A6s
61.40%
Wins 61.12%, ties 0.57%
54s
38.60%
Wins 38.31%, ties 0.57%
A6s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 61.118 | 0.566 | 38.316 | 61.401 |
| 54s | 38.316 | 0.566 | 61.118 | 38.599 |
Two suited hands meet here: A6s against 54s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 22.80 point lead is real, and 54s still takes about 383 of every 1,000 deals outright. Split pots make up 0.57% of the boards, and both equity figures count them as half a win each.
Ranked by equity against a random hand, A6s is number 31 of the 169 starting hands and 54s is number 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 16,744,000 | 155,000 | 10,497,000 |
| 54s | 10,497,000 | 155,000 | 16,744,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| A6s | 1.591 | 1.636 | 2.610 | 0.629 |
| 54s | 0.629 | 2.610 | 1.636 | 1.591 |
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
The flop changes the picture. A6s does best on paired flops, at 65.51%, and worst on low rainbow flops (nine high or lower), at 44.92%. 54s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | A6s wins | Ties | 54s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 64.749 | 0.255 | 34.996 | 64.877 |
| Rainbow, nine or lower | 5.689 | 44.512 | 0.822 | 54.666 | 44.923 |
| Two-tone | 46.727 | 60.205 | 0.321 | 39.474 | 60.365 |
| Monotone | 5.273 | 56.630 | 3.552 | 39.818 | 58.406 |
| Paired | 17.091 | 65.169 | 0.686 | 34.145 | 65.512 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Relative to a random opponent, A6s changes by +1.49 points (baseline 59.91%) and 54s by -2.85 points (baseline 41.45%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 61.401 | 59.906 | +1.495 | 1.02496 |
| A6s, rainbow, ten or higher | 64.877 | 59.906 | +4.971 | 1.08298 |
| A6s, rainbow, nine or lower | 44.923 | 59.906 | -14.983 | 0.74989 |
| A6s, two-tone | 60.365 | 59.906 | +0.459 | 1.00766 |
| A6s, monotone | 58.406 | 59.906 | -1.500 | 0.97496 |
| A6s, paired | 65.512 | 59.906 | +5.606 | 1.09358 |
| 54s, all flops | 38.599 | 41.453 | -2.854 | 0.93115 |
| 54s, rainbow, ten or higher | 35.123 | 41.453 | -6.330 | 0.84730 |
| 54s, rainbow, nine or lower | 55.077 | 41.453 | +13.624 | 1.32866 |
| 54s, two-tone | 39.635 | 41.453 | -1.818 | 0.95614 |
| 54s, monotone | 41.594 | 41.453 | +0.141 | 1.00340 |
| 54s, paired | 34.488 | 41.453 | -6.965 | 0.83198 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and A6s holds 63.65%. In 12 they do not, and it holds 60.65%. A6s does better with a shared suit, by 3.00 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 54s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.332 | 0.643 | 36.025 | 63.653 |
| No shared suit | 12 | 75.00 | 60.380 | 0.540 | 39.080 | 60.650 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A6s averages $122.80 from the $200, up $22.80; 54s averages $77.20, down $22.80.
Run 1,000 deals and the tally comes out near 611 for A6s, 383 for 54s and 6 ties.
The same matchup from the other side
The mirror image, 54s against A6s, is 38.60% to 61.40%, and its address redirects to this page.
Keep exploring
Try As6s 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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