AKs
71.01%
Wins 68.90%, ties 4.22%
AJs
28.99%
Wins 26.88%, ties 4.22%
AKs against AJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 68.900 | 4.220 | 26.880 | 71.010 |
| AJs | 26.880 | 4.220 | 68.900 | 28.990 |
This is a contest between two suited hands, AKs and AJs. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
AKs is well ahead, and AJs needs a specific kind of board to catch up. The tie share is 4.22%: on those boards the pot is chopped and neither hand wins outright.
By strength against a random hand, AKs holds place 8 of 169 and AJs holds place 11.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 14,157,000 | 867,000 | 5,523,000 |
| AJs | 5,523,000 | 867,000 | 14,157,000 |
12 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) |
|---|---|---|---|---|
| AKs | 2.449 | 1.451 | 3.720 | 0.408 |
| AJs | 0.408 | 3.720 | 1.451 | 2.449 |
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
AKs prefers low rainbow flops (nine high or lower), where it holds 81.90%, and likes monotone flops least, where it holds 64.46%. 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 | AJs wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 69.458 | 1.931 | 28.611 | 70.424 |
| Rainbow, nine or lower | 7.771 | 79.330 | 5.138 | 15.532 | 81.899 |
| Two-tone | 46.543 | 69.082 | 2.449 | 28.469 | 70.307 |
| Monotone | 5.215 | 62.223 | 4.481 | 33.296 | 64.464 |
| Paired | 17.333 | 64.999 | 11.542 | 23.459 | 70.770 |
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
Compared with a random opponent, this matchup shifts AKs from 67.05% by +3.96 points and AJs from 65.39% by -36.40 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 71.010 | 67.045 | +3.965 | 1.05914 |
| AKs, rainbow, ten or higher | 70.424 | 67.045 | +3.379 | 1.05040 |
| AKs, rainbow, nine or lower | 81.899 | 67.045 | +14.854 | 1.22155 |
| AKs, two-tone | 70.307 | 67.045 | +3.262 | 1.04865 |
| AKs, monotone | 64.464 | 67.045 | -2.581 | 0.96150 |
| AKs, paired | 70.770 | 67.045 | +3.725 | 1.05556 |
| AJs, all flops | 28.990 | 65.393 | -36.403 | 0.44332 |
| AJs, rainbow, ten or higher | 29.576 | 65.393 | -35.817 | 0.45228 |
| AJs, rainbow, nine or lower | 18.101 | 65.393 | -47.292 | 0.27680 |
| AJs, two-tone | 29.693 | 65.393 | -35.700 | 0.45407 |
| AJs, monotone | 35.536 | 65.393 | -29.857 | 0.54342 |
| AJs, paired | 29.230 | 65.393 | -36.163 | 0.44699 |
Does a shared suit matter?
Every legal deal of AKs against AJs leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | AKs wins | Ties | AJs wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 68.900 | 4.220 | 26.880 | 71.010 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are AKs in one seat and AJs in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
Put $100 each into a $200 pot and deal every board once: AKs averages $142.02 back, ahead of its $100 by $42.02, while AJs averages $57.98, short of its $100 by $42.02.
Out of 1,000 deals you should see around 689 outright wins for AKs, 269 for AJs, and 42 split pots.
The same matchup from the other side
The mirror image, AJs against AKs, is 28.99% to 71.01%, and its address redirects to this page.
Keep exploring
AsKs against AhJh 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of AKs against AJs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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