QTo against K9o is the same matchup with the numbers swapped, so QTo holds 42.23% and K9o holds 57.77%. That address sends you back to this page.
Keep exploring
Ks9h against QdTc 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
Each figure is a complete count over boards. Take the 144 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.
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