A2s
56.57%
Wins 56.28%, ties 0.59%
64s
43.43%
Wins 43.13%, ties 0.59%
A2s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A2s | 56.278 | 0.586 | 43.136 | 56.571 |
| 64s | 43.136 | 0.586 | 56.278 | 43.429 |
This is a contest between two suited hands, A2s and 64s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 0.59% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, A2s is number 46 and 64s is number 138.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A2s | 15,418,000 | 161,000 | 11,818,000 |
| 64s | 11,818,000 | 161,000 | 15,418,000 |
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) |
|---|---|---|---|---|
| A2s | 1.303 | 1.777 | 2.318 | 0.768 |
| 64s | 0.768 | 2.318 | 1.777 | 1.303 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: A2s holds 62.90% on paired flops and 33.50% on low rainbow flops (nine high or lower). The overall edge for A2s hides low rainbow flops (nine high or lower), where 64s comes out in front.
| Flop | Share of flops | A2s wins | Ties | 64s wins | A2s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 60.409 | 0.255 | 39.336 | 60.537 |
| Rainbow, nine or lower | 5.689 | 33.013 | 0.982 | 66.005 | 33.504 |
| Two-tone | 46.727 | 55.032 | 0.345 | 44.623 | 55.205 |
| Monotone | 5.273 | 52.334 | 3.517 | 44.149 | 54.093 |
| Paired | 17.091 | 62.551 | 0.698 | 36.751 | 62.900 |
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
How much does the opponent matter? Compared with its random-hand 57.38%, A2s changes by -0.81 points, and 64s, from 41.33%, by +2.10.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A2s, all flops | 56.571 | 57.379 | -0.808 | 0.98592 |
| A2s, rainbow, ten or higher | 60.537 | 57.379 | +3.158 | 1.05504 |
| A2s, rainbow, nine or lower | 33.504 | 57.379 | -23.875 | 0.58391 |
| A2s, two-tone | 55.205 | 57.379 | -2.174 | 0.96211 |
| A2s, monotone | 54.093 | 57.379 | -3.286 | 0.94273 |
| A2s, paired | 62.900 | 57.379 | +5.521 | 1.09622 |
| 64s, all flops | 43.429 | 41.333 | +2.096 | 1.05071 |
| 64s, rainbow, ten or higher | 39.463 | 41.333 | -1.870 | 0.95476 |
| 64s, rainbow, nine or lower | 66.496 | 41.333 | +25.163 | 1.60879 |
| 64s, two-tone | 44.795 | 41.333 | +3.462 | 1.08376 |
| 64s, monotone | 45.907 | 41.333 | +4.574 | 1.11066 |
| 64s, paired | 37.100 | 41.333 | -4.233 | 0.89759 |
Does a shared suit matter?
Split by suits, the deals give A2s 58.38% when the hands overlap in a suit and 55.97% when they do not. A2s does better with a shared suit, by 2.41 points.
| Deals | Specific deals | Share of deals | A2s wins | Ties | 64s wins | A2s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 58.041 | 0.670 | 41.289 | 58.376 |
| No shared suit | 12 | 75.00 | 55.691 | 0.558 | 43.751 | 55.970 |
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
Put $100 each into a $200 pot and deal every board once: A2s averages $113.14 back, ahead of its $100 by $13.14, while 64s averages $86.86, short of its $100 by $13.14.
Scaled to 1,000 deals, that is roughly 563 wins for A2s, 431 for 64s and 6 chopped pots.
The same matchup from the other side
64s against A2s adds nothing new: it is 43.43% for 64s and 56.57% for A2s, the same figures reversed.
Keep exploring
Try As2s against 6h4h 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 16 ways to deal one A2s and one 64s 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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