KQo
73.96%
Wins 71.16%, ties 5.61%
KJo
26.04%
Wins 23.23%, ties 5.61%
KQo against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 71.156 | 5.608 | 23.236 | 73.960 |
| KJo | 23.236 | 5.608 | 71.156 | 26.040 |
Two offsuit hands meet here: KQo against KJo. 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.
KQo is the clear favorite, though KJo gets there on roughly one board in 4. 5.61% of boards are ties, so the equity of each hand is its win rate plus half of that.
The hand ranking puts KQo at 23 and KJo at 26 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 131,588,000 | 10,371,000 | 42,970,000 |
| KJo | 42,970,000 | 10,371,000 | 131,588,000 |
Exact total: 108 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) |
|---|---|---|---|---|
| KQo | 2.840 | 1.405 | 4.304 | 0.352 |
| KJo | 0.352 | 4.304 | 1.405 | 2.840 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for KQo (85.18%); monotone flops are the worst (68.83%). KQo 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 | KQo wins | Ties | KJo wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 69.969 | 3.376 | 26.655 | 71.657 |
| Rainbow, nine or lower | 7.771 | 83.185 | 3.997 | 12.818 | 85.184 |
| Two-tone | 46.477 | 72.589 | 3.479 | 23.932 | 74.329 |
| Monotone | 5.144 | 66.630 | 4.408 | 28.962 | 68.834 |
| Paired | 17.333 | 64.855 | 15.393 | 19.752 | 72.552 |
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
How much does the opponent matter? Compared with its random-hand 61.46%, KQo changes by +12.50 points, and KJo, from 60.57%, by -34.53.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 73.960 | 61.456 | +12.504 | 1.20346 |
| KQo, rainbow, ten or higher | 71.657 | 61.456 | +10.201 | 1.16599 |
| KQo, rainbow, nine or lower | 85.184 | 61.456 | +23.728 | 1.38610 |
| KQo, two-tone | 74.329 | 61.456 | +12.873 | 1.20947 |
| KQo, monotone | 68.834 | 61.456 | +7.378 | 1.12005 |
| KQo, paired | 72.552 | 61.456 | +11.096 | 1.18055 |
| KJo, all flops | 26.040 | 60.569 | -34.529 | 0.42992 |
| KJo, rainbow, ten or higher | 28.343 | 60.569 | -32.226 | 0.46795 |
| KJo, rainbow, nine or lower | 14.816 | 60.569 | -45.753 | 0.24461 |
| KJo, two-tone | 25.671 | 60.569 | -34.898 | 0.42383 |
| KJo, monotone | 31.166 | 60.569 | -29.403 | 0.51455 |
| KJo, paired | 27.448 | 60.569 | -33.121 | 0.45317 |
Does a shared suit matter?
The suit split reads 74.07% for KQo with a shared suit and 73.59% without one. KQo does better with a shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | KJo wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 71.249 | 5.635 | 23.116 | 74.066 |
| No shared suit | 24 | 22.22 | 70.829 | 5.516 | 23.655 | 73.587 |
How often this matchup comes up
The class pair covers 108 combinations of specific cards in a fixed seat order, 0.0066% of 1,624,350, and 216 (0.0133%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KQo gets $147.92 of it on average and KJo gets $52.08.
In 1,000 deals of exactly this matchup, expect about 712 won outright by KQo, about 232 won outright by KJo and about 56 split.
The same matchup from the other side
Swap the hands and you get KJo with 26.04% against KQo with 73.96%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try KsQh against KdJc in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Method: exact enumeration. The 108 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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