AKs
70.67%
Wins 68.46%, ties 4.42%
A3s
29.33%
Wins 27.12%, ties 4.42%
AKs against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 68.461 | 4.422 | 27.117 | 70.672 |
| A3s | 27.117 | 4.422 | 68.461 | 29.328 |
Each side holds one of the suited hands: AKs and A3s. 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 A3s gets there on roughly one board in 3. Ties are 4.42% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, AKs is number 8 and A3s is number 38.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 14,067,000 | 909,000 | 5,572,000 |
| A3s | 5,572,000 | 909,000 | 14,067,000 |
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 | 2.410 | 1.461 | 3.688 | 0.415 |
| A3s | 0.415 | 3.688 | 1.461 | 2.410 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
By flop texture, AKs' equity runs from 56.77% on low rainbow flops (nine high or lower) up to 77.29% on rainbow flops topped by a ten or better. 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 | A3s wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 76.082 | 2.417 | 21.501 | 77.291 |
| Rainbow, nine or lower | 7.042 | 54.603 | 4.337 | 41.060 | 56.771 |
| Two-tone | 46.543 | 68.538 | 2.564 | 28.898 | 69.820 |
| Monotone | 5.215 | 62.083 | 4.580 | 33.337 | 64.373 |
| Paired | 17.333 | 65.310 | 12.160 | 22.530 | 71.390 |
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, 67.05% for AKs and 58.22% for A3s. This opponent changes them by +3.62 and -28.89 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 70.672 | 67.045 | +3.627 | 1.05410 |
| AKs, rainbow, ten or higher | 77.291 | 67.045 | +10.246 | 1.15282 |
| AKs, rainbow, nine or lower | 56.771 | 67.045 | -10.274 | 0.84676 |
| AKs, two-tone | 69.820 | 67.045 | +2.775 | 1.04139 |
| AKs, monotone | 64.373 | 67.045 | -2.672 | 0.96015 |
| AKs, paired | 71.390 | 67.045 | +4.345 | 1.06481 |
| A3s, all flops | 29.328 | 58.220 | -28.892 | 0.50374 |
| A3s, rainbow, ten or higher | 22.709 | 58.220 | -35.511 | 0.39005 |
| A3s, rainbow, nine or lower | 43.229 | 58.220 | -14.991 | 0.74251 |
| A3s, two-tone | 30.180 | 58.220 | -28.040 | 0.51838 |
| A3s, monotone | 35.627 | 58.220 | -22.593 | 0.61194 |
| A3s, paired | 28.610 | 58.220 | -29.610 | 0.49141 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 70.67% for AKs.
| Deals | Specific deals | Share of deals | AKs wins | Ties | A3s wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 68.461 | 4.422 | 27.117 | 70.672 |
How often this matchup comes up
AKs against A3s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKs' average share is $141.34 (a gain of $41.34) and A3s' is $58.66 (a loss of $41.34).
Per 1,000 deals: AKs wins about 685, A3s wins about 271, and about 44 end in a split pot.
The same matchup from the other side
If you came looking for A3s against AKs, the numbers are the same with the hands swapped: 29.33% and 70.67%.
Keep exploring
AsKs against Ah3h 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
We counted every case. Each suit pattern of the 12 specific AKs against A3s 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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