A7s
62.93%
Wins 62.65%, ties 0.56%
53s
37.07%
Wins 36.79%, ties 0.56%
A7s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 62.651 | 0.563 | 36.786 | 62.932 |
| 53s | 36.786 | 0.563 | 62.651 | 37.068 |
Each side holds one of the suited hands: A7s and 53s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A7s is ahead, but 53s is far from dead: it takes 368 of every 1,000 deals outright. About 0.56% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts A7s at 24 and 53s at 146 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 17,164,000 | 154,000 | 10,078,000 |
| 53s | 10,078,000 | 154,000 | 17,164,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| A7s | 1.698 | 1.596 | 2.718 | 0.589 |
| 53s | 0.589 | 2.718 | 1.596 | 1.698 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: A7s holds 66.16% on paired flops and 49.25% on low rainbow flops (nine high or lower). A7s is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | A7s wins | Ties | 53s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.993 | 0.258 | 33.749 | 66.122 |
| Rainbow, nine or lower | 5.689 | 48.862 | 0.776 | 50.362 | 49.250 |
| Two-tone | 46.727 | 61.887 | 0.317 | 37.796 | 62.046 |
| Monotone | 5.273 | 58.062 | 3.559 | 38.379 | 59.841 |
| Paired | 17.091 | 65.814 | 0.686 | 33.500 | 66.157 |
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
A random hand would give A7s 60.98% and 53s 39.69%. Against each other the change is +1.95 points for A7s and -2.62 for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 62.932 | 60.984 | +1.948 | 1.03194 |
| A7s, rainbow, ten or higher | 66.122 | 60.984 | +5.138 | 1.08425 |
| A7s, rainbow, nine or lower | 49.250 | 60.984 | -11.734 | 0.80759 |
| A7s, two-tone | 62.046 | 60.984 | +1.062 | 1.01741 |
| A7s, monotone | 59.841 | 60.984 | -1.143 | 0.98126 |
| A7s, paired | 66.157 | 60.984 | +5.173 | 1.08483 |
| 53s, all flops | 37.068 | 39.693 | -2.625 | 0.93387 |
| 53s, rainbow, ten or higher | 33.878 | 39.693 | -5.815 | 0.85350 |
| 53s, rainbow, nine or lower | 50.750 | 39.693 | +11.057 | 1.27856 |
| 53s, two-tone | 37.954 | 39.693 | -1.739 | 0.95619 |
| 53s, monotone | 40.159 | 39.693 | +0.466 | 1.01174 |
| 53s, paired | 33.843 | 39.693 | -5.850 | 0.85262 |
Does a shared suit matter?
Does suit overlap move the numbers? A7s has 65.30% when the hands share a suit and 62.15% when they do not. A7s does better with a shared suit, by 3.15 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | 53s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.975 | 0.639 | 34.386 | 65.295 |
| No shared suit | 12 | 75.00 | 61.876 | 0.537 | 37.587 | 62.145 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A7s takes back $125.86 of it, which is $25.86 more than it put in, and 53s takes back $74.14, $25.86 less than it put in.
Run 1,000 deals and the tally comes out near 626 for A7s, 368 for 53s and 6 ties.
The same matchup from the other side
Read it from the other side: 53s against A7s is the same matchup with the numbers swapped, so 53s holds 37.07% and A7s holds 62.93%. That address sends you back to this page.
Keep exploring
As7s 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
Each figure is a complete count over boards. Take the 16 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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