A5s
49.01%
Wins 48.71%, ties 0.61%
33
50.99%
Wins 50.68%, ties 0.61%
A5s against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 48.707 | 0.612 | 50.681 | 49.013 |
| 33 | 50.681 | 0.612 | 48.707 | 50.987 |
The first hand is a suited hand; the second is 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.
This is close to even money, with 33 a little ahead. Ties are part of the picture: 0.61% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts A5s at 30 and 33 at 66 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 20,016,000 | 252,000 | 20,828,000 |
| 33 | 20,828,000 | 252,000 | 20,016,000 |
Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A5s | 0.961 | 2.053 | 1.973 | 1.040 |
| 33 | 1.040 | 1.973 | 2.053 | 0.961 |
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
Low rainbow flops (nine high or lower) are the best for 33 (56.19%); two-tone flops are the worst (49.97%). A5s takes over on two-tone flops, so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | A5s wins | Ties | 33 wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 48.520 | 0.291 | 51.189 | 48.666 |
| Rainbow, nine or lower | 5.689 | 43.259 | 1.097 | 55.644 | 43.808 |
| Two-tone | 46.545 | 49.831 | 0.403 | 49.766 | 50.033 |
| Monotone | 5.212 | 47.799 | 3.222 | 48.979 | 49.410 |
| Paired | 17.334 | 48.021 | 0.697 | 51.282 | 48.370 |
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
Start from the random-hand figures, 59.92% for A5s and 53.69% for 33. This opponent changes them by -10.91 and -2.70 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 49.013 | 59.923 | -10.910 | 0.81793 |
| A5s, rainbow, ten or higher | 48.666 | 59.923 | -11.257 | 0.81214 |
| A5s, rainbow, nine or lower | 43.808 | 59.923 | -16.115 | 0.73107 |
| A5s, two-tone | 50.033 | 59.923 | -9.890 | 0.83495 |
| A5s, monotone | 49.410 | 59.923 | -10.513 | 0.82456 |
| A5s, paired | 48.370 | 59.923 | -11.553 | 0.80720 |
| 33, all flops | 50.987 | 53.693 | -2.706 | 0.94960 |
| 33, rainbow, ten or higher | 51.334 | 53.693 | -2.359 | 0.95607 |
| 33, rainbow, nine or lower | 56.192 | 53.693 | +2.499 | 1.04654 |
| 33, two-tone | 49.967 | 53.693 | -3.726 | 0.93061 |
| 33, monotone | 50.590 | 53.693 | -3.103 | 0.94221 |
| 33, paired | 51.630 | 53.693 | -2.063 | 0.96158 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 33 has 51.14%; looking only at deals where they do not, 50.83%. 33 does better with a shared suit, by 0.31 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | 33 wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.535 | 0.641 | 50.824 | 48.856 |
| No shared suit | 12 | 50.00 | 48.879 | 0.583 | 50.538 | 49.170 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are A5s against 33, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. 33's equity of 50.99% is worth $101.98, a $1.98 edge, and A5s' 49.01% is worth $98.02, which is $1.98 under its stake.
Run 1,000 deals and the tally comes out near 507 for 33, 487 for A5s and 6 ties.
The same matchup from the other side
The mirror image, 33 against A5s, is 50.99% to 49.01%, and its address redirects to this page.
Keep exploring
Try As5s 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
Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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