KQo
60.66%
Wins 60.33%, ties 0.67%
T9s
39.34%
Wins 39.00%, ties 0.67%
KQo against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 60.325 | 0.673 | 39.002 | 60.661 |
| T9s | 39.002 | 0.673 | 60.325 | 39.339 |
The first hand is an offsuit hand; the second is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 21.32 point lead is real, and T9s still takes about 390 of every 1,000 deals outright. Of every 100 boards, about 0.67 are split pots, and the equity figures already include them.
For context, KQo sits at number 23 of 169 starting hands and T9s at number 64 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 49,581,000 | 553,000 | 32,056,000 |
| T9s | 32,056,000 | 553,000 | 49,581,000 |
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) |
|---|---|---|---|---|
| KQo | 1.542 | 1.658 | 2.564 | 0.649 |
| T9s | 0.649 | 2.564 | 1.658 | 1.542 |
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
If you know the kind of flop that came, the numbers shift: KQo holds 64.98% on rainbow flops topped by a ten or better and 51.49% on low rainbow flops (nine high or lower). KQo stays ahead on all five textures.
| Flop | Share of flops | KQo wins | Ties | T9s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 64.837 | 0.294 | 34.869 | 64.984 |
| Rainbow, nine or lower | 7.042 | 51.091 | 0.800 | 48.109 | 51.491 |
| Two-tone | 46.667 | 58.998 | 0.379 | 40.623 | 59.188 |
| Monotone | 5.212 | 57.724 | 2.457 | 39.819 | 58.952 |
| Paired | 17.091 | 62.213 | 1.410 | 36.377 | 62.918 |
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
Compared with a random opponent, this matchup shifts KQo from 61.46% by -0.80 points and T9s from 54.03% by -14.69 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 60.661 | 61.456 | -0.795 | 0.98706 |
| KQo, rainbow, ten or higher | 64.984 | 61.456 | +3.528 | 1.05741 |
| KQo, rainbow, nine or lower | 51.491 | 61.456 | -9.965 | 0.83785 |
| KQo, two-tone | 59.188 | 61.456 | -2.268 | 0.96310 |
| KQo, monotone | 58.952 | 61.456 | -2.504 | 0.95926 |
| KQo, paired | 62.918 | 61.456 | +1.462 | 1.02379 |
| T9s, all flops | 39.339 | 54.028 | -14.689 | 0.72812 |
| T9s, rainbow, ten or higher | 35.016 | 54.028 | -19.012 | 0.64811 |
| T9s, rainbow, nine or lower | 48.509 | 54.028 | -5.519 | 0.89785 |
| T9s, two-tone | 40.812 | 54.028 | -13.216 | 0.75539 |
| T9s, monotone | 41.048 | 54.028 | -12.980 | 0.75975 |
| T9s, paired | 37.082 | 54.028 | -16.946 | 0.68635 |
Does a shared suit matter?
Does suit overlap move the numbers? KQo has 61.34% when the hands share a suit and 59.98% when they do not. KQo does better with a shared suit, by 1.36 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | T9s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.982 | 0.713 | 38.305 | 61.339 |
| No shared suit | 24 | 50.00 | 59.667 | 0.633 | 39.700 | 59.984 |
How often this matchup comes up
KQo against T9s 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
With $100 from each side, the $200 pot is split on average as $121.32 for KQo and $78.68 for T9s; the first side gains $21.32 per all-in and the second gives up $21.32.
In 1,000 deals of exactly this matchup, expect about 603 won outright by KQo, about 390 won outright by T9s and about 7 split.
The same matchup from the other side
The reversed view, T9s against KQo, shows 39.34% for T9s and 60.66% for KQo. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in KsQh against Td9d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
We counted every case. Each suit pattern of the 48 specific KQo against T9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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