A2s
34.65%
Wins 34.33%, ties 0.65%
33
65.35%
Wins 65.02%, ties 0.65%
A2s against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 34.326 | 0.647 | 65.027 | 34.650 |
| 33 | 65.027 | 0.647 | 34.326 | 65.350 |
We compare a suited hand with a pocket pair. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
33 is well ahead, and A2s needs a specific kind of board to catch up. Of every 100 boards, about 0.65 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, A2s is number 46 and 33 is number 66.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 14,106,000 | 266,000 | 26,723,000 |
| 33 | 26,723,000 | 266,000 | 14,106,000 |
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) |
|---|---|---|---|---|
| A2s | 0.530 | 2.913 | 1.538 | 1.886 |
| 33 | 1.886 | 1.538 | 2.913 | 0.530 |
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
If you know the kind of flop that came, the numbers shift: 33 holds 80.73% on low rainbow flops (nine high or lower) and 60.95% on paired flops. 33 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A2s wins | Ties | 33 wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 34.077 | 0.291 | 65.632 | 34.222 |
| Rainbow, nine or lower | 5.689 | 18.609 | 1.316 | 80.075 | 19.267 |
| Two-tone | 46.545 | 34.543 | 0.433 | 65.024 | 34.759 |
| Monotone | 5.212 | 36.270 | 3.237 | 60.493 | 37.888 |
| Paired | 17.334 | 38.683 | 0.738 | 60.579 | 39.052 |
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
Start from the random-hand figures, 57.38% for A2s and 53.69% for 33. This opponent changes them by -22.73 and +11.66 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 34.650 | 57.379 | -22.729 | 0.60388 |
| A2s, rainbow, ten or higher | 34.222 | 57.379 | -23.157 | 0.59642 |
| A2s, rainbow, nine or lower | 19.267 | 57.379 | -38.112 | 0.33578 |
| A2s, two-tone | 34.759 | 57.379 | -22.620 | 0.60578 |
| A2s, monotone | 37.888 | 57.379 | -19.491 | 0.66031 |
| A2s, paired | 39.052 | 57.379 | -18.327 | 0.68060 |
| 33, all flops | 65.350 | 53.693 | +11.657 | 1.21710 |
| 33, rainbow, ten or higher | 65.778 | 53.693 | +12.085 | 1.22508 |
| 33, rainbow, nine or lower | 80.733 | 53.693 | +27.040 | 1.50360 |
| 33, two-tone | 65.241 | 53.693 | +11.548 | 1.21507 |
| 33, monotone | 62.112 | 53.693 | +8.419 | 1.15680 |
| 33, paired | 60.948 | 53.693 | +7.255 | 1.13512 |
Does a shared suit matter?
When the hands share a suit, 33 holds 65.64%; when they do not, it holds 65.06%. 33 does better with a shared suit, by 0.58 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | 33 wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 34.025 | 0.676 | 65.299 | 34.363 |
| No shared suit | 12 | 50.00 | 34.628 | 0.617 | 64.755 | 34.937 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are A2s against 33, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 33 takes back $130.70 of it, which is $30.70 more than it put in, and A2s takes back $69.30, $30.70 less than it put in.
Run 1,000 deals and the tally comes out near 650 for 33, 343 for A2s and 7 ties.
The same matchup from the other side
33 versus A2s is this same page seen from the other hand: 65.35% for 33, 34.65% for A2s.
Keep exploring
Try As2s against 3h3d 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
We counted every case. Each suit pattern of the 24 specific A2s against 33 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.
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