K9o
66.59%
Wins 65.20%, ties 2.77%
T9s
33.41%
Wins 32.03%, ties 2.77%
K9o against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 65.201 | 2.768 | 32.031 | 66.585 |
| T9s | 32.031 | 2.768 | 65.201 | 33.415 |
Here an offsuit hand (K9o) meets a suited hand (T9s). Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 33.18 points is large but not decisive: T9s still takes about 320 of every 1,000 deals. Ties are part of the picture: 2.77% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, K9o is number 40 and T9s is number 64 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 40,192,000 | 1,706,000 | 19,745,000 |
| T9s | 19,745,000 | 1,706,000 | 40,192,000 |
The total is exact: 36 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 | 1.993 | 1.534 | 3.122 | 0.502 |
| T9s | 0.502 | 3.122 | 1.534 | 1.993 |
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
The flop changes the picture. K9o does best on low rainbow flops (nine high or lower), at 74.80%, and worst on monotone flops, at 62.76%. K9o stays ahead on all five textures.
| Flop | Share of flops | K9o wins | Ties | T9s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.634 | 64.943 | 2.387 | 32.670 | 66.137 |
| Rainbow, nine or lower | 6.314 | 73.597 | 2.402 | 24.001 | 74.798 |
| Two-tone | 46.527 | 63.558 | 2.265 | 34.177 | 64.691 |
| Monotone | 5.192 | 60.890 | 3.730 | 35.380 | 62.755 |
| Paired | 17.333 | 68.211 | 4.505 | 27.284 | 70.463 |
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
Each hand has a baseline against a random hand: 57.81% for K9o, 54.03% for T9s. Here the change is +8.78 and -20.62 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 66.585 | 57.812 | +8.773 | 1.15175 |
| K9o, rainbow, ten or higher | 66.137 | 57.812 | +8.325 | 1.14400 |
| K9o, rainbow, nine or lower | 74.798 | 57.812 | +16.986 | 1.29381 |
| K9o, two-tone | 64.691 | 57.812 | +6.879 | 1.11899 |
| K9o, monotone | 62.755 | 57.812 | +4.943 | 1.08550 |
| K9o, paired | 70.463 | 57.812 | +12.651 | 1.21883 |
| T9s, all flops | 33.415 | 54.028 | -20.613 | 0.61848 |
| T9s, rainbow, ten or higher | 33.863 | 54.028 | -20.165 | 0.62677 |
| T9s, rainbow, nine or lower | 25.202 | 54.028 | -28.826 | 0.46646 |
| T9s, two-tone | 35.309 | 54.028 | -18.719 | 0.65353 |
| T9s, monotone | 37.245 | 54.028 | -16.783 | 0.68936 |
| T9s, paired | 29.537 | 54.028 | -24.491 | 0.54670 |
Does a shared suit matter?
The suit split reads 67.58% for K9o with a shared suit and 66.09% without one. K9o does better with a shared suit, by 1.49 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | T9s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 66.153 | 2.849 | 30.998 | 67.577 |
| No shared suit | 24 | 66.67 | 64.725 | 2.728 | 32.547 | 66.089 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, K9o's average share is $133.18 (a gain of $33.18) and T9s' is $66.82 (a loss of $33.18).
Scaled to 1,000 deals, that is roughly 652 wins for K9o, 320 for T9s and 28 chopped pots.
The same matchup from the other side
T9s versus K9o is this same page seen from the other hand: 33.41% for T9s, 66.59% for K9o.
Keep exploring
Try Ks9h against Td9d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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