KJo
73.81%
Wins 72.58%, ties 2.48%
QJo
26.19%
Wins 24.94%, ties 2.48%
KJo against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 72.575 | 2.477 | 24.948 | 73.814 |
| QJo | 24.948 | 2.477 | 72.575 | 26.186 |
Both hands are offsuit hands: KJo and QJo. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
KJo is the clear favorite, though QJo gets there on roughly one board in 4. 2.48% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, KJo is number 26 and QJo is number 39 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 134,212,000 | 4,581,000 | 46,136,000 |
| QJo | 46,136,000 | 4,581,000 | 134,212,000 |
108 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| KJo | 2.819 | 1.378 | 4.008 | 0.355 |
| QJo | 0.355 | 4.008 | 1.378 | 2.819 |
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
Across the five flop textures KJo's equity moves by 16.53 points, from 68.27% on monotone flops to 84.80% on low rainbow flops (nine high or lower). KJo 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 | KJo wins | Ties | QJo wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 69.143 | 2.292 | 28.565 | 70.289 |
| Rainbow, nine or lower | 7.771 | 84.163 | 1.270 | 14.567 | 84.798 |
| Two-tone | 46.477 | 72.283 | 1.984 | 25.733 | 73.275 |
| Monotone | 5.144 | 66.808 | 2.914 | 30.278 | 68.265 |
| Paired | 17.333 | 74.486 | 4.459 | 21.055 | 76.716 |
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
Each hand has a baseline against a random hand: 60.57% for KJo, 58.14% for QJo. Here the change is +13.24 and -31.95 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 73.814 | 60.569 | +13.245 | 1.21868 |
| KJo, rainbow, ten or higher | 70.289 | 60.569 | +9.720 | 1.16048 |
| KJo, rainbow, nine or lower | 84.798 | 60.569 | +24.229 | 1.40002 |
| KJo, two-tone | 73.275 | 60.569 | +12.706 | 1.20978 |
| KJo, monotone | 68.265 | 60.569 | +7.696 | 1.12706 |
| KJo, paired | 76.716 | 60.569 | +16.147 | 1.26659 |
| QJo, all flops | 26.186 | 58.135 | -31.949 | 0.45043 |
| QJo, rainbow, ten or higher | 29.711 | 58.135 | -28.424 | 0.51107 |
| QJo, rainbow, nine or lower | 15.202 | 58.135 | -42.933 | 0.26149 |
| QJo, two-tone | 26.725 | 58.135 | -31.410 | 0.45971 |
| QJo, monotone | 31.735 | 58.135 | -26.400 | 0.54588 |
| QJo, paired | 23.284 | 58.135 | -34.851 | 0.40052 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common KJo has 73.92% equity, and with none in common it has 73.46%. KJo does better with a shared suit, by 0.46 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | QJo wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 72.663 | 2.503 | 24.834 | 73.915 |
| No shared suit | 24 | 22.22 | 72.268 | 2.386 | 25.346 | 73.461 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 108 are KJo in one seat and QJo in the other (0.0066%); with the seats swapped too, 216 (0.0133%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KJo gets $147.62 of it on average and QJo gets $52.38.
Think in thousands: about 726 of 1,000 go to KJo, about 249 go to QJo, and about 25 are chopped.
The same matchup from the other side
Swap the hands and you get QJo with 26.19% against KJo with 73.81%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in KsJh against QdJc, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 108 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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