55
81.57%
Wins 80.17%, ties 2.80%
22
18.43%
Wins 17.03%, ties 2.80%
55 against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 80.171 | 2.803 | 17.026 | 81.573 |
| 22 | 17.026 | 2.803 | 80.171 | 18.427 |
Each side holds one of the pocket pairs: 55 and 22. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.
This is one of the lopsided matchups: 22 wins only 17.03% of the boards outright. Of every 100 boards, about 2.80 are split pots, and the equity figures already include them.
By strength against a random hand, 55 holds place 27 of 169 and 22 holds place 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 49,420,000 | 1,728,000 | 10,495,000 |
| 22 | 10,495,000 | 1,728,000 | 49,420,000 |
36 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) |
|---|---|---|---|---|
| 55 | 4.427 | 1.247 | 5.873 | 0.226 |
| 22 | 0.226 | 5.873 | 1.247 | 4.427 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: 55 holds 83.51% on paired flops and 76.54% on low rainbow flops (nine high or lower). 55 stays ahead on all five textures.
| Flop | Share of flops | 55 wins | Ties | 22 wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 82.107 | 1.575 | 16.318 | 82.894 |
| Rainbow, nine or lower | 5.065 | 75.873 | 1.339 | 22.788 | 76.542 |
| Two-tone | 46.363 | 80.454 | 1.515 | 18.031 | 81.212 |
| Monotone | 5.152 | 74.542 | 3.993 | 21.465 | 76.539 |
| Paired | 17.576 | 79.468 | 8.079 | 12.453 | 83.507 |
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 60.33%, 55 changes by +21.24 points, and 22, from 50.33%, by -31.90.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 81.573 | 60.325 | +21.248 | 1.35223 |
| 55, rainbow, ten or higher | 82.894 | 60.325 | +22.569 | 1.37412 |
| 55, rainbow, nine or lower | 76.542 | 60.325 | +16.217 | 1.26883 |
| 55, two-tone | 81.212 | 60.325 | +20.887 | 1.34624 |
| 55, monotone | 76.539 | 60.325 | +16.214 | 1.26878 |
| 55, paired | 83.507 | 60.325 | +23.182 | 1.38429 |
| 22, all flops | 18.427 | 50.334 | -31.907 | 0.36609 |
| 22, rainbow, ten or higher | 17.106 | 50.334 | -33.228 | 0.33985 |
| 22, rainbow, nine or lower | 23.458 | 50.334 | -26.876 | 0.46605 |
| 22, two-tone | 18.788 | 50.334 | -31.546 | 0.37327 |
| 22, monotone | 23.461 | 50.334 | -26.873 | 0.46611 |
| 22, paired | 16.493 | 50.334 | -33.841 | 0.32767 |
Does a shared suit matter?
Two kinds of deal exist here. In 30 of them the hands share a suit and 55 holds 81.71%. In 6 they do not, and it holds 80.89%. 55 does better with a shared suit, by 0.82 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | 22 wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.304 | 2.810 | 16.886 | 81.709 |
| No shared suit | 6 | 16.67 | 79.511 | 2.766 | 17.723 | 80.894 |
How often this matchup comes up
This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 55 is worth $163.14 on average (+$63.14); 22 is worth $36.86 (-$63.14).
Scaled to 1,000 deals, that is roughly 802 wins for 55, 170 for 22 and 28 chopped pots.
The same matchup from the other side
Swap the hands and you get 22 with 18.43% against 55 with 81.57%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try 5s5h against 2d2c in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 36 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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