A8s
62.68%
Wins 62.43%, ties 0.52%
64s
37.32%
Wins 37.05%, ties 0.52%
A8s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 62.425 | 0.515 | 37.060 | 62.683 |
| 64s | 37.060 | 0.515 | 62.425 | 37.317 |
A8s and 64s are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 0.52% of boards end in a split pot, and each side counts that as half a win.
Place 21 of 169 belongs to A8s and place 138 belongs to 64s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 17,102,000 | 141,000 | 10,153,000 |
| 64s | 10,153,000 | 141,000 | 17,102,000 |
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) |
|---|---|---|---|---|
| A8s | 1.680 | 1.602 | 2.698 | 0.595 |
| 64s | 0.595 | 2.698 | 1.602 | 1.680 |
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: A8s holds 66.56% on rainbow flops topped by a ten or better and 46.08% on low rainbow flops (nine high or lower). 64s 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 | A8s wins | Ties | 64s wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.451 | 0.209 | 33.340 | 66.555 |
| Rainbow, nine or lower | 5.689 | 45.737 | 0.679 | 53.584 | 46.077 |
| Two-tone | 46.727 | 61.741 | 0.268 | 37.991 | 61.875 |
| Monotone | 5.273 | 58.030 | 3.468 | 38.502 | 59.764 |
| Paired | 17.091 | 65.269 | 0.674 | 34.057 | 65.606 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 61.94% for A8s, 41.33% for 64s. Here the change is +0.74 and -4.01 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 62.683 | 61.944 | +0.739 | 1.01193 |
| A8s, rainbow, ten or higher | 66.555 | 61.944 | +4.611 | 1.07444 |
| A8s, rainbow, nine or lower | 46.077 | 61.944 | -15.867 | 0.74385 |
| A8s, two-tone | 61.875 | 61.944 | -0.069 | 0.99889 |
| A8s, monotone | 59.764 | 61.944 | -2.180 | 0.96481 |
| A8s, paired | 65.606 | 61.944 | +3.662 | 1.05912 |
| 64s, all flops | 37.317 | 41.333 | -4.016 | 0.90284 |
| 64s, rainbow, ten or higher | 33.445 | 41.333 | -7.888 | 0.80916 |
| 64s, rainbow, nine or lower | 53.923 | 41.333 | +12.590 | 1.30460 |
| 64s, two-tone | 38.125 | 41.333 | -3.208 | 0.92239 |
| 64s, monotone | 40.236 | 41.333 | -1.097 | 0.97346 |
| 64s, paired | 34.394 | 41.333 | -6.939 | 0.83212 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A8s has 64.99%; looking only at deals where they do not, 61.91%. A8s does better with a shared suit, by 3.08 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | 64s wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.694 | 0.592 | 34.714 | 64.990 |
| No shared suit | 12 | 75.00 | 61.669 | 0.489 | 37.842 | 61.914 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A8s against 64s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Put $100 each into a $200 pot and deal every board once: A8s averages $125.36 back, ahead of its $100 by $25.36, while 64s averages $74.64, short of its $100 by $25.36.
A thousand deals look like this: A8s takes 624, 64s takes 371, 5 are ties.
The same matchup from the other side
64s versus A8s is this same page seen from the other hand: 37.32% for 64s, 62.68% for A8s.
Keep exploring
As8s against 6h4h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
This is an exact count with no sampling. For the 16 ways to deal one A8s 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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