A2s vs 43s: preflop equity

In equity, A2s against 43s stands at 57.54% to 42.46%, a gap of 15.08 points.

A2s

57.54%

Wins 57.22%, ties 0.64%

43s

42.46%

Wins 42.14%, ties 0.64%

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

A2s against 43s: the numbers

Exact preflop results for A2s against 43s, in percent
HandWinsTiesLosesEquity
A2s57.2170.64442.13957.539
43s42.1390.64457.21742.461

A2s meets 43s, and both are suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are part of the picture: 0.64% of boards end in a split pot, and each side counts that as half a win.

A2s ranks number 46 of 169 starting hands, and 43s ranks number 150, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A2s15,676,000176,00011,545,000
43s11,545,000176,00015,676,000

The total is exact: 16 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.

A2s against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A2s1.3551.7482.3730.738
43s0.7382.3731.7481.355

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

Break the boards down by their first three cards and A2s is strongest on paired flops (63.88%) and weakest on low rainbow flops (nine high or lower) (37.04%). The lead reverses on low rainbow flops (nine high or lower): there 43s is the favorite even though A2s is ahead overall.

A2s against 43s by flop texture, in percent
FlopShare of flopsA2s winsTies43s winsA2s equity
Rainbow, ten or higher25.22060.9150.28238.80361.056
Rainbow, nine or lower5.68936.4271.22262.35137.038
Two-tone46.72755.9280.40043.67256.128
Monotone5.27352.9483.70143.35154.799
Paired17.09163.5230.71035.76763.878

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

How much does the opponent matter? Compared with its random-hand 57.38%, A2s changes by +0.16 points, and 43s, from 38.64%, by +3.82.

A2s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A2s, all flops57.53957.379+0.1601.00279
A2s, rainbow, ten or higher61.05657.379+3.6771.06408
A2s, rainbow, nine or lower37.03857.379-20.3410.64550
A2s, two-tone56.12857.379-1.2510.97820
A2s, monotone54.79957.379-2.5800.95504
A2s, paired63.87857.379+6.4991.11326
43s, all flops42.46138.642+3.8191.09883
43s, rainbow, ten or higher38.94438.642+0.3021.00782
43s, rainbow, nine or lower62.96238.642+24.3201.62937
43s, two-tone43.87238.642+5.2301.13534
43s, monotone45.20138.642+6.5591.16974
43s, paired36.12238.642-2.5200.93479

Does a shared suit matter?

Looking only at deals where the hands share a suit, A2s has 59.46%; looking only at deals where they do not, 56.90%. A2s does better with a shared suit, by 2.56 points.

A2s against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsA2s winsTies43s winsA2s equity
Share a suit425.0059.1000.72340.17759.461
No shared suit1275.0056.5900.61742.79356.898

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

With $100 from each side, the $200 pot is split on average as $115.08 for A2s and $84.92 for 43s; the first side gains $15.08 per all-in and the second gives up $15.08.

A thousand deals look like this: A2s takes 572, 43s takes 421, 7 are ties.

The same matchup from the other side

Read it from the other side: 43s against A2s is the same matchup with the numbers swapped, so 43s holds 42.46% and A2s holds 57.54%. That address sends you back to this page.

As2s against 4h3h 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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