AKo
68.46%
Wins 66.19%, ties 4.54%
A5s
31.54%
Wins 29.27%, ties 4.54%
AKo against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 66.190 | 4.537 | 29.273 | 68.458 |
| A5s | 29.273 | 4.537 | 66.190 | 31.542 |
The matchup pits an offsuit hand against a suited hand. 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 A5s needs a specific kind of board to catch up. Ties are part of the picture: 4.54% of boards end in a split pot, and each side counts that as half a win.
Place 12 of 169 belongs to AKo and place 30 belongs to A5s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 40,801,000 | 2,797,000 | 18,045,000 |
| A5s | 18,045,000 | 2,797,000 | 40,801,000 |
Exact total: 36 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) |
|---|---|---|---|---|
| AKo | 2.170 | 1.511 | 3.416 | 0.461 |
| A5s | 0.461 | 3.416 | 1.511 | 2.170 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for AKo (76.13%); low rainbow flops (nine high or lower) are the worst (52.45%). 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 | A5s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 74.899 | 2.467 | 22.634 | 76.132 |
| Rainbow, nine or lower | 7.042 | 50.318 | 4.261 | 45.421 | 52.448 |
| Two-tone | 46.527 | 65.757 | 2.716 | 31.527 | 67.115 |
| Monotone | 5.192 | 61.442 | 4.051 | 34.507 | 63.468 |
| Paired | 17.334 | 63.210 | 12.541 | 24.249 | 69.481 |
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 +3.14 points, and A5s, from 59.92%, by -28.38.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 68.458 | 65.320 | +3.138 | 1.04804 |
| AKo, rainbow, ten or higher | 76.132 | 65.320 | +10.812 | 1.16552 |
| AKo, rainbow, nine or lower | 52.448 | 65.320 | -12.872 | 0.80294 |
| AKo, two-tone | 67.115 | 65.320 | +1.795 | 1.02748 |
| AKo, monotone | 63.468 | 65.320 | -1.852 | 0.97165 |
| AKo, paired | 69.481 | 65.320 | +4.161 | 1.06370 |
| A5s, all flops | 31.542 | 59.923 | -28.381 | 0.52638 |
| A5s, rainbow, ten or higher | 23.868 | 59.923 | -36.055 | 0.39831 |
| A5s, rainbow, nine or lower | 47.552 | 59.923 | -12.371 | 0.79355 |
| A5s, two-tone | 32.885 | 59.923 | -27.038 | 0.54879 |
| A5s, monotone | 36.532 | 59.923 | -23.391 | 0.60965 |
| A5s, paired | 30.519 | 59.923 | -29.404 | 0.50930 |
Does a shared suit matter?
Split by suits, the deals give AKo 69.27% when the hands overlap in a suit and 68.05% when they do not. AKo does better with a shared suit, by 1.22 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | A5s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 66.962 | 4.616 | 28.422 | 69.270 |
| No shared suit | 24 | 66.67 | 65.804 | 4.498 | 29.698 | 68.053 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are AKo in one seat and A5s in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
Take a $200 pot built from $100 each. AKo's equity of 68.46% is worth $136.92, a $36.92 edge, and A5s' 31.54% is worth $63.08, which is $36.92 under its stake.
Run 1,000 deals and the tally comes out near 662 for AKo, 293 for A5s and 45 ties.
The same matchup from the other side
A5s against AKo adds nothing new: it is 31.54% for A5s and 68.46% for AKo, the same figures reversed.
Keep exploring
The calculator link fills in AsKh against Ad5d, 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
This is an exact count with no sampling. For the 36 ways to deal one AKo and one A5s 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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