22
49.10%
Wins 47.53%, ties 3.14%
64s
50.90%
Wins 49.33%, ties 3.14%
22 against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 22 | 47.530 | 3.135 | 49.335 | 49.098 |
| 64s | 49.335 | 3.135 | 47.530 | 50.902 |
Here a pocket pair (22) meets a suited hand (64s). One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is close to even money, with 64s a little ahead. A split pot comes up on 3.14% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, 22 is number 87 of the 169 starting hands and 64s is number 138.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 22 | 19,533,000 | 1,288,000 | 20,274,000 |
| 64s | 20,274,000 | 1,288,000 | 19,533,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| 22 | 0.965 | 2.104 | 2.027 | 1.037 |
| 64s | 1.037 | 2.027 | 2.104 | 0.965 |
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
The flop changes the picture. 64s does best on low rainbow flops (nine high or lower), at 62.22%, and worst on paired flops, at 47.77%. Rainbow flops topped by a ten or better and paired flops favor 22, the hand that is behind overall.
| Flop | Share of flops | 22 wins | Ties | 64s wins | 22 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 51.072 | 1.734 | 47.194 | 51.939 |
| Rainbow, nine or lower | 5.065 | 37.030 | 1.511 | 61.459 | 37.785 |
| Two-tone | 46.545 | 46.816 | 1.611 | 51.573 | 47.622 |
| Monotone | 5.212 | 46.380 | 4.791 | 48.829 | 48.775 |
| Paired | 17.334 | 47.582 | 9.293 | 43.125 | 52.229 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -1.23 points for 22, from 50.33%, and +9.57 for 64s, from 41.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 22, all flops | 49.098 | 50.334 | -1.236 | 0.97544 |
| 22, rainbow, ten or higher | 51.939 | 50.334 | +1.605 | 1.03189 |
| 22, rainbow, nine or lower | 37.785 | 50.334 | -12.549 | 0.75069 |
| 22, two-tone | 47.622 | 50.334 | -2.712 | 0.94612 |
| 22, monotone | 48.775 | 50.334 | -1.559 | 0.96903 |
| 22, paired | 52.229 | 50.334 | +1.895 | 1.03765 |
| 64s, all flops | 50.902 | 41.333 | +9.569 | 1.23151 |
| 64s, rainbow, ten or higher | 48.061 | 41.333 | +6.728 | 1.16278 |
| 64s, rainbow, nine or lower | 62.215 | 41.333 | +20.882 | 1.50521 |
| 64s, two-tone | 52.378 | 41.333 | +11.045 | 1.26722 |
| 64s, monotone | 51.225 | 41.333 | +9.892 | 1.23932 |
| 64s, paired | 47.771 | 41.333 | +6.438 | 1.15576 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and 64s holds 50.76%. In 12 they do not, and it holds 51.05%. 64s does better with no shared suit, by 0.29 points.
| Deals | Specific deals | Share of deals | 22 wins | Ties | 64s wins | 22 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 47.665 | 3.154 | 49.181 | 49.242 |
| No shared suit | 12 | 50.00 | 47.396 | 3.116 | 49.488 | 48.954 |
How often this matchup comes up
Counting specific cards, 22 against 64s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 64s is worth $101.80 on average (+$1.80); 22 is worth $98.20 (-$1.80).
Run 1,000 deals and the tally comes out near 494 for 64s, 475 for 22 and 31 ties.
The same matchup from the other side
64s versus 22 is this same page seen from the other hand: 50.90% for 64s, 49.10% for 22.
Keep exploring
2s2h against 6d4d 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
Each figure is a complete count over boards. Take the 24 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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