AKs
61.10%
Wins 60.84%, ties 0.52%
65s
38.90%
Wins 38.64%, ties 0.52%
AKs against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 60.836 | 0.517 | 38.647 | 61.095 |
| 65s | 38.647 | 0.517 | 60.836 | 38.905 |
Each side holds one of the suited hands: AKs and 65s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 22.20 point lead is real, and 65s still takes about 387 of every 1,000 deals outright. Of every 100 boards, about 0.52 are split pots, and the equity figures already include them.
By strength against a random hand, AKs holds place 8 of 169 and 65s holds place 128.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 16,667,000 | 142,000 | 10,588,000 |
| 65s | 10,588,000 | 142,000 | 16,667,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKs | 1.570 | 1.644 | 2.588 | 0.637 |
| 65s | 0.637 | 2.588 | 1.644 | 1.570 |
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
Rainbow flops topped by a ten or better are the best for AKs (68.36%); low rainbow flops (nine high or lower) are the worst (32.06%). 65s 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 | AKs wins | Ties | 65s wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.274 | 0.161 | 31.565 | 68.355 |
| Rainbow, nine or lower | 6.314 | 31.624 | 0.861 | 67.515 | 32.055 |
| Two-tone | 46.727 | 60.154 | 0.276 | 39.570 | 60.292 |
| Monotone | 5.273 | 56.947 | 3.471 | 39.582 | 58.682 |
| Paired | 17.091 | 63.988 | 0.649 | 35.363 | 64.313 |
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
Compared with a random opponent, this matchup shifts AKs from 67.05% by -5.95 points and 65s from 43.13% by -4.23 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 61.095 | 67.045 | -5.950 | 0.91125 |
| AKs, rainbow, ten or higher | 68.355 | 67.045 | +1.310 | 1.01954 |
| AKs, rainbow, nine or lower | 32.055 | 67.045 | -34.990 | 0.47811 |
| AKs, two-tone | 60.292 | 67.045 | -6.753 | 0.89928 |
| AKs, monotone | 58.682 | 67.045 | -8.363 | 0.87526 |
| AKs, paired | 64.313 | 67.045 | -2.732 | 0.95925 |
| 65s, all flops | 38.905 | 43.133 | -4.228 | 0.90198 |
| 65s, rainbow, ten or higher | 31.645 | 43.133 | -11.488 | 0.73366 |
| 65s, rainbow, nine or lower | 67.945 | 43.133 | +24.812 | 1.57524 |
| 65s, two-tone | 39.708 | 43.133 | -3.425 | 0.92059 |
| 65s, monotone | 41.318 | 43.133 | -1.815 | 0.95792 |
| 65s, paired | 35.687 | 43.133 | -7.446 | 0.82737 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (AKs at 63.18%) and 12 do not (60.40%). AKs does better with a shared suit, by 2.78 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | 65s wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 62.884 | 0.597 | 36.519 | 63.183 |
| No shared suit | 12 | 75.00 | 60.154 | 0.490 | 39.356 | 60.399 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AKs is worth $122.20 on average (+$22.20); 65s is worth $77.80 (-$22.20).
Over a long run, 1,000 deals split into about 608 for AKs, 387 for 65s and 5 tied.
The same matchup from the other side
One page covers both views. From 65s' side the equity is 38.90%, and from AKs' side it is 61.10%.
Keep exploring
The calculator link fills in AsKs against 6h5h, 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 16 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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