K9o
56.72%
Wins 56.39%, ties 0.66%
JTo
43.28%
Wins 42.95%, ties 0.66%
K9o against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 56.390 | 0.659 | 42.951 | 56.719 |
| JTo | 42.951 | 0.659 | 56.390 | 43.281 |
This is a contest between two offsuit hands, K9o and JTo. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 13.44 point lead is real, and JTo still takes about 429 of every 1,000 deals outright. Ties are 0.66% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, K9o is number 40 of the 169 starting hands and JTo is number 57.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 139,042,000 | 1,625,000 | 105,905,000 |
| JTo | 105,905,000 | 1,625,000 | 139,042,000 |
The total is exact: 144 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 | 1.310 | 1.773 | 2.328 | 0.763 |
| JTo | 0.763 | 2.328 | 1.773 | 1.310 |
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 70.52%, and worst on rainbow flops topped by a ten or better, at 51.24%. K9o 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 | K9o wins | Ties | JTo wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 51.087 | 0.308 | 48.605 | 51.241 |
| Rainbow, nine or lower | 7.042 | 70.127 | 0.778 | 29.095 | 70.516 |
| Two-tone | 46.606 | 55.268 | 0.401 | 44.331 | 55.469 |
| Monotone | 5.151 | 53.392 | 1.794 | 44.814 | 54.289 |
| Paired | 17.091 | 62.171 | 1.466 | 36.363 | 62.904 |
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
Start from the random-hand figures, 57.81% for K9o and 55.25% for JTo. This opponent changes them by -1.09 and -11.97 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 56.719 | 57.812 | -1.093 | 0.98109 |
| K9o, rainbow, ten or higher | 51.241 | 57.812 | -6.571 | 0.88634 |
| K9o, rainbow, nine or lower | 70.516 | 57.812 | +12.704 | 1.21975 |
| K9o, two-tone | 55.469 | 57.812 | -2.343 | 0.95947 |
| K9o, monotone | 54.289 | 57.812 | -3.523 | 0.93906 |
| K9o, paired | 62.904 | 57.812 | +5.092 | 1.08808 |
| JTo, all flops | 43.281 | 55.248 | -11.967 | 0.78339 |
| JTo, rainbow, ten or higher | 48.759 | 55.248 | -6.489 | 0.88255 |
| JTo, rainbow, nine or lower | 29.484 | 55.248 | -25.764 | 0.53367 |
| JTo, two-tone | 44.531 | 55.248 | -10.717 | 0.80602 |
| JTo, monotone | 45.711 | 55.248 | -9.537 | 0.82738 |
| JTo, paired | 37.096 | 55.248 | -18.152 | 0.67145 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common K9o has 56.73% equity, and with none in common it has 56.68%. The two rows differ by only 0.05 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | K9o wins | Ties | JTo wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 56.389 | 0.675 | 42.936 | 56.726 |
| No shared suit | 24 | 16.67 | 56.394 | 0.580 | 43.026 | 56.684 |
How often this matchup comes up
You will meet this exact matchup 0.0177% of the time in a random heads-up deal: 288 of 1,624,350, counting either seat order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, K9o's average share is $113.44 (a gain of $13.44) and JTo's is $86.56 (a loss of $13.44).
Scaled to 1,000 deals, that is roughly 564 wins for K9o, 429 for JTo and 7 chopped pots.
The same matchup from the other side
One page covers both views. From JTo's side the equity is 43.28%, and from K9o's side it is 56.72%.
Keep exploring
Open the calculator with Ks9h against JdTc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
We counted every case. Each suit pattern of the 144 specific K9o against JTo 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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