44 vs 43s: preflop equity

Counting every board, the equity split is 82.62% for 44 and 17.38% for 43s, so 44 leads by 65.24 points.

44

82.62%

Wins 79.80%, ties 5.64%

43s

17.38%

Wins 14.56%, ties 5.64%

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

44 against 43s: the numbers

Exact preflop results for 44 against 43s, in percent
HandWinsTiesLosesEquity
4479.7975.64414.55982.619
43s14.5595.64479.79717.381

The matchup pits a pocket pair against a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.

That is a heavy lead: 43s needs the board to help it on most runouts and still falls behind far more often than not. Ties are 5.64% of the outcomes here; each tied board gives both hands half the pot.

Among the 169 starting hands, 44 is number 48 and 43s is number 150 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
4416,396,0001,160,0002,992,000
43s2,992,0001,160,00016,396,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

44 against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
444.7531.2536.8690.210
43s0.2106.8691.2534.753

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Across the five flop textures 44's equity moves by 13.50 points, from 74.45% on monotone flops to 87.95% on rainbow flops topped by a ten or better. 44 stays ahead on all five textures.

44 against 43s by flop texture, in percent
FlopShare of flops44 winsTies43s wins44 equity
Rainbow, ten or higher25.78686.3023.29710.40187.951
Rainbow, nine or lower4.99575.4708.00016.53079.470
Two-tone46.23680.0643.79616.14081.962
Monotone5.15271.9125.06923.01974.447
Paired17.83173.18713.33713.47679.855

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 +25.60 points for 44, from 57.02%, and -21.26 for 43s, from 38.64%.

44 and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
44, all flops82.61957.023+25.5961.44887
44, rainbow, ten or higher87.95157.023+30.9281.54238
44, rainbow, nine or lower79.47057.023+22.4471.39365
44, two-tone81.96257.023+24.9391.43735
44, monotone74.44757.023+17.4241.30556
44, paired79.85557.023+22.8321.40040
43s, all flops17.38138.642-21.2610.44980
43s, rainbow, ten or higher12.04938.642-26.5930.31181
43s, rainbow, nine or lower20.53038.642-18.1120.53129
43s, two-tone18.03838.642-20.6040.46680
43s, monotone25.55338.642-13.0890.66128
43s, paired20.14538.642-18.4970.52132

Does a shared suit matter?

Suits do not split this matchup, because no legal deal has the hands holding the same suit.

44 against 43s by suit overlap, in percent
DealsSpecific dealsShare of deals44 winsTies43s wins44 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0079.7975.64414.55982.619

How often this matchup comes up

You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. 44's equity of 82.62% is worth $165.24, a $65.24 edge, and 43s' 17.38% is worth $34.76, which is $65.24 under its stake.

Per 1,000 deals: 44 wins about 798, 43s wins about 146, and about 56 end in a split pot.

The same matchup from the other side

The reversed view, 43s against 44, shows 17.38% for 43s and 82.62% for 44. It is the same count, so it redirects here.

Open the calculator with 4s4h against 4d3d 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

We counted every case. Each suit pattern of the 12 specific 44 against 43s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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