44
81.06%
Wins 79.18%, ties 3.77%
22
18.94%
Wins 17.05%, ties 3.77%
44 against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 44 | 79.175 | 3.770 | 17.055 | 81.060 |
| 22 | 17.055 | 3.770 | 79.175 | 18.940 |
Each side holds one of the pocket pairs: 44 and 22. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.
That is a heavy lead: 22 needs the board to help it on most runouts and still falls behind far more often than not. Split pots make up 3.77% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, 44 is number 48 and 22 is number 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 44 | 48,806,000 | 2,324,000 | 10,513,000 |
| 22 | 10,513,000 | 2,324,000 | 48,806,000 |
The board total is exact, 36 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) |
|---|---|---|---|---|
| 44 | 4.280 | 1.263 | 5.863 | 0.234 |
| 22 | 0.234 | 5.863 | 1.263 | 4.280 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for 44 (82.68%); low rainbow flops (nine high or lower) are the worst (75.99%). 44 stays ahead on all five textures.
| Flop | Share of flops | 44 wins | Ties | 22 wins | 44 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 81.668 | 2.014 | 16.318 | 82.675 |
| Rainbow, nine or lower | 5.065 | 74.981 | 2.009 | 23.010 | 75.986 |
| Two-tone | 46.363 | 79.944 | 1.990 | 18.066 | 80.939 |
| Monotone | 5.152 | 73.770 | 4.739 | 21.491 | 76.140 |
| Paired | 17.576 | 76.274 | 11.273 | 12.453 | 81.910 |
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
How much does the opponent matter? Compared with its random-hand 57.02%, 44 changes by +24.04 points, and 22, from 50.33%, by -31.39.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 44, all flops | 81.060 | 57.023 | +24.037 | 1.42153 |
| 44, rainbow, ten or higher | 82.675 | 57.023 | +25.652 | 1.44985 |
| 44, rainbow, nine or lower | 75.986 | 57.023 | +18.963 | 1.33255 |
| 44, two-tone | 80.939 | 57.023 | +23.916 | 1.41941 |
| 44, monotone | 76.140 | 57.023 | +19.117 | 1.33525 |
| 44, paired | 81.910 | 57.023 | +24.887 | 1.43644 |
| 22, all flops | 18.940 | 50.334 | -31.394 | 0.37629 |
| 22, rainbow, ten or higher | 17.325 | 50.334 | -33.009 | 0.34420 |
| 22, rainbow, nine or lower | 24.014 | 50.334 | -26.320 | 0.47709 |
| 22, two-tone | 19.061 | 50.334 | -31.273 | 0.37869 |
| 22, monotone | 23.860 | 50.334 | -26.474 | 0.47403 |
| 22, paired | 18.090 | 50.334 | -32.244 | 0.35940 |
Does a shared suit matter?
Of the deals of this matchup, 30 share a suit (44 at 81.20%) and 6 do not (80.38%). 44 does better with a shared suit, by 0.82 points.
| Deals | Specific deals | Share of deals | 44 wins | Ties | 22 wins | 44 equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 79.307 | 3.778 | 16.915 | 81.196 |
| No shared suit | 6 | 16.67 | 78.516 | 3.733 | 17.751 | 80.383 |
How often this matchup comes up
Counting specific cards, 44 against 22 appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 44's average share is $162.12 (a gain of $62.12) and 22's is $37.88 (a loss of $62.12).
Run 1,000 deals and the tally comes out near 792 for 44, 170 for 22 and 38 ties.
The same matchup from the other side
22 versus 44 is this same page seen from the other hand: 18.94% for 22, 81.06% for 44.
Keep exploring
4s4h 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of 44 against 22, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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