AKo
60.32%
Wins 60.10%, ties 0.44%
T8s
39.68%
Wins 39.46%, ties 0.44%
AKo against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 60.102 | 0.439 | 39.459 | 60.321 |
| T8s | 39.459 | 0.439 | 60.102 | 39.679 |
We compare an offsuit hand with a suited hand. 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. Of every 100 boards, about 0.44 are split pots, and the equity figures already include them.
AKo ranks number 12 of 169 starting hands, and T8s ranks number 73, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 49,398,000 | 361,000 | 32,432,000 |
| T8s | 32,432,000 | 361,000 | 49,398,000 |
48 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) |
|---|---|---|---|---|
| AKo | 1.520 | 1.664 | 2.534 | 0.658 |
| T8s | 0.658 | 2.534 | 1.664 | 1.520 |
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
The flop changes the picture. AKo does best on rainbow flops topped by a ten or better, at 64.82%, and worst on low rainbow flops (nine high or lower), at 50.39%. AKo stays ahead on all five textures.
| Flop | Share of flops | AKo wins | Ties | T8s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 64.739 | 0.153 | 35.108 | 64.816 |
| Rainbow, nine or lower | 7.042 | 50.032 | 0.717 | 49.251 | 50.391 |
| Two-tone | 46.667 | 58.616 | 0.262 | 41.122 | 58.747 |
| Monotone | 5.212 | 57.402 | 2.370 | 40.228 | 58.587 |
| Paired | 17.091 | 62.622 | 0.620 | 36.758 | 62.932 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Each hand has a baseline against a random hand: 65.32% for AKo, 52.33% for T8s. Here the change is -5.00 and -12.65 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 60.321 | 65.320 | -4.999 | 0.92347 |
| AKo, rainbow, ten or higher | 64.816 | 65.320 | -0.504 | 0.99228 |
| AKo, rainbow, nine or lower | 50.391 | 65.320 | -14.929 | 0.77145 |
| AKo, two-tone | 58.747 | 65.320 | -6.573 | 0.89937 |
| AKo, monotone | 58.587 | 65.320 | -6.733 | 0.89692 |
| AKo, paired | 62.932 | 65.320 | -2.388 | 0.96344 |
| T8s, all flops | 39.679 | 52.334 | -12.655 | 0.75819 |
| T8s, rainbow, ten or higher | 35.184 | 52.334 | -17.150 | 0.67230 |
| T8s, rainbow, nine or lower | 49.609 | 52.334 | -2.725 | 0.94793 |
| T8s, two-tone | 41.253 | 52.334 | -11.081 | 0.78826 |
| T8s, monotone | 41.413 | 52.334 | -10.921 | 0.79132 |
| T8s, paired | 37.068 | 52.334 | -15.266 | 0.70830 |
Does a shared suit matter?
The suit split reads 61.03% for AKo with a shared suit and 59.61% without one. AKo does better with a shared suit, by 1.42 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | T8s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.789 | 0.480 | 38.731 | 61.029 |
| No shared suit | 24 | 50.00 | 59.414 | 0.398 | 40.188 | 59.613 |
How often this matchup comes up
AKo against T8s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AKo is worth $120.64 on average (+$20.64); T8s is worth $79.36 (-$20.64).
Over a long run, 1,000 deals split into about 601 for AKo, 395 for T8s and 4 tied.
The same matchup from the other side
One page covers both views. From T8s' side the equity is 39.68%, and from AKo's side it is 60.32%.
Keep exploring
AsKh against Td8d 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 48 ways to deal one AKo and one T8s 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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