A8s
49.43%
Wins 49.15%, ties 0.57%
33
50.57%
Wins 50.28%, ties 0.57%
A8s against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 49.150 | 0.566 | 50.284 | 49.433 |
| 33 | 50.284 | 0.566 | 49.150 | 50.567 |
The matchup pits a suited hand against 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.
33 leads by less than 2 points of equity, so the result of any one deal is close to a toss-up. Ties are part of the picture: 0.57% of boards end in a split pot, and each side counts that as half a win.
Place 21 of 169 belongs to A8s and place 66 belongs to 33 in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 20,198,000 | 233,000 | 20,664,000 |
| 33 | 20,664,000 | 233,000 | 20,198,000 |
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) |
|---|---|---|---|---|
| A8s | 0.978 | 2.035 | 1.989 | 1.023 |
| 33 | 1.023 | 1.989 | 2.035 | 0.978 |
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 49.58% on two-tone flops up to 56.39% on low rainbow flops (nine high or lower). Two-tone flops favor A8s, the hand that is behind overall.
| Flop | Share of flops | A8s wins | Ties | 33 wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 49.121 | 0.247 | 50.632 | 49.244 |
| Rainbow, nine or lower | 5.689 | 43.125 | 0.966 | 55.909 | 43.608 |
| Two-tone | 46.545 | 50.247 | 0.352 | 49.401 | 50.423 |
| Monotone | 5.212 | 47.967 | 3.189 | 48.844 | 49.562 |
| Paired | 17.334 | 48.580 | 0.685 | 50.735 | 48.922 |
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
Start from the random-hand figures, 61.94% for A8s and 53.69% for 33. This opponent changes them by -12.51 and -3.12 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 49.433 | 61.944 | -12.511 | 0.79803 |
| A8s, rainbow, ten or higher | 49.244 | 61.944 | -12.700 | 0.79498 |
| A8s, rainbow, nine or lower | 43.608 | 61.944 | -18.336 | 0.70399 |
| A8s, two-tone | 50.423 | 61.944 | -11.521 | 0.81401 |
| A8s, monotone | 49.562 | 61.944 | -12.382 | 0.80011 |
| A8s, paired | 48.922 | 61.944 | -13.022 | 0.78978 |
| 33, all flops | 50.567 | 53.693 | -3.126 | 0.94178 |
| 33, rainbow, ten or higher | 50.756 | 53.693 | -2.937 | 0.94530 |
| 33, rainbow, nine or lower | 56.392 | 53.693 | +2.699 | 1.05027 |
| 33, two-tone | 49.577 | 53.693 | -4.116 | 0.92334 |
| 33, monotone | 50.438 | 53.693 | -3.255 | 0.93938 |
| 33, paired | 51.078 | 53.693 | -2.615 | 0.95130 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (33 at 50.76%) and 12 do not (50.38%). 33 does better with a shared suit, by 0.38 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | 33 wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.948 | 0.595 | 50.457 | 49.245 |
| No shared suit | 12 | 50.00 | 49.352 | 0.537 | 50.111 | 49.621 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 33 takes back $101.14 of it, which is $1.14 more than it put in, and A8s takes back $98.86, $1.14 less than it put in.
In 1,000 deals of exactly this matchup, expect about 503 won outright by 33, about 491 won outright by A8s and about 6 split.
The same matchup from the other side
The mirror image, 33 against A8s, is 50.57% to 49.43%, and its address redirects to this page.
Keep exploring
Try As8s 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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