A6s
62.75%
Wins 62.46%, ties 0.57%
53s
37.25%
Wins 36.97%, ties 0.57%
A6s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 62.461 | 0.574 | 36.965 | 62.748 |
| 53s | 36.965 | 0.574 | 62.461 | 37.252 |
Two suited hands meet here: A6s against 53s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are part of the picture: 0.57% of boards end in a split pot, and each side counts that as half a win.
A6s ranks number 31 of 169 starting hands, and 53s ranks number 146, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 17,112,000 | 157,000 | 10,127,000 |
| 53s | 10,127,000 | 157,000 | 17,112,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A6s | 1.684 | 1.601 | 2.705 | 0.594 |
| 53s | 0.594 | 2.705 | 1.601 | 1.684 |
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
By flop texture, A6s' equity runs from 48.18% on low rainbow flops (nine high or lower) up to 66.38% on paired flops. Watch for low rainbow flops (nine high or lower): on those flops 53s holds the better equity.
| Flop | Share of flops | A6s wins | Ties | 53s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.932 | 0.255 | 33.813 | 66.059 |
| Rainbow, nine or lower | 5.689 | 47.741 | 0.878 | 51.381 | 48.180 |
| Two-tone | 46.727 | 61.608 | 0.329 | 38.063 | 61.772 |
| Monotone | 5.273 | 57.737 | 3.564 | 38.699 | 59.519 |
| Paired | 17.091 | 66.030 | 0.690 | 33.280 | 66.375 |
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, 39.69% for 53s. Here the change is +2.84 and -2.44 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 62.748 | 59.906 | +2.842 | 1.04744 |
| A6s, rainbow, ten or higher | 66.059 | 59.906 | +6.153 | 1.10271 |
| A6s, rainbow, nine or lower | 48.180 | 59.906 | -11.726 | 0.80426 |
| A6s, two-tone | 61.772 | 59.906 | +1.866 | 1.03115 |
| A6s, monotone | 59.519 | 59.906 | -0.387 | 0.99354 |
| A6s, paired | 66.375 | 59.906 | +6.469 | 1.10799 |
| 53s, all flops | 37.252 | 39.693 | -2.441 | 0.93850 |
| 53s, rainbow, ten or higher | 33.941 | 39.693 | -5.752 | 0.85509 |
| 53s, rainbow, nine or lower | 51.820 | 39.693 | +12.127 | 1.30552 |
| 53s, two-tone | 38.228 | 39.693 | -1.465 | 0.96309 |
| 53s, monotone | 40.481 | 39.693 | +0.788 | 1.01985 |
| 53s, paired | 33.625 | 39.693 | -6.068 | 0.84713 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A6s has 65.13%; looking only at deals where they do not, 61.96%. A6s does better with a shared suit, by 3.17 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 53s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.800 | 0.651 | 34.549 | 65.125 |
| No shared suit | 12 | 75.00 | 61.682 | 0.548 | 37.770 | 61.956 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are A6s in one seat and 53s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Put $100 each into a $200 pot and deal every board once: A6s averages $125.50 back, ahead of its $100 by $25.50, while 53s averages $74.50, short of its $100 by $25.50.
Run 1,000 deals and the tally comes out near 624 for A6s, 370 for 53s and 6 ties.
The same matchup from the other side
One page covers both views. From 53s' side the equity is 37.25%, and from A6s' side it is 62.75%.
Keep exploring
As6s against 5h3h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Nothing here is simulated. The 16 deals of A6s against 53s 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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