KQo
64.34%
Wins 64.00%, ties 0.67%
T9o
35.66%
Wins 35.33%, ties 0.67%
KQo against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 64.002 | 0.666 | 35.332 | 64.335 |
| T9o | 35.332 | 0.666 | 64.002 | 35.665 |
Both hands are offsuit hands: KQo and T9o. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 0.67 are split pots, and the equity figures already include them.
Among the 169 starting hands, KQo is number 23 and T9o is number 78 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 157,811,000 | 1,642,000 | 87,119,000 |
| T9o | 87,119,000 | 1,642,000 | 157,811,000 |
144 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) |
|---|---|---|---|---|
| KQo | 1.804 | 1.562 | 2.830 | 0.554 |
| T9o | 0.554 | 2.830 | 1.562 | 1.804 |
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
Break the boards down by their first three cards and KQo is strongest on rainbow flops topped by a ten or better (66.94%) and weakest on low rainbow flops (nine high or lower) (53.53%). KQo stays ahead on all five textures.
| Flop | Share of flops | KQo wins | Ties | T9o wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 66.787 | 0.304 | 32.909 | 66.939 |
| Rainbow, nine or lower | 7.042 | 53.109 | 0.836 | 46.055 | 53.527 |
| Two-tone | 46.606 | 63.706 | 0.411 | 35.883 | 63.911 |
| Monotone | 5.151 | 62.560 | 1.801 | 35.639 | 63.461 |
| Paired | 17.091 | 65.804 | 1.462 | 32.734 | 66.535 |
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
Relative to a random opponent, KQo changes by +2.88 points (baseline 61.46%) and T9o by -15.87 points (baseline 51.53%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 64.335 | 61.456 | +2.879 | 1.04685 |
| KQo, rainbow, ten or higher | 66.939 | 61.456 | +5.483 | 1.08922 |
| KQo, rainbow, nine or lower | 53.527 | 61.456 | -7.929 | 0.87098 |
| KQo, two-tone | 63.911 | 61.456 | +2.455 | 1.03995 |
| KQo, monotone | 63.461 | 61.456 | +2.005 | 1.03262 |
| KQo, paired | 66.535 | 61.456 | +5.079 | 1.08264 |
| T9o, all flops | 35.665 | 51.532 | -15.867 | 0.69209 |
| T9o, rainbow, ten or higher | 33.061 | 51.532 | -18.471 | 0.64156 |
| T9o, rainbow, nine or lower | 46.473 | 51.532 | -5.059 | 0.90183 |
| T9o, two-tone | 36.089 | 51.532 | -15.443 | 0.70032 |
| T9o, monotone | 36.539 | 51.532 | -14.993 | 0.70905 |
| T9o, paired | 33.465 | 51.532 | -18.067 | 0.64940 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KQo has 64.44%; looking only at deals where they do not, 63.80%. KQo does better with a shared suit, by 0.64 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | T9o wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 64.101 | 0.682 | 35.217 | 64.442 |
| No shared suit | 24 | 16.67 | 63.509 | 0.587 | 35.904 | 63.803 |
How often this matchup comes up
Counting specific cards, KQo against T9o appears in 144 of the 1,624,350 ordered heads-up deals (0.0089%), and in 288 when the seats are swapped too (0.0177%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KQo gets $128.68 of it on average and T9o gets $71.32.
In 1,000 deals of exactly this matchup, expect about 640 won outright by KQo, about 353 won outright by T9o and about 7 split.
The same matchup from the other side
T9o versus KQo is this same page seen from the other hand: 35.66% for T9o, 64.34% for KQo.
Keep exploring
Try KsQh against Td9c 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 144 ways to deal one KQo and one T9o 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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