A6s
48.37%
Wins 48.07%, ties 0.58%
33
51.63%
Wins 51.35%, ties 0.58%
A6s against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 48.074 | 0.584 | 51.342 | 48.366 |
| 33 | 51.342 | 0.584 | 48.074 | 51.634 |
A6s is a suited hand and 33 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. A split pot comes up on 0.58% of boards, so the wins and the equity differ by half of that.
A6s ranks number 31 of 169 starting hands, and 33 ranks number 66, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 19,756,000 | 240,000 | 21,099,000 |
| 33 | 21,099,000 | 240,000 | 19,756,000 |
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) |
|---|---|---|---|---|
| A6s | 0.937 | 2.080 | 1.948 | 1.068 |
| 33 | 1.068 | 1.948 | 2.080 | 0.937 |
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
Across the five flop textures 33's equity moves by 7.54 points, from 50.75% on two-tone flops to 58.29% on low rainbow flops (nine high or lower). 33 stays ahead on all five textures.
| Flop | Share of flops | A6s wins | Ties | 33 wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 47.969 | 0.265 | 51.766 | 48.101 |
| Rainbow, nine or lower | 5.689 | 41.203 | 1.017 | 57.780 | 41.712 |
| Two-tone | 46.545 | 49.067 | 0.370 | 50.563 | 49.252 |
| Monotone | 5.212 | 47.162 | 3.197 | 49.641 | 48.760 |
| Paired | 17.334 | 48.089 | 0.693 | 51.218 | 48.435 |
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, A6s changes by -11.54 points (baseline 59.91%) and 33 by -2.06 points (baseline 53.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 48.366 | 59.906 | -11.540 | 0.80736 |
| A6s, rainbow, ten or higher | 48.101 | 59.906 | -11.805 | 0.80294 |
| A6s, rainbow, nine or lower | 41.712 | 59.906 | -18.194 | 0.69629 |
| A6s, two-tone | 49.252 | 59.906 | -10.654 | 0.82215 |
| A6s, monotone | 48.760 | 59.906 | -11.146 | 0.81394 |
| A6s, paired | 48.435 | 59.906 | -11.471 | 0.80852 |
| 33, all flops | 51.634 | 53.693 | -2.059 | 0.96165 |
| 33, rainbow, ten or higher | 51.899 | 53.693 | -1.794 | 0.96659 |
| 33, rainbow, nine or lower | 58.288 | 53.693 | +4.595 | 1.08558 |
| 33, two-tone | 50.748 | 53.693 | -2.945 | 0.94515 |
| 33, monotone | 51.240 | 53.693 | -2.453 | 0.95431 |
| 33, paired | 51.565 | 53.693 | -2.128 | 0.96037 |
Does a shared suit matter?
Split by suits, the deals give 33 51.82% when the hands overlap in a suit and 51.45% when they do not. 33 does better with a shared suit, by 0.37 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 33 wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 47.870 | 0.612 | 51.518 | 48.176 |
| No shared suit | 12 | 50.00 | 48.277 | 0.556 | 51.167 | 48.555 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 33 is worth $103.26 on average (+$3.26); A6s is worth $96.74 (-$3.26).
Think in thousands: about 513 of 1,000 go to 33, about 481 go to A6s, and about 6 are chopped.
The same matchup from the other side
One page covers both views. From 33's side the equity is 51.63%, and from A6s' side it is 48.37%.
Keep exploring
Open the calculator with As6s against 3h3d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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