K9s
58.86%
Wins 58.53%, ties 0.67%
JTo
41.14%
Wins 40.80%, ties 0.67%
K9s against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 58.532 | 0.665 | 40.803 | 58.864 |
| JTo | 40.803 | 0.665 | 58.532 | 41.136 |
The matchup pits a suited hand against an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 17.72 point lead is real, and JTo still takes about 408 of every 1,000 deals outright. A split pot comes up on 0.67% of boards, so the wins and the equity differ by half of that.
K9s ranks number 29 of 169 starting hands, and JTo ranks number 57, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 48,108,000 | 547,000 | 33,536,000 |
| JTo | 33,536,000 | 547,000 | 48,108,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| K9s | 1.431 | 1.708 | 2.451 | 0.699 |
| JTo | 0.699 | 2.451 | 1.708 | 1.431 |
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
If you know the kind of flop that came, the numbers shift: K9s holds 71.56% on low rainbow flops (nine high or lower) and 52.68% on rainbow flops topped by a ten or better. K9s 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 | K9s wins | Ties | JTo wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 52.534 | 0.299 | 47.167 | 52.683 |
| Rainbow, nine or lower | 7.042 | 71.194 | 0.741 | 28.065 | 71.564 |
| Two-tone | 46.667 | 58.240 | 0.369 | 41.391 | 58.425 |
| Monotone | 5.212 | 54.236 | 2.445 | 43.319 | 55.458 |
| Paired | 17.091 | 63.840 | 1.414 | 34.746 | 64.547 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts K9s from 59.99% by -1.13 points and JTo from 55.25% by -14.11 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 58.864 | 59.988 | -1.124 | 0.98126 |
| K9s, rainbow, ten or higher | 52.683 | 59.988 | -7.305 | 0.87823 |
| K9s, rainbow, nine or lower | 71.564 | 59.988 | +11.576 | 1.19297 |
| K9s, two-tone | 58.425 | 59.988 | -1.563 | 0.97394 |
| K9s, monotone | 55.458 | 59.988 | -4.530 | 0.92448 |
| K9s, paired | 64.547 | 59.988 | +4.559 | 1.07600 |
| JTo, all flops | 41.136 | 55.248 | -14.112 | 0.74457 |
| JTo, rainbow, ten or higher | 47.317 | 55.248 | -7.931 | 0.85645 |
| JTo, rainbow, nine or lower | 28.436 | 55.248 | -26.812 | 0.51470 |
| JTo, two-tone | 41.575 | 55.248 | -13.673 | 0.75252 |
| JTo, monotone | 44.542 | 55.248 | -10.706 | 0.80622 |
| JTo, paired | 35.453 | 55.248 | -19.795 | 0.64171 |
Does a shared suit matter?
Does suit overlap move the numbers? K9s has 58.55% when the hands share a suit and 59.18% when they do not. K9s does better with no shared suit, by 0.63 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | JTo wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.195 | 0.706 | 41.099 | 58.548 |
| No shared suit | 24 | 50.00 | 58.869 | 0.625 | 40.506 | 59.181 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are K9s against JTo, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. K9s' equity of 58.86% is worth $117.72, a $17.72 edge, and JTo's 41.14% is worth $82.28, which is $17.72 under its stake.
Per 1,000 deals: K9s wins about 585, JTo wins about 408, and about 7 end in a split pot.
The same matchup from the other side
The mirror image, JTo against K9s, is 41.14% to 58.86%, and its address redirects to this page.
Keep exploring
Ks9s against JhTd is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 48 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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