AKo
69.41%
Wins 67.15%, ties 4.52%
A7s
30.59%
Wins 28.33%, ties 4.52%
AKo against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 67.150 | 4.517 | 28.333 | 69.409 |
| A7s | 28.333 | 4.517 | 67.150 | 30.591 |
AKo is an offsuit hand and A7s is a suited hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
AKo is the clear favorite, though A7s gets there on roughly one board in 3. About 4.52% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and A7s is number 24.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 41,393,000 | 2,784,000 | 17,465,000 |
| A7s | 17,465,000 | 2,784,000 | 41,393,000 |
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 | 2.269 | 1.489 | 3.529 | 0.441 |
| A7s | 0.441 | 3.529 | 1.489 | 2.269 |
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: AKo holds 76.64% on rainbow flops topped by a ten or better and 55.83% on low rainbow flops (nine high or lower). 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 | A7s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 75.412 | 2.465 | 22.123 | 76.644 |
| Rainbow, nine or lower | 7.042 | 53.656 | 4.338 | 42.006 | 55.825 |
| Two-tone | 46.527 | 66.790 | 2.714 | 30.496 | 68.147 |
| Monotone | 5.192 | 62.119 | 4.017 | 33.864 | 64.128 |
| Paired | 17.334 | 63.714 | 12.405 | 23.881 | 69.916 |
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
A random hand would give AKo 65.32% and A7s 60.98%. Against each other the change is +4.09 points for AKo and -30.39 for A7s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 69.409 | 65.320 | +4.089 | 1.06260 |
| AKo, rainbow, ten or higher | 76.644 | 65.320 | +11.324 | 1.17336 |
| AKo, rainbow, nine or lower | 55.825 | 65.320 | -9.495 | 0.85464 |
| AKo, two-tone | 68.147 | 65.320 | +2.827 | 1.04328 |
| AKo, monotone | 64.128 | 65.320 | -1.192 | 0.98175 |
| AKo, paired | 69.916 | 65.320 | +4.596 | 1.07036 |
| A7s, all flops | 30.591 | 60.984 | -30.393 | 0.50162 |
| A7s, rainbow, ten or higher | 23.356 | 60.984 | -37.628 | 0.38299 |
| A7s, rainbow, nine or lower | 44.175 | 60.984 | -16.809 | 0.72437 |
| A7s, two-tone | 31.853 | 60.984 | -29.131 | 0.52232 |
| A7s, monotone | 35.872 | 60.984 | -25.112 | 0.58822 |
| A7s, paired | 30.084 | 60.984 | -30.900 | 0.49331 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKo has 70.24%; looking only at deals where they do not, 68.99%. AKo does better with a shared suit, by 1.25 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | A7s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 67.943 | 4.596 | 27.461 | 70.241 |
| No shared suit | 24 | 66.67 | 66.754 | 4.477 | 28.769 | 68.993 |
How often this matchup comes up
AKo against A7s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AKo is worth $138.82 on average (+$38.82); A7s is worth $61.18 (-$38.82).
A thousand deals look like this: AKo takes 672, A7s takes 283, 45 are ties.
The same matchup from the other side
Swap the hands and you get A7s with 30.59% against AKo with 69.41%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with AsKh against Ad7d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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