A5s
69.20%
Wins 67.98%, ties 2.44%
54s
30.80%
Wins 29.58%, ties 2.44%
A5s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 67.982 | 2.444 | 29.574 | 69.204 |
| 54s | 29.574 | 2.444 | 67.982 | 30.796 |
Two suited hands meet here: A5s against 54s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
That is a clear edge, 69.20% to 30.80%, but 54s still wins often enough that one hand proves nothing. Split pots make up 2.44% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, A5s is number 30 and 54s is number 136 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 13,969,000 | 502,000 | 6,077,000 |
| 54s | 6,077,000 | 502,000 | 13,969,000 |
12 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) |
|---|---|---|---|---|
| A5s | 2.247 | 1.471 | 3.381 | 0.445 |
| 54s | 0.445 | 3.381 | 1.471 | 2.247 |
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
If you know the kind of flop that came, the numbers shift: A5s holds 74.21% on paired flops and 54.51% on low rainbow flops (nine high or lower). A5s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A5s wins | Ties | 54s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 72.705 | 1.379 | 25.916 | 73.395 |
| Rainbow, nine or lower | 5.654 | 50.798 | 7.413 | 41.789 | 54.505 |
| Two-tone | 46.543 | 66.485 | 2.162 | 31.353 | 67.566 |
| Monotone | 5.215 | 60.524 | 4.593 | 34.883 | 62.820 |
| Paired | 17.334 | 72.973 | 2.483 | 24.544 | 74.214 |
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
How much does the opponent matter? Compared with its random-hand 59.92%, A5s changes by +9.28 points, and 54s, from 41.45%, by -10.65.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 69.204 | 59.923 | +9.281 | 1.15488 |
| A5s, rainbow, ten or higher | 73.395 | 59.923 | +13.472 | 1.22482 |
| A5s, rainbow, nine or lower | 54.505 | 59.923 | -5.418 | 0.90958 |
| A5s, two-tone | 67.566 | 59.923 | +7.643 | 1.12755 |
| A5s, monotone | 62.820 | 59.923 | +2.897 | 1.04835 |
| A5s, paired | 74.214 | 59.923 | +14.291 | 1.23849 |
| 54s, all flops | 30.796 | 41.453 | -10.657 | 0.74291 |
| 54s, rainbow, ten or higher | 26.605 | 41.453 | -14.848 | 0.64181 |
| 54s, rainbow, nine or lower | 45.495 | 41.453 | +4.042 | 1.09751 |
| 54s, two-tone | 32.434 | 41.453 | -9.019 | 0.78243 |
| 54s, monotone | 37.180 | 41.453 | -4.273 | 0.89692 |
| 54s, paired | 25.786 | 41.453 | -15.667 | 0.62205 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | A5s wins | Ties | 54s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.982 | 2.444 | 29.574 | 69.204 |
How often this matchup comes up
Counting specific cards, A5s against 54s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
Take a $200 pot built from $100 each. A5s' equity of 69.20% is worth $138.40, a $38.40 edge, and 54s' 30.80% is worth $61.60, which is $38.40 under its stake.
Out of 1,000 deals you should see around 680 outright wins for A5s, 296 for 54s, and 24 split pots.
The same matchup from the other side
One page covers both views. From 54s' side the equity is 30.80%, and from A5s' side it is 69.20%.
Keep exploring
Try As5s 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
This is an exact count with no sampling. For the 12 ways to deal one A5s and one 54s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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