A7s
61.59%
Wins 61.31%, ties 0.55%
54s
38.41%
Wins 38.14%, ties 0.55%
A7s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 61.308 | 0.554 | 38.138 | 61.585 |
| 54s | 38.138 | 0.554 | 61.308 | 38.415 |
Each side holds one of the suited hands: A7s and 54s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.55% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, A7s is number 24 and 54s is number 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 16,796,000 | 152,000 | 10,449,000 |
| 54s | 10,449,000 | 152,000 | 16,796,000 |
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 | 1.603 | 1.631 | 2.622 | 0.624 |
| 54s | 0.624 | 2.622 | 1.631 | 1.603 |
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
Break the boards down by their first three cards and A7s is strongest on paired flops (65.29%) and weakest on low rainbow flops (nine high or lower) (45.99%). Watch for low rainbow flops (nine high or lower): on those flops 54s holds the better equity.
| Flop | Share of flops | A7s wins | Ties | 54s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 64.810 | 0.259 | 34.931 | 64.939 |
| Rainbow, nine or lower | 5.689 | 45.633 | 0.720 | 53.647 | 45.993 |
| Two-tone | 46.727 | 60.484 | 0.310 | 39.206 | 60.639 |
| Monotone | 5.273 | 56.955 | 3.547 | 39.498 | 58.728 |
| Paired | 17.091 | 64.953 | 0.682 | 34.365 | 65.294 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 60.98% for A7s and 41.45% for 54s. This opponent changes them by +0.61 and -3.04 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 61.585 | 60.984 | +0.601 | 1.00986 |
| A7s, rainbow, ten or higher | 64.939 | 60.984 | +3.955 | 1.06485 |
| A7s, rainbow, nine or lower | 45.993 | 60.984 | -14.991 | 0.75418 |
| A7s, two-tone | 60.639 | 60.984 | -0.345 | 0.99434 |
| A7s, monotone | 58.728 | 60.984 | -2.256 | 0.96301 |
| A7s, paired | 65.294 | 60.984 | +4.310 | 1.07067 |
| 54s, all flops | 38.415 | 41.453 | -3.038 | 0.92671 |
| 54s, rainbow, ten or higher | 35.061 | 41.453 | -6.392 | 0.84580 |
| 54s, rainbow, nine or lower | 54.007 | 41.453 | +12.554 | 1.30285 |
| 54s, two-tone | 39.361 | 41.453 | -2.092 | 0.94953 |
| 54s, monotone | 41.272 | 41.453 | -0.181 | 0.99563 |
| 54s, paired | 34.706 | 41.453 | -6.747 | 0.83724 |
Does a shared suit matter?
Split by suits, the deals give A7s 63.82% when the hands overlap in a suit and 60.84% when they do not. A7s does better with a shared suit, by 2.98 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | 54s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.507 | 0.631 | 35.862 | 63.823 |
| No shared suit | 12 | 75.00 | 60.575 | 0.529 | 38.896 | 60.839 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are A7s in one seat and 54s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
With $100 from each side, the $200 pot is split on average as $123.18 for A7s and $76.82 for 54s; the first side gains $23.18 per all-in and the second gives up $23.18.
Over a long run, 1,000 deals split into about 613 for A7s, 381 for 54s and 6 tied.
The same matchup from the other side
The mirror image, 54s against A7s, is 38.41% to 61.59%, and its address redirects to this page.
Keep exploring
Try As7s against 5h4h 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 16 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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