QTs
45.53%
Wins 45.19%, ties 0.67%
K9o
54.47%
Wins 54.14%, ties 0.67%
QTs against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 45.189 | 0.673 | 54.138 | 45.525 |
| K9o | 54.138 | 0.673 | 45.189 | 54.475 |
QTs and K9o are a suited hand and an offsuit hand, in that order. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a slim edge: neither hand is far ahead. Ties are part of the picture: 0.67% of boards end in a split pot, and each side counts that as half a win.
For context, QTs sits at number 34 of 169 starting hands and K9o at number 40 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 37,141,000 | 553,000 | 44,496,000 |
| K9o | 44,496,000 | 553,000 | 37,141,000 |
48 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) |
|---|---|---|---|---|
| QTs | 0.836 | 2.213 | 1.847 | 1.197 |
| K9o | 1.197 | 1.847 | 2.213 | 0.836 |
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 K9o's equity moves by 20.69 points, from 50.19% on rainbow flops topped by a ten or better to 70.88% 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 | QTs wins | Ties | K9o wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 49.662 | 0.293 | 50.045 | 49.809 |
| Rainbow, nine or lower | 7.042 | 28.723 | 0.800 | 70.477 | 29.123 |
| Two-tone | 46.667 | 47.451 | 0.379 | 52.170 | 47.641 |
| Monotone | 5.212 | 46.139 | 2.456 | 51.405 | 47.367 |
| Paired | 17.091 | 39.227 | 1.410 | 59.363 | 39.932 |
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
The table below sets each hand against its own random-hand baseline: a change of -13.94 points for QTs, from 59.47%, and -3.34 for K9o, from 57.81%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 45.525 | 59.468 | -13.943 | 0.76554 |
| QTs, rainbow, ten or higher | 49.809 | 59.468 | -9.659 | 0.83758 |
| QTs, rainbow, nine or lower | 29.123 | 59.468 | -30.345 | 0.48973 |
| QTs, two-tone | 47.641 | 59.468 | -11.827 | 0.80112 |
| QTs, monotone | 47.367 | 59.468 | -12.101 | 0.79651 |
| QTs, paired | 39.932 | 59.468 | -19.536 | 0.67149 |
| K9o, all flops | 54.475 | 57.812 | -3.337 | 0.94228 |
| K9o, rainbow, ten or higher | 50.191 | 57.812 | -7.621 | 0.86818 |
| K9o, rainbow, nine or lower | 70.877 | 57.812 | +13.065 | 1.22599 |
| K9o, two-tone | 52.359 | 57.812 | -5.453 | 0.90568 |
| K9o, monotone | 52.633 | 57.812 | -5.179 | 0.91042 |
| K9o, paired | 60.068 | 57.812 | +2.256 | 1.03902 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and K9o holds 54.91%. In 24 they do not, and it holds 54.04%. K9o does better with a shared suit, by 0.87 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | K9o wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 44.730 | 0.712 | 54.558 | 45.086 |
| No shared suit | 24 | 50.00 | 45.648 | 0.633 | 53.719 | 45.964 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are QTs against K9o, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average K9o takes back $108.94 of it, which is $8.94 more than it put in, and QTs takes back $91.06, $8.94 less than it put in.
Over a long run, 1,000 deals split into about 541 for K9o, 452 for QTs and 7 tied.
The same matchup from the other side
K9o versus QTs is this same page seen from the other hand: 54.47% for K9o, 45.53% for QTs.
Keep exploring
Try QsTs against Kh9d 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
This is an exact count with no sampling. For the 48 ways to deal one QTs and one K9o 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.
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