A6s
49.49%
Wins 49.17%, ties 0.65%
22
50.51%
Wins 50.18%, ties 0.65%
A6s against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 49.170 | 0.645 | 50.185 | 49.492 |
| 22 | 50.185 | 0.645 | 49.170 | 50.508 |
We compare a suited hand with a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
That is a slim edge: neither hand is far ahead. 0.65% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, A6s is number 31 of the 169 starting hands and 22 is number 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 20,207,000 | 265,000 | 20,624,000 |
| 22 | 20,624,000 | 265,000 | 20,207,000 |
24 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) |
|---|---|---|---|---|
| A6s | 0.980 | 2.034 | 1.993 | 1.021 |
| 22 | 1.021 | 1.993 | 2.034 | 0.980 |
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
22 prefers low rainbow flops (nine high or lower), where it holds 55.72%, and likes paired flops least, where it holds 49.31%. Watch for two-tone flops and paired flops: on those flops A6s holds the better equity.
| Flop | Share of flops | A6s wins | Ties | 22 wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 48.528 | 0.265 | 51.207 | 48.660 |
| Rainbow, nine or lower | 5.689 | 43.700 | 1.161 | 55.139 | 44.280 |
| Two-tone | 46.545 | 49.919 | 0.394 | 49.687 | 50.116 |
| Monotone | 5.212 | 47.774 | 3.753 | 48.473 | 49.651 |
| Paired | 17.334 | 50.307 | 0.766 | 48.927 | 50.690 |
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
Each hand has a baseline against a random hand: 59.91% for A6s, 50.33% for 22. Here the change is -10.42 and +0.18 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 49.492 | 59.906 | -10.414 | 0.82616 |
| A6s, rainbow, ten or higher | 48.660 | 59.906 | -11.246 | 0.81227 |
| A6s, rainbow, nine or lower | 44.280 | 59.906 | -15.626 | 0.73916 |
| A6s, two-tone | 50.116 | 59.906 | -9.790 | 0.83658 |
| A6s, monotone | 49.651 | 59.906 | -10.255 | 0.82882 |
| A6s, paired | 50.690 | 59.906 | -9.216 | 0.84616 |
| 22, all flops | 50.508 | 50.334 | +0.174 | 1.00346 |
| 22, rainbow, ten or higher | 51.340 | 50.334 | +1.006 | 1.01999 |
| 22, rainbow, nine or lower | 55.720 | 50.334 | +5.386 | 1.10701 |
| 22, two-tone | 49.884 | 50.334 | -0.450 | 0.99106 |
| 22, monotone | 50.349 | 50.334 | +0.015 | 1.00030 |
| 22, paired | 49.310 | 50.334 | -1.024 | 0.97966 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and 22 holds 50.71%. In 12 they do not, and it holds 50.31%. 22 does better with a shared suit, by 0.40 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 22 wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.963 | 0.664 | 50.373 | 49.295 |
| No shared suit | 12 | 50.00 | 49.376 | 0.626 | 49.998 | 49.689 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are A6s in one seat and 22 in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 22 takes back $101.02 of it, which is $1.02 more than it put in, and A6s takes back $98.98, $1.02 less than it put in.
A thousand deals look like this: 22 takes 502, A6s takes 492, 6 are ties.
The same matchup from the other side
22 versus A6s is this same page seen from the other hand: 50.51% for 22, 49.49% for A6s.
Keep exploring
The calculator link fills in As6s against 2h2d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
We counted every case. Each suit pattern of the 24 specific A6s against 22 deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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