KTo
49.53%
Wins 49.09%, ties 0.87%
22
50.47%
Wins 50.04%, ties 0.87%
KTo against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 49.092 | 0.870 | 50.038 | 49.527 |
| 22 | 50.038 | 0.870 | 49.092 | 50.473 |
The first hand is an offsuit hand; the second is 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.
22 leads by less than 1 points of equity, so the result of any one deal is close to a toss-up. 0.87% of boards are ties, so the equity of each hand is its win rate plus half of that.
Among the 169 starting hands, KTo is number 33 and 22 is number 87 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 60,524,000 | 1,073,000 | 61,690,000 |
| 22 | 61,690,000 | 1,073,000 | 60,524,000 |
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) |
|---|---|---|---|---|
| KTo | 0.981 | 2.037 | 1.998 | 1.019 |
| 22 | 1.019 | 1.998 | 2.037 | 0.981 |
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
The flop changes the picture. 22 does best on low rainbow flops (nine high or lower), at 76.03%, and worst on rainbow flops topped by a ten or better, at 44.40%. The overall edge for 22 hides rainbow flops topped by a ten or better and monotone flops, where KTo comes out in front.
| Flop | Share of flops | KTo wins | Ties | 22 wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 55.398 | 0.411 | 44.191 | 55.603 |
| Rainbow, nine or lower | 6.314 | 23.421 | 1.092 | 75.487 | 23.967 |
| Two-tone | 46.485 | 49.146 | 0.532 | 50.322 | 49.412 |
| Monotone | 5.151 | 50.398 | 2.773 | 46.829 | 51.784 |
| Paired | 17.333 | 48.917 | 1.785 | 49.298 | 49.810 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Against one random hand instead, KTo holds 59.74% and 22 holds 50.33%. Facing each other changes that by -10.21 points for KTo and +0.14 points for 22.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 49.527 | 59.739 | -10.212 | 0.82906 |
| KTo, rainbow, ten or higher | 55.603 | 59.739 | -4.136 | 0.93077 |
| KTo, rainbow, nine or lower | 23.967 | 59.739 | -35.772 | 0.40120 |
| KTo, two-tone | 49.412 | 59.739 | -10.327 | 0.82713 |
| KTo, monotone | 51.784 | 59.739 | -7.955 | 0.86684 |
| KTo, paired | 49.810 | 59.739 | -9.929 | 0.83379 |
| 22, all flops | 50.473 | 50.334 | +0.139 | 1.00276 |
| 22, rainbow, ten or higher | 44.397 | 50.334 | -5.937 | 0.88205 |
| 22, rainbow, nine or lower | 76.033 | 50.334 | +25.699 | 1.51057 |
| 22, two-tone | 50.588 | 50.334 | +0.254 | 1.00505 |
| 22, monotone | 48.216 | 50.334 | -2.118 | 0.95792 |
| 22, paired | 50.190 | 50.334 | -0.144 | 0.99714 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 22 has 50.39% equity, and with none in common it has 50.90%. 22 does better with no shared suit, by 0.51 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 22 wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 49.172 | 0.878 | 49.950 | 49.611 |
| No shared suit | 12 | 16.67 | 48.688 | 0.834 | 50.478 | 49.105 |
How often this matchup comes up
KTo 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
Put $100 each into a $200 pot and deal every board once: 22 averages $100.94 back, ahead of its $100 by $0.94, while KTo averages $99.06, short of its $100 by $0.94.
Scaled to 1,000 deals, that is roughly 500 wins for 22, 491 for KTo and 9 chopped pots.
The same matchup from the other side
22 versus KTo is this same page seen from the other hand: 50.47% for 22, 49.53% for KTo.
Keep exploring
KsTh 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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