A5s
43.26%
Wins 27.32%, ties 31.88%
A6s
56.74%
Wins 40.80%, ties 31.88%
A5s against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 27.321 | 31.876 | 40.803 | 43.259 |
| A6s | 40.803 | 31.876 | 27.321 | 56.741 |
Each side holds one of the suited hands: A5s and A6s. 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.
A6s is ahead, but A5s is far from dead: it takes 273 of every 1,000 deals outright. Ties are 31.88% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, A5s is number 30 and A6s is number 31.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 5,614,000 | 6,550,000 | 8,384,000 |
| A6s | 8,384,000 | 6,550,000 | 5,614,000 |
The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A5s | 0.762 | 3.660 | 2.451 | 1.312 |
| A6s | 1.312 | 2.451 | 3.660 | 0.762 |
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
If you know the kind of flop that came, the numbers shift: A6s holds 59.52% on low rainbow flops (nine high or lower) and 53.29% on paired flops. A6s stays ahead on all five textures.
| Flop | Share of flops | A5s wins | Ties | A6s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 24.248 | 35.736 | 40.016 | 42.116 |
| Rainbow, nine or lower | 6.383 | 33.117 | 14.735 | 52.148 | 40.485 |
| Two-tone | 46.543 | 29.039 | 27.522 | 43.439 | 42.800 |
| Monotone | 5.215 | 33.511 | 22.282 | 44.207 | 44.652 |
| Paired | 17.333 | 23.061 | 47.302 | 29.637 | 46.712 |
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
Relative to a random opponent, A5s changes by -16.66 points (baseline 59.92%) and A6s by -3.17 points (baseline 59.91%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 43.259 | 59.923 | -16.664 | 0.72191 |
| A5s, rainbow, ten or higher | 42.116 | 59.923 | -17.807 | 0.70284 |
| A5s, rainbow, nine or lower | 40.485 | 59.923 | -19.438 | 0.67562 |
| A5s, two-tone | 42.800 | 59.923 | -17.123 | 0.71425 |
| A5s, monotone | 44.652 | 59.923 | -15.271 | 0.74516 |
| A5s, paired | 46.712 | 59.923 | -13.211 | 0.77953 |
| A6s, all flops | 56.741 | 59.906 | -3.165 | 0.94717 |
| A6s, rainbow, ten or higher | 57.884 | 59.906 | -2.022 | 0.96625 |
| A6s, rainbow, nine or lower | 59.515 | 59.906 | -0.391 | 0.99347 |
| A6s, two-tone | 57.200 | 59.906 | -2.706 | 0.95483 |
| A6s, monotone | 55.348 | 59.906 | -4.558 | 0.92391 |
| A6s, paired | 53.288 | 59.906 | -6.618 | 0.88953 |
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 | A6s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 27.321 | 31.876 | 40.803 | 43.259 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A6s gets $113.48 of it on average and A5s gets $86.52.
A thousand deals look like this: A6s takes 408, A5s takes 273, 319 are ties.
The same matchup from the other side
Read it from the other side: A6s against A5s is the same matchup with the numbers swapped, so A6s holds 56.74% and A5s holds 43.26%. That address sends you back to this page.
Keep exploring
Try As5s against Ah6h 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 A6s 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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