KQo
48.83%
Wins 48.38%, ties 0.90%
22
51.17%
Wins 50.72%, ties 0.90%
KQo against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 48.376 | 0.897 | 50.727 | 48.825 |
| 22 | 50.727 | 0.897 | 48.376 | 51.175 |
The matchup pits an offsuit hand against a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
This is close to even money, with 22 a little ahead. Ties are 0.90% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, KQo is number 23 and 22 is number 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 59,641,000 | 1,106,000 | 62,539,000 |
| 22 | 62,539,000 | 1,106,000 | 59,641,000 |
The board total is exact, 72 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KQo | 0.954 | 2.067 | 1.971 | 1.048 |
| 22 | 1.048 | 1.971 | 2.067 | 0.954 |
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, 22 peaks at 78.39% on low rainbow flops (nine high or lower) and bottoms out at 44.83% on rainbow flops topped by a ten or better. On rainbow flops topped by a ten or better and monotone flops the numbers flip and KQo is the one ahead.
| Flop | Share of flops | KQo wins | Ties | 22 wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 54.993 | 0.363 | 44.644 | 55.175 |
| Rainbow, nine or lower | 6.314 | 20.886 | 1.456 | 77.658 | 21.614 |
| Two-tone | 46.485 | 48.341 | 0.566 | 51.093 | 48.624 |
| Monotone | 5.151 | 49.821 | 2.796 | 47.383 | 51.219 |
| Paired | 17.333 | 48.622 | 1.777 | 49.601 | 49.510 |
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
A random hand would give KQo 61.46% and 22 50.33%. Against each other the change is -12.63 points for KQo and +0.84 for 22.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 48.825 | 61.456 | -12.631 | 0.79447 |
| KQo, rainbow, ten or higher | 55.175 | 61.456 | -6.281 | 0.89780 |
| KQo, rainbow, nine or lower | 21.614 | 61.456 | -39.842 | 0.35170 |
| KQo, two-tone | 48.624 | 61.456 | -12.832 | 0.79120 |
| KQo, monotone | 51.219 | 61.456 | -10.237 | 0.83343 |
| KQo, paired | 49.510 | 61.456 | -11.946 | 0.80562 |
| 22, all flops | 51.175 | 50.334 | +0.841 | 1.01671 |
| 22, rainbow, ten or higher | 44.825 | 50.334 | -5.509 | 0.89055 |
| 22, rainbow, nine or lower | 78.386 | 50.334 | +28.052 | 1.55732 |
| 22, two-tone | 51.376 | 50.334 | +1.042 | 1.02070 |
| 22, monotone | 48.781 | 50.334 | -1.553 | 0.96915 |
| 22, paired | 50.490 | 50.334 | +0.156 | 1.00310 |
Does a shared suit matter?
When the hands share a suit, 22 holds 51.09%; when they do not, it holds 51.59%. 22 does better with no shared suit, by 0.50 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 22 wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 48.455 | 0.904 | 50.641 | 48.907 |
| No shared suit | 12 | 16.67 | 47.982 | 0.861 | 51.157 | 48.413 |
How often this matchup comes up
KQo against 22 is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%.
A worked example
With $100 from each side, the $200 pot is split on average as $102.34 for 22 and $97.66 for KQo; the first side gains $2.34 per all-in and the second gives up $2.34.
Per 1,000 deals: 22 wins about 507, KQo wins about 484, and about 9 end in a split pot.
The same matchup from the other side
Read it from the other side: 22 against KQo is the same matchup with the numbers swapped, so 22 holds 51.17% and KQo holds 48.83%. That address sends you back to this page.
Keep exploring
KsQh against 2d2c 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
Method: exact enumeration. The 72 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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