A4s
68.43%
Wins 67.40%, ties 2.05%
54s
31.57%
Wins 30.55%, ties 2.05%
A4s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 67.402 | 2.048 | 30.550 | 68.426 |
| 54s | 30.550 | 2.048 | 67.402 | 31.574 |
Two suited hands meet here: A4s against 54s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
A lead of 36.86 points is large but not decisive: 54s still takes about 306 of every 1,000 deals. Of every 100 boards, about 2.05 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, A4s is number 35 and 54s is number 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 13,850,000 | 421,000 | 6,277,000 |
| 54s | 6,277,000 | 421,000 | 13,850,000 |
Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A4s | 2.167 | 1.484 | 3.273 | 0.461 |
| 54s | 0.461 | 3.273 | 1.484 | 2.167 |
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: A4s holds 73.10% on paired flops and 52.58% on low rainbow flops (nine high or lower). A4s 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 | A4s wins | Ties | 54s wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 72.342 | 1.194 | 26.464 | 72.939 |
| Rainbow, nine or lower | 5.654 | 49.800 | 5.552 | 44.648 | 52.576 |
| Two-tone | 46.543 | 65.990 | 1.747 | 32.263 | 66.864 |
| Monotone | 5.215 | 59.990 | 4.321 | 35.689 | 62.151 |
| Paired | 17.334 | 71.966 | 2.274 | 25.760 | 73.103 |
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
Relative to a random opponent, A4s changes by +9.40 points (baseline 59.03%) and 54s by -9.88 points (baseline 41.45%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 68.426 | 59.034 | +9.392 | 1.15909 |
| A4s, rainbow, ten or higher | 72.939 | 59.034 | +13.905 | 1.23554 |
| A4s, rainbow, nine or lower | 52.576 | 59.034 | -6.458 | 0.89061 |
| A4s, two-tone | 66.864 | 59.034 | +7.830 | 1.13264 |
| A4s, monotone | 62.151 | 59.034 | +3.117 | 1.05280 |
| A4s, paired | 73.103 | 59.034 | +14.069 | 1.23832 |
| 54s, all flops | 31.574 | 41.453 | -9.879 | 0.76168 |
| 54s, rainbow, ten or higher | 27.061 | 41.453 | -14.392 | 0.65281 |
| 54s, rainbow, nine or lower | 47.424 | 41.453 | +5.971 | 1.14404 |
| 54s, two-tone | 33.136 | 41.453 | -8.317 | 0.79936 |
| 54s, monotone | 37.849 | 41.453 | -3.604 | 0.91306 |
| 54s, paired | 26.897 | 41.453 | -14.556 | 0.64886 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | A4s wins | Ties | 54s wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.402 | 2.048 | 30.550 | 68.426 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A4s averages $136.86 from the $200, up $36.86; 54s averages $63.14, down $36.86.
Scaled to 1,000 deals, that is roughly 674 wins for A4s, 306 for 54s and 20 chopped pots.
The same matchup from the other side
54s against A4s adds nothing new: it is 31.57% for 54s and 68.43% for A4s, the same figures reversed.
Keep exploring
The calculator link fills in As4s against 5h4h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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