A6s
47.35%
Wins 47.08%, ties 0.53%
44
52.65%
Wins 52.39%, ties 0.53%
A6s against 44: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 47.082 | 0.533 | 52.385 | 47.349 |
| 44 | 52.385 | 0.533 | 47.082 | 52.651 |
The first hand is a suited hand; the second is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
With only 5.30 points between them, the board decides this matchup far more than the cards in hand. 0.53% of boards are ties, so the equity of each hand is its win rate plus half of that.
A6s ranks number 31 of 169 starting hands, and 44 ranks number 48, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 19,348,000 | 219,000 | 21,528,000 |
| 44 | 21,528,000 | 219,000 | 19,348,000 |
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) |
|---|---|---|---|---|
| A6s | 0.899 | 2.124 | 1.909 | 1.112 |
| 44 | 1.112 | 1.909 | 2.124 | 0.899 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Across the five flop textures 44's equity moves by 9.12 points, from 51.53% on two-tone flops to 60.65% on low rainbow flops (nine high or lower). 44 stays ahead on all five textures.
| Flop | Share of flops | A6s wins | Ties | 44 wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 47.468 | 0.265 | 52.267 | 47.600 |
| Rainbow, nine or lower | 5.689 | 38.911 | 0.873 | 60.216 | 39.347 |
| Two-tone | 46.545 | 48.295 | 0.346 | 51.359 | 48.468 |
| Monotone | 5.212 | 46.609 | 2.832 | 50.559 | 48.025 |
| Paired | 17.334 | 46.089 | 0.621 | 53.290 | 46.399 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 59.91% for A6s, 57.02% for 44. Here the change is -12.56 and -4.37 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 47.349 | 59.906 | -12.557 | 0.79039 |
| A6s, rainbow, ten or higher | 47.600 | 59.906 | -12.306 | 0.79458 |
| A6s, rainbow, nine or lower | 39.347 | 59.906 | -20.559 | 0.65681 |
| A6s, two-tone | 48.468 | 59.906 | -11.438 | 0.80907 |
| A6s, monotone | 48.025 | 59.906 | -11.881 | 0.80167 |
| A6s, paired | 46.399 | 59.906 | -13.507 | 0.77453 |
| 44, all flops | 52.651 | 57.023 | -4.372 | 0.92333 |
| 44, rainbow, ten or higher | 52.400 | 57.023 | -4.623 | 0.91893 |
| 44, rainbow, nine or lower | 60.653 | 57.023 | +3.630 | 1.06366 |
| 44, two-tone | 51.532 | 57.023 | -5.491 | 0.90371 |
| 44, monotone | 51.975 | 57.023 | -5.048 | 0.91147 |
| 44, paired | 53.601 | 57.023 | -3.422 | 0.93999 |
Does a shared suit matter?
Split by suits, the deals give 44 52.83% when the hands overlap in a suit and 52.47% when they do not. 44 does better with a shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 44 wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 46.882 | 0.568 | 52.550 | 47.166 |
| No shared suit | 12 | 50.00 | 47.283 | 0.498 | 52.219 | 47.532 |
How often this matchup comes up
Counting specific cards, A6s against 44 appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
Take a $200 pot built from $100 each. 44's equity of 52.65% is worth $105.30, a $5.30 edge, and A6s' 47.35% is worth $94.70, which is $5.30 under its stake.
Per 1,000 deals: 44 wins about 524, A6s wins about 471, and about 5 end in a split pot.
The same matchup from the other side
One page covers both views. From 44's side the equity is 52.65%, and from A6s' side it is 47.35%.
Keep exploring
Open the calculator with As6s against 4h4d 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
Nothing here is simulated. The 24 deals of A6s against 44 fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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