77
81.87%
Wins 81.14%, ties 1.47%
22
18.13%
Wins 17.39%, ties 1.47%
77 against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 81.135 | 1.465 | 17.400 | 81.868 |
| 22 | 17.400 | 1.465 | 81.135 | 18.132 |
Here pocket pairs face each other, 77 on one side and 22 on the other. 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 17.39% of the boards outright. The tie share is 1.47%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts 77 at 9 and 22 at 87 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 50,014,000 | 903,000 | 10,726,000 |
| 22 | 10,726,000 | 903,000 | 50,014,000 |
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) |
|---|---|---|---|---|
| 77 | 4.515 | 1.233 | 5.747 | 0.221 |
| 22 | 0.221 | 5.747 | 1.233 | 4.515 |
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
Paired flops are the best for 77 (85.56%); low rainbow flops (nine high or lower) are the worst (76.24%). 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 22 wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 82.398 | 0.864 | 16.738 | 82.830 |
| Rainbow, nine or lower | 5.065 | 75.812 | 0.863 | 23.325 | 76.243 |
| Two-tone | 46.363 | 80.701 | 0.846 | 18.453 | 81.124 |
| Monotone | 5.152 | 75.105 | 3.114 | 21.781 | 76.662 |
| Paired | 17.576 | 83.723 | 3.673 | 12.604 | 85.560 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +15.63 points for 77, from 66.24%, and -32.20 for 22, from 50.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 81.868 | 66.236 | +15.632 | 1.23600 |
| 77, rainbow, ten or higher | 82.830 | 66.236 | +16.594 | 1.25053 |
| 77, rainbow, nine or lower | 76.243 | 66.236 | +10.007 | 1.15108 |
| 77, two-tone | 81.124 | 66.236 | +14.888 | 1.22477 |
| 77, monotone | 76.662 | 66.236 | +10.426 | 1.15741 |
| 77, paired | 85.560 | 66.236 | +19.324 | 1.29174 |
| 22, all flops | 18.132 | 50.334 | -32.202 | 0.36023 |
| 22, rainbow, ten or higher | 17.170 | 50.334 | -33.164 | 0.34112 |
| 22, rainbow, nine or lower | 23.757 | 50.334 | -26.577 | 0.47199 |
| 22, two-tone | 18.876 | 50.334 | -31.458 | 0.37501 |
| 22, monotone | 23.338 | 50.334 | -26.996 | 0.46366 |
| 22, paired | 14.440 | 50.334 | -35.894 | 0.28688 |
Does a shared suit matter?
Of the deals of this matchup, 30 share a suit (77 at 82.00%) and 6 do not (81.20%). 77 does better with a shared suit, by 0.80 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 22 wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 81.265 | 1.473 | 17.262 | 82.002 |
| No shared suit | 6 | 16.67 | 80.482 | 1.428 | 18.090 | 81.196 |
How often this matchup comes up
Counting specific cards, 77 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
Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $163.74 of it, which is $63.74 more than it put in, and 22 takes back $36.26, $63.74 less than it put in.
Run 1,000 deals and the tally comes out near 811 for 77, 174 for 22 and 15 ties.
The same matchup from the other side
If you came looking for 22 against 77, the numbers are the same with the hands swapped: 18.13% and 81.87%.
Keep exploring
Open the calculator with 7s7h against 2d2c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one 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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