K9s
56.21%
Wins 55.86%, ties 0.70%
JTs
43.79%
Wins 43.44%, ties 0.70%
K9s against JTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 55.857 | 0.699 | 43.444 | 56.207 |
| JTs | 43.444 | 0.699 | 55.857 | 43.793 |
Two suited hands meet here: K9s against JTs. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 12.42 point lead is real, and JTs still takes about 434 of every 1,000 deals outright. 0.70% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 29 of 169 belongs to K9s and place 45 belongs to JTs in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 15,303,000 | 192,000 | 11,902,000 |
| JTs | 11,902,000 | 192,000 | 15,303,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| K9s | 1.283 | 1.790 | 2.302 | 0.779 |
| JTs | 0.779 | 2.302 | 1.790 | 1.283 |
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
Break the boards down by their first three cards and K9s is strongest on low rainbow flops (nine high or lower) (69.29%) and weakest on rainbow flops topped by a ten or better (51.34%). 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 | JTs wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 51.193 | 0.290 | 48.517 | 51.338 |
| Rainbow, nine or lower | 7.042 | 68.937 | 0.714 | 30.349 | 69.294 |
| Two-tone | 46.727 | 54.812 | 0.347 | 44.841 | 54.986 |
| Monotone | 5.273 | 51.984 | 3.464 | 44.552 | 53.716 |
| Paired | 17.091 | 61.031 | 1.376 | 37.593 | 61.719 |
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
How much does the opponent matter? Compared with its random-hand 59.99%, K9s changes by -3.78 points, and JTs, from 57.53%, by -13.74.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 56.207 | 59.988 | -3.781 | 0.93697 |
| K9s, rainbow, ten or higher | 51.338 | 59.988 | -8.650 | 0.85580 |
| K9s, rainbow, nine or lower | 69.294 | 59.988 | +9.306 | 1.15513 |
| K9s, two-tone | 54.986 | 59.988 | -5.002 | 0.91662 |
| K9s, monotone | 53.716 | 59.988 | -6.272 | 0.89545 |
| K9s, paired | 61.719 | 59.988 | +1.731 | 1.02886 |
| JTs, all flops | 43.793 | 57.528 | -13.735 | 0.76125 |
| JTs, rainbow, ten or higher | 48.662 | 57.528 | -8.866 | 0.84588 |
| JTs, rainbow, nine or lower | 30.706 | 57.528 | -26.822 | 0.53376 |
| JTs, two-tone | 45.014 | 57.528 | -12.514 | 0.78247 |
| JTs, monotone | 46.284 | 57.528 | -11.244 | 0.80455 |
| JTs, paired | 38.281 | 57.528 | -19.247 | 0.66543 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (K9s at 58.06%) and 12 do not (55.59%). K9s does better with a shared suit, by 2.47 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | JTs wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.665 | 0.785 | 41.550 | 58.058 |
| No shared suit | 12 | 75.00 | 55.254 | 0.671 | 44.075 | 55.590 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are K9s against JTs, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. K9s averages $112.42 from the $200, up $12.42; JTs averages $87.58, down $12.42.
Run 1,000 deals and the tally comes out near 559 for K9s, 434 for JTs and 7 ties.
The same matchup from the other side
Read it from the other side: JTs against K9s is the same matchup with the numbers swapped, so JTs holds 43.79% and K9s holds 56.21%. That address sends you back to this page.
Keep exploring
The calculator link fills in Ks9s against JhTh, 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 16 specific K9s against JTs 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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