A4s vs 43s: preflop equity

The exact count puts A4s at 70.84% and 43s at 29.16% when the two hands see all five board cards.

A4s

70.84%

Wins 69.76%, ties 2.17%

43s

29.16%

Wins 28.07%, ties 2.17%

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

A4s against 43s: the numbers

Exact preflop results for A4s against 43s, in percent
HandWinsTiesLosesEquity
A4s69.7552.17428.07170.842
43s28.0712.17469.75529.158

Each side holds one of the suited hands: A4s and 43s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

A4s is the clear favorite, though 43s gets there on roughly one board in 3. About 2.17% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

In the ranking of all 169 starting hands, A4s is number 35 and 43s is number 150.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A4s14,333,000447,0005,768,000
43s5,768,000447,00014,333,000

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.

A4s against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A4s2.4301.4343.5620.412
43s0.4123.5621.4342.430

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, A4s' equity runs from 58.31% on low rainbow flops (nine high or lower) up to 75.49% on paired flops. A4s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A4s against 43s by flop texture, in percent
FlopShare of flopsA4s winsTies43s winsA4s equity
Rainbow, ten or higher25.25474.2621.25224.48674.888
Rainbow, nine or lower5.65455.2646.08138.65558.305
Two-tone46.54368.2781.85729.86569.207
Monotone5.21561.7504.50033.75064.000
Paired17.33474.2872.39823.31575.486

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

The table below sets each hand against its own random-hand baseline: a change of +11.81 points for A4s, from 59.03%, and -9.48 for 43s, from 38.64%.

A4s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A4s, all flops70.84259.034+11.8081.20002
A4s, rainbow, ten or higher74.88859.034+15.8541.26856
A4s, rainbow, nine or lower58.30559.034-0.7290.98765
A4s, two-tone69.20759.034+10.1731.17232
A4s, monotone64.00059.034+4.9661.08412
A4s, paired75.48659.034+16.4521.27869
43s, all flops29.15838.642-9.4840.75457
43s, rainbow, ten or higher25.11238.642-13.5300.64986
43s, rainbow, nine or lower41.69538.642+3.0531.07901
43s, two-tone30.79338.642-7.8490.79688
43s, monotone36.00038.642-2.6420.93163
43s, paired24.51438.642-14.1280.63439

Does a shared suit matter?

Every legal deal of A4s against 43s leaves the hands with no suit in common, so the suit split does not apply here.

A4s against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsA4s winsTies43s winsA4s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0069.7552.17428.07170.842

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 12 are A4s in one seat and 43s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. A4s averages $141.68 from the $200, up $41.68; 43s averages $58.32, down $41.68.

Scaled to 1,000 deals, that is roughly 697 wins for A4s, 281 for 43s and 22 chopped pots.

The same matchup from the other side

43s versus A4s is this same page seen from the other hand: 29.16% for 43s, 70.84% for A4s.

As4s 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 12 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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