A6s vs 43s: preflop equity

Averaged over every possible board, A6s is ahead of 43s by 25.80 points of equity, 62.90% to 37.10%.

A6s

62.90%

Wins 62.60%, ties 0.59%

43s

37.10%

Wins 36.81%, ties 0.59%

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

A6s against 43s: the numbers

Exact preflop results for A6s against 43s, in percent
HandWinsTiesLosesEquity
A6s62.6010.58836.81162.895
43s36.8110.58862.60137.105

This is a contest between two suited hands, A6s and 43s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.59% of boards, so the wins and the equity differ by half of that.

Ranked by equity against a random hand, A6s is number 31 of the 169 starting hands and 43s is number 150.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A6s17,151,000161,00010,085,000
43s10,085,000161,00017,151,000

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.

A6s against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A6s1.6951.5972.7170.590
43s0.5902.7171.5971.695

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

The flop changes the picture. A6s does best on paired flops, at 66.52%, and worst on low rainbow flops (nine high or lower), at 48.84%. 43s is ahead on low rainbow flops (nine high or lower), even though it trails A6s when every flop is counted.

A6s against 43s by flop texture, in percent
FlopShare of flopsA6s winsTies43s winsA6s equity
Rainbow, ten or higher25.22065.9730.25533.77266.100
Rainbow, nine or lower5.68948.3700.94350.68748.841
Two-tone46.72761.7440.33837.91861.913
Monotone5.27357.8453.65938.49659.675
Paired17.09166.1750.69433.13166.522

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Start from the random-hand figures, 59.91% for A6s and 38.64% for 43s. This opponent changes them by +2.99 and -1.54 points.

A6s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A6s, all flops62.89559.906+2.9891.04989
A6s, rainbow, ten or higher66.10059.906+6.1941.10340
A6s, rainbow, nine or lower48.84159.906-11.0650.81529
A6s, two-tone61.91359.906+2.0071.03350
A6s, monotone59.67559.906-0.2310.99614
A6s, paired66.52259.906+6.6161.11044
43s, all flops37.10538.642-1.5370.96022
43s, rainbow, ten or higher33.90038.642-4.7420.87728
43s, rainbow, nine or lower51.15938.642+12.5171.32392
43s, two-tone38.08738.642-0.5550.98564
43s, monotone40.32538.642+1.6831.04355
43s, paired33.47838.642-5.1640.86636

Does a shared suit matter?

Split by suits, the deals give A6s 65.28% when the hands overlap in a suit and 62.10% when they do not. A6s does better with a shared suit, by 3.18 points.

A6s against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsA6s winsTies43s winsA6s equity
Share a suit425.0064.9520.66134.38765.283
No shared suit1275.0061.8180.56337.61962.099

How often this matchup comes up

Counting specific cards, A6s against 43s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

With $100 from each side, the $200 pot is split on average as $125.80 for A6s and $74.20 for 43s; the first side gains $25.80 per all-in and the second gives up $25.80.

Think in thousands: about 626 of 1,000 go to A6s, about 368 go to 43s, and about 6 are chopped.

The same matchup from the other side

43s against A6s adds nothing new: it is 37.10% for 43s and 62.90% for A6s, the same figures reversed.

As6s 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of A6s against 43s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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