A8s vs 43s: preflop equity

If A8s and 43s get all the chips in before the flop, A8s owns 63.36% of the pot in the long run and 43s owns 36.64%.

A8s

63.36%

Wins 63.07%, ties 0.57%

43s

36.64%

Wins 36.36%, ties 0.57%

Equity counts a tie as half a win. Exact over every board.

A8s against 43s: the numbers

Exact preflop results for A8s against 43s, in percent
HandWinsTiesLosesEquity
A8s63.0710.57136.35863.356
43s36.3580.57163.07136.644

A8s meets 43s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 0.57% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, A8s is number 21 and 43s is number 150 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s17,279,000156,0009,961,000
43s9,961,000156,00017,279,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

A8s against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.7291.5862.7500.578
43s0.5782.7501.5861.729

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

The flop changes the picture. A8s does best on rainbow flops topped by a ten or better, at 66.31%, and worst on low rainbow flops (nine high or lower), at 51.32%. A8s stays ahead on all five textures.

A8s against 43s by flop texture, in percent
FlopShare of flopsA8s winsTies43s winsA8s equity
Rainbow, ten or higher25.22066.1910.23933.57066.310
Rainbow, nine or lower5.68950.8730.88948.23851.317
Two-tone46.72762.3830.32237.29562.544
Monotone5.27358.4993.65337.84860.325
Paired17.09165.8180.68633.49666.161

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Relative to a random opponent, A8s changes by +1.42 points (baseline 61.94%) and 43s by -2.00 points (baseline 38.64%).

A8s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops63.35661.944+1.4121.02279
A8s, rainbow, ten or higher66.31061.944+4.3661.07048
A8s, rainbow, nine or lower51.31761.944-10.6270.82844
A8s, two-tone62.54461.944+0.6001.00969
A8s, monotone60.32561.944-1.6190.97386
A8s, paired66.16161.944+4.2171.06808
43s, all flops36.64438.642-1.9980.94829
43s, rainbow, ten or higher33.69038.642-4.9520.87185
43s, rainbow, nine or lower48.68338.642+10.0411.25985
43s, two-tone37.45638.642-1.1860.96931
43s, monotone39.67538.642+1.0331.02673
43s, paired33.83938.642-4.8030.87571

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (A8s at 65.72%) and 12 do not (62.57%). A8s does better with a shared suit, by 3.15 points.

A8s against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTies43s winsA8s equity
Share a suit425.0065.3980.64633.95665.721
No shared suit1275.0062.2950.54637.15962.568

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

Say each player puts $100 in before the flop, making a $200 pot. On average A8s takes back $126.72 of it, which is $26.72 more than it put in, and 43s takes back $73.28, $26.72 less than it put in.

Scaled to 1,000 deals, that is roughly 631 wins for A8s, 363 for 43s and 6 chopped pots.

The same matchup from the other side

One page covers both views. From 43s' side the equity is 36.64%, and from A8s' side it is 63.36%.

Try As8s against 4h3h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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