AKs
75.15%
Wins 72.93%, ties 4.43%
AJo
24.85%
Wins 22.64%, ties 4.43%
AKs against AJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 72.931 | 4.434 | 22.635 | 75.148 |
| AJo | 22.635 | 4.434 | 72.931 | 24.852 |
The first hand is a suited hand; the second is an offsuit 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.
AKs is the clear favorite, though AJo gets there on roughly one board in 4. A split pot comes up on 4.43% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, AKs is number 8 of the 169 starting hands and AJo is number 15.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 44,957,000 | 2,733,000 | 13,953,000 |
| AJo | 13,953,000 | 2,733,000 | 44,957,000 |
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) |
|---|---|---|---|---|
| AKs | 3.024 | 1.371 | 4.418 | 0.331 |
| AJo | 0.331 | 4.418 | 1.371 | 3.024 |
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
Break the boards down by their first three cards and AKs is strongest on low rainbow flops (nine high or lower) (84.94%) and weakest on monotone flops (67.68%). AKs 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 | AKs wins | Ties | AJo wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 71.637 | 1.983 | 26.380 | 72.628 |
| Rainbow, nine or lower | 7.771 | 82.276 | 5.337 | 12.387 | 84.944 |
| Two-tone | 46.527 | 74.422 | 2.656 | 22.922 | 75.750 |
| Monotone | 5.192 | 65.693 | 3.978 | 30.329 | 67.682 |
| Paired | 17.333 | 68.641 | 12.211 | 19.148 | 74.747 |
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
Compared with a random opponent, this matchup shifts AKs from 67.05% by +8.10 points and AJo from 63.56% by -38.71 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 75.148 | 67.045 | +8.103 | 1.12086 |
| AKs, rainbow, ten or higher | 72.628 | 67.045 | +5.583 | 1.08327 |
| AKs, rainbow, nine or lower | 84.944 | 67.045 | +17.899 | 1.26697 |
| AKs, two-tone | 75.750 | 67.045 | +8.705 | 1.12984 |
| AKs, monotone | 67.682 | 67.045 | +0.637 | 1.00950 |
| AKs, paired | 74.747 | 67.045 | +7.702 | 1.11488 |
| AJo, all flops | 24.852 | 63.563 | -38.711 | 0.39098 |
| AJo, rainbow, ten or higher | 27.372 | 63.563 | -36.191 | 0.43063 |
| AJo, rainbow, nine or lower | 15.056 | 63.563 | -48.507 | 0.23687 |
| AJo, two-tone | 24.250 | 63.563 | -39.313 | 0.38151 |
| AJo, monotone | 32.318 | 63.563 | -31.245 | 0.50844 |
| AJo, paired | 25.253 | 63.563 | -38.310 | 0.39729 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AKs has 74.92%; looking only at deals where they do not, 75.26%. AKs does better with no shared suit, by 0.34 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | AJo wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 72.666 | 4.505 | 22.829 | 74.918 |
| No shared suit | 24 | 66.67 | 73.064 | 4.398 | 22.538 | 75.263 |
How often this matchup comes up
Counting specific cards, AKs against AJo appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
Put $100 each into a $200 pot and deal every board once: AKs averages $150.30 back, ahead of its $100 by $50.30, while AJo averages $49.70, short of its $100 by $50.30.
In 1,000 deals of exactly this matchup, expect about 729 won outright by AKs, about 227 won outright by AJo and about 44 split.
The same matchup from the other side
AJo versus AKs is this same page seen from the other hand: 24.85% for AJo, 75.15% for AKs.
Keep exploring
The calculator link fills in AsKs against AhJd, 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 AKs and one AJo 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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