K9o
70.40%
Wins 68.99%, ties 2.83%
T9o
29.60%
Wins 28.18%, ties 2.83%
K9o against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 68.986 | 2.825 | 28.189 | 70.398 |
| T9o | 28.189 | 2.825 | 68.986 | 29.602 |
Both hands are offsuit hands: K9o and T9o. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
K9o is well ahead, and T9o needs a specific kind of board to catch up. The tie share is 2.83%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, K9o is number 40 of the 169 starting hands and T9o is number 78.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 127,575,000 | 5,224,000 | 52,130,000 |
| T9o | 52,130,000 | 5,224,000 | 127,575,000 |
The total is exact: 108 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 | 2.378 | 1.450 | 3.547 | 0.420 |
| T9o | 0.420 | 3.547 | 1.450 | 2.378 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
K9o prefers low rainbow flops (nine high or lower), where it holds 77.47%, and likes monotone flops least, where it holds 65.59%. K9o stays ahead on all five textures.
| Flop | Share of flops | K9o wins | Ties | T9o wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.731 | 67.015 | 2.438 | 30.547 | 68.234 |
| Rainbow, nine or lower | 6.314 | 76.237 | 2.458 | 21.305 | 77.466 |
| Two-tone | 46.477 | 68.416 | 2.375 | 29.209 | 69.603 |
| Monotone | 5.144 | 63.991 | 3.190 | 32.819 | 65.586 |
| Paired | 17.334 | 72.167 | 4.611 | 23.222 | 74.473 |
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
A random hand would give K9o 57.81% and T9o 51.53%. Against each other the change is +12.59 points for K9o and -21.93 for T9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 70.398 | 57.812 | +12.586 | 1.21771 |
| K9o, rainbow, ten or higher | 68.234 | 57.812 | +10.422 | 1.18027 |
| K9o, rainbow, nine or lower | 77.466 | 57.812 | +19.654 | 1.33996 |
| K9o, two-tone | 69.603 | 57.812 | +11.791 | 1.20395 |
| K9o, monotone | 65.586 | 57.812 | +7.774 | 1.13447 |
| K9o, paired | 74.473 | 57.812 | +16.661 | 1.28819 |
| T9o, all flops | 29.602 | 51.532 | -21.930 | 0.57444 |
| T9o, rainbow, ten or higher | 31.766 | 51.532 | -19.766 | 0.61643 |
| T9o, rainbow, nine or lower | 22.534 | 51.532 | -28.998 | 0.43728 |
| T9o, two-tone | 30.397 | 51.532 | -21.135 | 0.58987 |
| T9o, monotone | 34.414 | 51.532 | -17.118 | 0.66782 |
| T9o, paired | 25.527 | 51.532 | -26.005 | 0.49536 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common K9o has 70.49% equity, and with none in common it has 70.09%. K9o does better with a shared suit, by 0.40 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | T9o wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 69.060 | 2.853 | 28.087 | 70.486 |
| No shared suit | 24 | 22.22 | 68.727 | 2.728 | 28.545 | 70.091 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 108 are K9o in one seat and T9o in the other (0.0066%); with the seats swapped too, 216 (0.0133%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average K9o takes back $140.80 of it, which is $40.80 more than it put in, and T9o takes back $59.20, $40.80 less than it put in.
Scaled to 1,000 deals, that is roughly 690 wins for K9o, 282 for T9o and 28 chopped pots.
The same matchup from the other side
One page covers both views. From T9o's side the equity is 29.60%, and from K9o's side it is 70.40%.
Keep exploring
The calculator link fills in Ks9h against Td9c, 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
Each figure is a complete count over boards. Take the 108 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.
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