KTo
72.03%
Wins 70.64%, ties 2.79%
JTo
27.97%
Wins 26.57%, ties 2.79%
KTo against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 70.637 | 2.793 | 26.570 | 72.033 |
| JTo | 26.570 | 2.793 | 70.637 | 27.967 |
KTo and JTo are both offsuit hands. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
KTo is the clear favorite, though JTo gets there on roughly one board in 4. Ties are part of the picture: 2.79% of boards end in a split pot, and each side counts that as half a win.
Place 33 of 169 belongs to KTo and place 57 belongs to JTo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 130,628,000 | 5,165,000 | 49,136,000 |
| JTo | 49,136,000 | 5,165,000 | 130,628,000 |
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) |
|---|---|---|---|---|
| KTo | 2.576 | 1.416 | 3.764 | 0.388 |
| JTo | 0.388 | 3.764 | 1.416 | 2.576 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and KTo is strongest on low rainbow flops (nine high or lower) (79.22%) and weakest on monotone flops (66.87%). KTo stays ahead on all five textures.
| Flop | Share of flops | KTo wins | Ties | JTo wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 68.144 | 2.708 | 29.148 | 69.498 |
| Rainbow, nine or lower | 7.771 | 78.460 | 1.517 | 20.023 | 79.218 |
| Two-tone | 46.477 | 70.186 | 2.343 | 27.471 | 71.357 |
| Monotone | 5.144 | 65.278 | 3.173 | 31.549 | 66.865 |
| Paired | 17.333 | 73.276 | 4.571 | 22.153 | 75.562 |
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
Relative to a random opponent, KTo changes by +12.29 points (baseline 59.74%) and JTo by -27.28 points (baseline 55.25%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 72.033 | 59.739 | +12.294 | 1.20580 |
| KTo, rainbow, ten or higher | 69.498 | 59.739 | +9.759 | 1.16336 |
| KTo, rainbow, nine or lower | 79.218 | 59.739 | +19.479 | 1.32607 |
| KTo, two-tone | 71.357 | 59.739 | +11.618 | 1.19448 |
| KTo, monotone | 66.865 | 59.739 | +7.126 | 1.11929 |
| KTo, paired | 75.562 | 59.739 | +15.823 | 1.26487 |
| JTo, all flops | 27.967 | 55.248 | -27.281 | 0.50621 |
| JTo, rainbow, ten or higher | 30.502 | 55.248 | -24.746 | 0.55209 |
| JTo, rainbow, nine or lower | 20.782 | 55.248 | -34.466 | 0.37616 |
| JTo, two-tone | 28.643 | 55.248 | -26.605 | 0.51844 |
| JTo, monotone | 33.135 | 55.248 | -22.113 | 0.59975 |
| JTo, paired | 24.438 | 55.248 | -30.810 | 0.44233 |
Does a shared suit matter?
Split by suits, the deals give KTo 72.13% when the hands overlap in a suit and 71.71% when they do not. KTo does better with a shared suit, by 0.42 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | JTo wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 70.717 | 2.820 | 26.463 | 72.127 |
| No shared suit | 24 | 22.22 | 70.357 | 2.696 | 26.947 | 71.705 |
How often this matchup comes up
How often does it happen? 108 of the 1,624,350 ordered deals (0.0066%) are KTo against JTo, and 216 (0.0133%) 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. KTo averages $144.06 from the $200, up $44.06; JTo averages $55.94, down $44.06.
Per 1,000 deals: KTo wins about 706, JTo wins about 266, and about 28 end in a split pot.
The same matchup from the other side
Read it from the other side: JTo against KTo is the same matchup with the numbers swapped, so JTo holds 27.97% and KTo holds 72.03%. That address sends you back to this page.
Keep exploring
The calculator link fills in KsTh against JdTc, 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 108 specific deals of KTo against JTo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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