KQo
74.14%
Wins 72.89%, ties 2.50%
QJo
25.86%
Wins 24.61%, ties 2.50%
KQo against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 72.888 | 2.498 | 24.614 | 74.137 |
| QJo | 24.614 | 2.498 | 72.888 | 25.863 |
KQo meets QJo, and both are 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.
A lead of 48.28 points is large but not decisive: QJo still takes about 246 of every 1,000 deals. 2.50% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, KQo is number 23 of the 169 starting hands and QJo is number 39.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 134,791,000 | 4,620,000 | 45,518,000 |
| QJo | 45,518,000 | 4,620,000 | 134,791,000 |
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 | 2.867 | 1.372 | 4.063 | 0.349 |
| QJo | 0.349 | 4.063 | 1.372 | 2.867 |
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
Split by what the flop looks like, KQo peaks at 84.80% on low rainbow flops (nine high or lower) and bottoms out at 70.33% on monotone flops. KQo stays ahead on all five textures.
| Flop | Share of flops | KQo wins | Ties | QJo wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.275 | 69.220 | 2.304 | 28.476 | 70.372 |
| Rainbow, nine or lower | 7.771 | 84.163 | 1.270 | 14.567 | 84.798 |
| Two-tone | 46.477 | 72.596 | 1.993 | 25.411 | 73.593 |
| Monotone | 5.144 | 68.864 | 2.923 | 28.213 | 70.326 |
| Paired | 17.333 | 74.732 | 4.540 | 20.728 | 77.002 |
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
Compared with a random opponent, this matchup shifts KQo from 61.46% by +12.68 points and QJo from 58.14% by -32.28 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 74.137 | 61.456 | +12.681 | 1.20634 |
| KQo, rainbow, ten or higher | 70.372 | 61.456 | +8.916 | 1.14508 |
| KQo, rainbow, nine or lower | 84.798 | 61.456 | +23.342 | 1.37982 |
| KQo, two-tone | 73.593 | 61.456 | +12.137 | 1.19749 |
| KQo, monotone | 70.326 | 61.456 | +8.870 | 1.14433 |
| KQo, paired | 77.002 | 61.456 | +15.546 | 1.25296 |
| QJo, all flops | 25.863 | 58.135 | -32.272 | 0.44488 |
| QJo, rainbow, ten or higher | 29.628 | 58.135 | -28.507 | 0.50964 |
| QJo, rainbow, nine or lower | 15.202 | 58.135 | -42.933 | 0.26149 |
| QJo, two-tone | 26.407 | 58.135 | -31.728 | 0.45424 |
| QJo, monotone | 29.674 | 58.135 | -28.461 | 0.51043 |
| QJo, paired | 22.998 | 58.135 | -35.137 | 0.39560 |
Does a shared suit matter?
Two kinds of deal exist here. In 84 of them the hands share a suit and KQo holds 74.31%. In 24 they do not, and it holds 73.54%. KQo does better with a shared suit, by 0.77 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | QJo wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 73.046 | 2.524 | 24.430 | 74.308 |
| No shared suit | 24 | 22.22 | 72.335 | 2.407 | 25.258 | 73.538 |
How often this matchup comes up
You will meet this exact matchup 0.0133% of the time in a random heads-up deal: 216 of 1,624,350, counting either seat order.
A worked example
Take a $200 pot built from $100 each. KQo's equity of 74.14% is worth $148.28, a $48.28 edge, and QJo's 25.86% is worth $51.72, which is $48.28 under its stake.
Scaled to 1,000 deals, that is roughly 729 wins for KQo, 246 for QJo and 25 chopped pots.
The same matchup from the other side
If you came looking for QJo against KQo, the numbers are the same with the hands swapped: 25.86% and 74.14%.
Keep exploring
KsQh against QdJc is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 108 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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