AKs
62.95%
Wins 62.65%, ties 0.59%
43s
37.05%
Wins 36.76%, ties 0.59%
AKs against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 62.650 | 0.590 | 36.760 | 62.945 |
| 43s | 36.760 | 0.590 | 62.650 | 37.055 |
Two suited hands meet here: AKs against 43s. 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. About 0.59% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
By strength against a random hand, AKs holds place 8 of 169 and 43s holds place 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 17,164,000 | 162,000 | 10,071,000 |
| 43s | 10,071,000 | 162,000 | 17,164,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AKs | 1.699 | 1.596 | 2.720 | 0.589 |
| 43s | 0.589 | 2.720 | 1.596 | 1.699 |
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
If you know the kind of flop that came, the numbers shift: AKs holds 69.36% on rainbow flops topped by a ten or better and 38.24% on low rainbow flops (nine high or lower). 43s is ahead on low rainbow flops (nine high or lower), even though it trails AKs when every flop is counted.
| Flop | Share of flops | AKs wins | Ties | 43s wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.263 | 0.194 | 30.543 | 69.360 |
| Rainbow, nine or lower | 6.314 | 37.657 | 1.159 | 61.184 | 38.236 |
| Two-tone | 46.727 | 61.901 | 0.346 | 37.753 | 62.074 |
| Monotone | 5.273 | 58.161 | 3.667 | 38.172 | 59.995 |
| Paired | 17.091 | 65.802 | 0.665 | 33.533 | 66.134 |
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
Against one random hand instead, AKs holds 67.05% and 43s holds 38.64%. Facing each other changes that by -4.10 points for AKs and -1.59 points for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 62.945 | 67.045 | -4.100 | 0.93885 |
| AKs, rainbow, ten or higher | 69.360 | 67.045 | +2.315 | 1.03453 |
| AKs, rainbow, nine or lower | 38.236 | 67.045 | -28.809 | 0.57030 |
| AKs, two-tone | 62.074 | 67.045 | -4.971 | 0.92586 |
| AKs, monotone | 59.995 | 67.045 | -7.050 | 0.89485 |
| AKs, paired | 66.134 | 67.045 | -0.911 | 0.98641 |
| 43s, all flops | 37.055 | 38.642 | -1.587 | 0.95893 |
| 43s, rainbow, ten or higher | 30.640 | 38.642 | -8.002 | 0.79292 |
| 43s, rainbow, nine or lower | 61.764 | 38.642 | +23.122 | 1.59836 |
| 43s, two-tone | 37.926 | 38.642 | -0.716 | 0.98147 |
| 43s, monotone | 40.005 | 38.642 | +1.363 | 1.03527 |
| 43s, paired | 33.866 | 38.642 | -4.776 | 0.87640 |
Does a shared suit matter?
The suit split reads 65.27% for AKs with a shared suit and 62.17% without one. AKs does better with a shared suit, by 3.10 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | 43s wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.937 | 0.666 | 34.397 | 65.270 |
| No shared suit | 12 | 75.00 | 61.889 | 0.564 | 37.547 | 62.171 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AKs averages $125.90 from the $200, up $25.90; 43s averages $74.10, down $25.90.
Out of 1,000 deals you should see around 626 outright wins for AKs, 368 for 43s, and 6 split pots.
The same matchup from the other side
One page covers both views. From 43s' side the equity is 37.05%, and from AKs' side it is 62.95%.
Keep exploring
Open the calculator with AsKs against 4h3h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
This is an exact count with no sampling. For the 16 ways to deal one AKs and one 43s 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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