A4s
48.69%
Wins 48.38%, ties 0.62%
33
51.31%
Wins 51.00%, ties 0.62%
A4s against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 48.379 | 0.624 | 50.997 | 48.691 |
| 33 | 50.997 | 0.624 | 48.379 | 51.309 |
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.
With only 2.62 points between them, the board decides this matchup far more than the cards in hand. A split pot comes up on 0.62% of boards, so the wins and the equity differ by half of that.
Place 35 of 169 belongs to A4s and place 66 belongs to 33 in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 19,881,000 | 256,000 | 20,957,000 |
| 33 | 20,957,000 | 256,000 | 19,881,000 |
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) |
|---|---|---|---|---|
| A4s | 0.949 | 2.067 | 1.961 | 1.054 |
| 33 | 1.054 | 1.961 | 2.067 | 0.949 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
By flop texture, 33's equity runs from 50.32% on two-tone flops up to 57.65% on low rainbow flops (nine high or lower). 33 stays ahead on all five textures.
| Flop | Share of flops | A4s wins | Ties | 33 wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 48.367 | 0.291 | 51.342 | 48.513 |
| Rainbow, nine or lower | 5.689 | 41.759 | 1.184 | 57.057 | 42.351 |
| Two-tone | 46.545 | 49.474 | 0.415 | 50.111 | 49.681 |
| Monotone | 5.212 | 47.560 | 3.227 | 49.213 | 49.173 |
| Paired | 17.334 | 47.877 | 0.701 | 51.422 | 48.228 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Relative to a random opponent, A4s changes by -10.34 points (baseline 59.03%) and 33 by -2.38 points (baseline 53.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 48.691 | 59.034 | -10.343 | 0.82480 |
| A4s, rainbow, ten or higher | 48.513 | 59.034 | -10.521 | 0.82178 |
| A4s, rainbow, nine or lower | 42.351 | 59.034 | -16.683 | 0.71740 |
| A4s, two-tone | 49.681 | 59.034 | -9.353 | 0.84157 |
| A4s, monotone | 49.173 | 59.034 | -9.861 | 0.83296 |
| A4s, paired | 48.228 | 59.034 | -10.806 | 0.81695 |
| 33, all flops | 51.309 | 53.693 | -2.384 | 0.95560 |
| 33, rainbow, ten or higher | 51.487 | 53.693 | -2.206 | 0.95891 |
| 33, rainbow, nine or lower | 57.649 | 53.693 | +3.956 | 1.07368 |
| 33, two-tone | 50.319 | 53.693 | -3.374 | 0.93716 |
| 33, monotone | 50.827 | 53.693 | -2.866 | 0.94662 |
| 33, paired | 51.772 | 53.693 | -1.921 | 0.96422 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (33 at 51.47%) and 12 do not (51.15%). 33 does better with a shared suit, by 0.32 points.
| Deals | Specific deals | Share of deals | A4s wins | Ties | 33 wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.204 | 0.653 | 51.143 | 48.530 |
| No shared suit | 12 | 50.00 | 48.555 | 0.595 | 50.850 | 48.852 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are A4s against 33, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: 33 averages $102.62 back, ahead of its $100 by $2.62, while A4s averages $97.38, short of its $100 by $2.62.
Run 1,000 deals and the tally comes out near 510 for 33, 484 for A4s and 6 ties.
The same matchup from the other side
If you came looking for 33 against A4s, the numbers are the same with the hands swapped: 51.31% and 48.69%.
Keep exploring
The calculator link fills in As4s against 3h3d, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
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