AKo
59.48%
Wins 59.25%, ties 0.45%
T9s
40.52%
Wins 40.30%, ties 0.45%
AKo against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKo | 59.251 | 0.450 | 40.299 | 59.476 |
| T9s | 40.299 | 0.450 | 59.251 | 40.524 |
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. Ties are 0.45% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, AKo holds place 12 of 169 and T9s holds place 64.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKo | 48,699,000 | 370,000 | 33,122,000 |
| T9s | 33,122,000 | 370,000 | 48,699,000 |
The total is exact: 48 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 | 1.468 | 1.688 | 2.481 | 0.681 |
| T9s | 0.681 | 2.481 | 1.688 | 1.468 |
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
AKo prefers rainbow flops topped by a ten or better, where it holds 63.25%, and likes low rainbow flops (nine high or lower) least, where it holds 51.48%. AKo stays ahead on all five textures.
| Flop | Share of flops | AKo wins | Ties | T9s wins | AKo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 63.177 | 0.154 | 36.669 | 63.254 |
| Rainbow, nine or lower | 7.042 | 51.083 | 0.788 | 48.129 | 51.477 |
| Two-tone | 46.667 | 57.724 | 0.275 | 42.001 | 57.862 |
| Monotone | 5.212 | 56.721 | 2.376 | 40.903 | 57.909 |
| Paired | 17.091 | 62.049 | 0.616 | 37.335 | 62.357 |
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
Start from the random-hand figures, 65.32% for AKo and 54.03% for T9s. This opponent changes them by -5.84 and -13.51 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKo, all flops | 59.476 | 65.320 | -5.844 | 0.91053 |
| AKo, rainbow, ten or higher | 63.254 | 65.320 | -2.066 | 0.96837 |
| AKo, rainbow, nine or lower | 51.477 | 65.320 | -13.843 | 0.78807 |
| AKo, two-tone | 57.862 | 65.320 | -7.458 | 0.88582 |
| AKo, monotone | 57.909 | 65.320 | -7.411 | 0.88654 |
| AKo, paired | 62.357 | 65.320 | -2.963 | 0.95464 |
| T9s, all flops | 40.524 | 54.028 | -13.504 | 0.75006 |
| T9s, rainbow, ten or higher | 36.746 | 54.028 | -17.282 | 0.68013 |
| T9s, rainbow, nine or lower | 48.523 | 54.028 | -5.505 | 0.89811 |
| T9s, two-tone | 42.138 | 54.028 | -11.890 | 0.77993 |
| T9s, monotone | 42.091 | 54.028 | -11.937 | 0.77906 |
| T9s, paired | 37.643 | 54.028 | -16.385 | 0.69673 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and AKo holds 60.16%. In 24 they do not, and it holds 58.79%. AKo does better with a shared suit, by 1.37 points.
| Deals | Specific deals | Share of deals | AKo wins | Ties | T9s wins | AKo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.913 | 0.490 | 39.597 | 60.158 |
| No shared suit | 24 | 50.00 | 58.590 | 0.409 | 41.001 | 58.794 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are AKo in one seat and T9s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
With $100 from each side, the $200 pot is split on average as $118.96 for AKo and $81.04 for T9s; the first side gains $18.96 per all-in and the second gives up $18.96.
Over a long run, 1,000 deals split into about 593 for AKo, 403 for T9s and 4 tied.
The same matchup from the other side
Read it from the other side: T9s against AKo is the same matchup with the numbers swapped, so T9s holds 40.52% and AKo holds 59.48%. That address sends you back to this page.
Keep exploring
The calculator link fills in AsKh against Td9d, 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
We counted every case. Each suit pattern of the 48 specific AKo against T9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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