A5s vs 43s: preflop equity

Counting every board, the equity split is 64.47% for A5s and 35.53% for 43s, so A5s leads by 28.94 points.

A5s

64.47%

Wins 64.16%, ties 0.62%

43s

35.53%

Wins 35.22%, ties 0.62%

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

A5s against 43s: the numbers

Exact preflop results for A5s against 43s, in percent
HandWinsTiesLosesEquity
A5s64.1620.61735.22164.470
43s35.2210.61764.16235.530

Both hands are suited hands: A5s and 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. Ties are part of the picture: 0.62% of boards end in a split pot, and each side counts that as half a win.

By strength against a random hand, A5s holds place 30 of 169 and 43s holds place 150.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A5s17,578,000169,0009,649,000
43s9,649,000169,00017,578,000

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.

A5s against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A5s1.8151.5592.8390.551
43s0.5512.8391.5591.815

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

Rainbow flops topped by a ten or better are the best for A5s (67.67%); low rainbow flops (nine high or lower) are the worst (52.12%). A5s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A5s against 43s by flop texture, in percent
FlopShare of flopsA5s winsTies43s winsA5s equity
Rainbow, ten or higher25.22067.5310.28232.18767.672
Rainbow, nine or lower5.68951.6041.02447.37252.116
Two-tone46.72763.4170.37236.21163.603
Monotone5.27359.1543.68737.15960.998
Paired17.09166.9510.69832.35167.300

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

Each hand has a baseline against a random hand: 59.92% for A5s, 38.64% for 43s. Here the change is +4.55 and -3.11 points.

A5s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A5s, all flops64.47059.923+4.5471.07588
A5s, rainbow, ten or higher67.67259.923+7.7491.12932
A5s, rainbow, nine or lower52.11659.923-7.8070.86972
A5s, two-tone63.60359.923+3.6801.06141
A5s, monotone60.99859.923+1.0751.01794
A5s, paired67.30059.923+7.3771.12311
43s, all flops35.53038.642-3.1120.91947
43s, rainbow, ten or higher32.32838.642-6.3140.83660
43s, rainbow, nine or lower47.88438.642+9.2421.23917
43s, two-tone36.39738.642-2.2450.94190
43s, monotone39.00238.642+0.3601.00932
43s, paired32.70038.642-5.9420.84623

Does a shared suit matter?

Two kinds of deal exist here. In 4 of them the hands share a suit and A5s holds 67.01%. In 12 they do not, and it holds 63.62%. A5s does better with a shared suit, by 3.39 points.

A5s against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsA5s winsTies43s winsA5s equity
Share a suit425.0066.6620.69232.64667.008
No shared suit1275.0063.3280.59236.08063.624

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. A5s averages $128.94 from the $200, up $28.94; 43s averages $71.06, down $28.94.

Per 1,000 deals: A5s wins about 642, 43s wins about 352, and about 6 end in a split pot.

The same matchup from the other side

If you came looking for 43s against A5s, the numbers are the same with the hands swapped: 35.53% and 64.47%.

Open the calculator with As5s 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of A5s 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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