AKo
69.66%
Wins 67.58%, ties 4.15%
A6s
30.34%
Wins 28.27%, ties 4.15%
AKo against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 67.581 | 4.153 | 28.266 | 69.657 |
| A6s | 28.266 | 4.153 | 67.581 | 30.343 |
Here an offsuit hand (AKo) meets a suited hand (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.
AKo is well ahead, and A6s needs a specific kind of board to catch up. The tie share is 4.15%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and A6s is number 31.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 41,659,000 | 2,560,000 | 17,424,000 |
| A6s | 17,424,000 | 2,560,000 | 41,659,000 |
The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| AKo | 2.296 | 1.480 | 3.538 | 0.436 |
| A6s | 0.436 | 3.538 | 1.480 | 2.296 |
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
AKo prefers rainbow flops topped by a ten or better, where it holds 77.14%, and likes low rainbow flops (nine high or lower) least, where it holds 55.29%. AKo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AKo wins | Ties | A6s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 76.005 | 2.268 | 21.727 | 77.139 |
| Rainbow, nine or lower | 7.042 | 53.831 | 2.923 | 43.246 | 55.293 |
| Two-tone | 46.527 | 67.247 | 2.288 | 30.465 | 68.391 |
| Monotone | 5.192 | 62.446 | 3.737 | 33.817 | 64.315 |
| Paired | 17.334 | 63.983 | 12.382 | 23.635 | 70.174 |
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
How much does the opponent matter? Compared with its random-hand 65.32%, AKo changes by +4.34 points, and A6s, from 59.91%, by -29.57.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 69.657 | 65.320 | +4.337 | 1.06640 |
| AKo, rainbow, ten or higher | 77.139 | 65.320 | +11.819 | 1.18094 |
| AKo, rainbow, nine or lower | 55.293 | 65.320 | -10.027 | 0.84649 |
| AKo, two-tone | 68.391 | 65.320 | +3.071 | 1.04701 |
| AKo, monotone | 64.315 | 65.320 | -1.005 | 0.98461 |
| AKo, paired | 70.174 | 65.320 | +4.854 | 1.07431 |
| A6s, all flops | 30.343 | 59.906 | -29.563 | 0.50651 |
| A6s, rainbow, ten or higher | 22.861 | 59.906 | -37.045 | 0.38161 |
| A6s, rainbow, nine or lower | 44.707 | 59.906 | -15.199 | 0.74629 |
| A6s, two-tone | 31.609 | 59.906 | -28.297 | 0.52764 |
| A6s, monotone | 35.685 | 59.906 | -24.221 | 0.59568 |
| A6s, paired | 29.826 | 59.906 | -30.080 | 0.49788 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (AKo at 70.49%) and 24 do not (69.24%). AKo does better with a shared suit, by 1.25 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | A6s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 68.380 | 4.226 | 27.394 | 70.493 |
| No shared suit | 24 | 66.67 | 67.182 | 4.116 | 28.702 | 69.240 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are AKo against A6s, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AKo takes back $139.32 of it, which is $39.32 more than it put in, and A6s takes back $60.68, $39.32 less than it put in.
Over a long run, 1,000 deals split into about 676 for AKo, 283 for A6s and 41 tied.
The same matchup from the other side
A6s against AKo adds nothing new: it is 30.34% for A6s and 69.66% for AKo, the same figures reversed.
Keep exploring
AsKh against Ad6d 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 36 ways to deal one AKo 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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