22
47.98%
Wins 46.43%, ties 3.10%
65s
52.02%
Wins 50.47%, ties 3.10%
22 against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 22 | 46.428 | 3.101 | 50.471 | 47.979 |
| 65s | 50.471 | 3.101 | 46.428 | 52.021 |
The matchup pits a pocket pair against a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
With only 4.04 points between them, the board decides this matchup far more than the cards in hand. 3.10% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, 22 sits at number 87 of 169 starting hands and 65s at number 128 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 22 | 19,080,000 | 1,274,000 | 20,741,000 |
| 65s | 20,741,000 | 1,274,000 | 19,080,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| 22 | 0.922 | 2.154 | 1.981 | 1.084 |
| 65s | 1.084 | 1.981 | 2.154 | 0.922 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
65s prefers low rainbow flops (nine high or lower), where it holds 64.99%, and likes paired flops least, where it holds 48.52%. 22 is ahead on rainbow flops topped by a ten or better and paired flops, even though it trails 65s when every flop is counted.
| Flop | Share of flops | 22 wins | Ties | 65s wins | 22 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 50.064 | 1.734 | 48.202 | 50.931 |
| Rainbow, nine or lower | 5.065 | 34.330 | 1.353 | 64.317 | 35.007 |
| Two-tone | 46.545 | 45.655 | 1.589 | 52.756 | 46.449 |
| Monotone | 5.212 | 45.568 | 4.770 | 49.662 | 47.953 |
| Paired | 17.334 | 46.878 | 9.207 | 43.915 | 51.481 |
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
How much does the opponent matter? Compared with its random-hand 50.33%, 22 changes by -2.35 points, and 65s, from 43.13%, by +8.89.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 22, all flops | 47.979 | 50.334 | -2.355 | 0.95321 |
| 22, rainbow, ten or higher | 50.931 | 50.334 | +0.597 | 1.01186 |
| 22, rainbow, nine or lower | 35.007 | 50.334 | -15.327 | 0.69549 |
| 22, two-tone | 46.449 | 50.334 | -3.885 | 0.92282 |
| 22, monotone | 47.953 | 50.334 | -2.381 | 0.95270 |
| 22, paired | 51.481 | 50.334 | +1.147 | 1.02279 |
| 65s, all flops | 52.021 | 43.133 | +8.888 | 1.20606 |
| 65s, rainbow, ten or higher | 49.069 | 43.133 | +5.936 | 1.13762 |
| 65s, rainbow, nine or lower | 64.993 | 43.133 | +21.860 | 1.50680 |
| 65s, two-tone | 53.551 | 43.133 | +10.418 | 1.24153 |
| 65s, monotone | 52.047 | 43.133 | +8.914 | 1.20666 |
| 65s, paired | 48.519 | 43.133 | +5.386 | 1.12487 |
Does a shared suit matter?
Split by suits, the deals give 65s 51.89% when the hands overlap in a suit and 52.15% when they do not. 65s does better with no shared suit, by 0.26 points.
| Deals | Specific deals | Share of deals | 22 wins | Ties | 65s wins | 22 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 46.547 | 3.119 | 50.334 | 48.107 |
| No shared suit | 12 | 50.00 | 46.309 | 3.082 | 50.609 | 47.850 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are 22 in one seat and 65s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 65s is worth $104.04 on average (+$4.04); 22 is worth $95.96 (-$4.04).
Out of 1,000 deals you should see around 505 outright wins for 65s, 464 for 22, and 31 split pots.
The same matchup from the other side
65s against 22 adds nothing new: it is 52.02% for 65s and 47.98% for 22, the same figures reversed.
Keep exploring
Open the calculator with 2s2h against 6d5d 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
Nothing here is simulated. The 24 deals of 22 against 65s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session