33
80.43%
Wins 77.94%, ties 4.98%
22
19.57%
Wins 17.08%, ties 4.98%
33 against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 33 | 77.942 | 4.975 | 17.083 | 80.429 |
| 22 | 17.083 | 4.975 | 77.942 | 19.571 |
33 meets 22, and both are pocket pairs. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.
This is one of the lopsided matchups: 22 wins only 17.08% of the boards outright. About 4.98% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
By strength against a random hand, 33 holds place 66 of 169 and 22 holds place 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 33 | 48,046,000 | 3,067,000 | 10,530,000 |
| 22 | 10,530,000 | 3,067,000 | 48,046,000 |
The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| 33 | 4.110 | 1.283 | 5.854 | 0.243 |
| 22 | 0.243 | 5.854 | 1.283 | 4.110 |
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
Across the five flop textures 33's equity moves by 7.14 points, from 75.28% on low rainbow flops (nine high or lower) to 82.42% on rainbow flops topped by a ten or better. 33 stays ahead on all five textures.
| Flop | Share of flops | 33 wins | Ties | 22 wins | 33 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 81.155 | 2.527 | 16.318 | 82.418 |
| Rainbow, nine or lower | 5.065 | 73.791 | 2.978 | 23.231 | 75.280 |
| Two-tone | 46.363 | 79.324 | 2.575 | 18.101 | 80.612 |
| Monotone | 5.152 | 72.698 | 5.785 | 21.517 | 75.590 |
| Paired | 17.576 | 72.306 | 15.241 | 12.453 | 79.926 |
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
How much does the opponent matter? Compared with its random-hand 53.69%, 33 changes by +26.74 points, and 22, from 50.33%, by -30.76.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 33, all flops | 80.429 | 53.693 | +26.736 | 1.49794 |
| 33, rainbow, ten or higher | 82.418 | 53.693 | +28.725 | 1.53499 |
| 33, rainbow, nine or lower | 75.280 | 53.693 | +21.587 | 1.40204 |
| 33, two-tone | 80.612 | 53.693 | +26.919 | 1.50135 |
| 33, monotone | 75.590 | 53.693 | +21.897 | 1.40782 |
| 33, paired | 79.926 | 53.693 | +26.233 | 1.48857 |
| 22, all flops | 19.571 | 50.334 | -30.763 | 0.38882 |
| 22, rainbow, ten or higher | 17.582 | 50.334 | -32.752 | 0.34931 |
| 22, rainbow, nine or lower | 24.720 | 50.334 | -25.614 | 0.49112 |
| 22, two-tone | 19.388 | 50.334 | -30.946 | 0.38519 |
| 22, monotone | 24.410 | 50.334 | -25.924 | 0.48496 |
| 22, paired | 20.074 | 50.334 | -30.260 | 0.39882 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 33 has 80.57% equity, and with none in common it has 79.75%. 33 does better with a shared suit, by 0.82 points.
| Deals | Specific deals | Share of deals | 33 wins | Ties | 22 wins | 33 equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 78.074 | 4.982 | 16.944 | 80.565 |
| No shared suit | 6 | 16.67 | 77.284 | 4.937 | 17.779 | 79.753 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are 33 in one seat and 22 in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
With $100 from each side, the $200 pot is split on average as $160.86 for 33 and $39.14 for 22; the first side gains $60.86 per all-in and the second gives up $60.86.
In 1,000 deals of exactly this matchup, expect about 779 won outright by 33, about 171 won outright by 22 and about 50 split.
The same matchup from the other side
The mirror image, 22 against 33, is 19.57% to 80.43%, and its address redirects to this page.
Keep exploring
Try 3s3h 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 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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