54s vs 43s: preflop equity

The exact count puts 54s at 59.31% and 43s at 40.69% when the two hands see all five board cards.

54s

59.31%

Wins 43.67%, ties 31.27%

43s

40.69%

Wins 25.06%, ties 31.27%

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

54s against 43s: the numbers

Exact preflop results for 54s against 43s, in percent
HandWinsTiesLosesEquity
54s43.67031.27025.06059.305
43s25.06031.27043.67040.695

Two suited hands meet here: 54s against 43s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

54s is ahead, but 43s is far from dead: it takes 250 of every 1,000 deals outright. Ties are part of the picture: 31.27% of boards end in a split pot, and each side counts that as half a win.

Ranked by equity against a random hand, 54s is number 136 of the 169 starting hands and 43s is number 150.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
54s8,973,0006,425,0005,149,000
43s5,149,0006,425,0008,973,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

54s against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
54s1.4572.2903.9900.686
43s0.6863.9902.2901.457

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

The flop changes the picture. 54s does best on low rainbow flops (nine high or lower), at 62.94%, and worst on monotone flops, at 56.55%. 54s stays ahead on all five textures.

54s against 43s by flop texture, in percent
FlopShare of flops54s winsTies43s wins54s equity
Rainbow, ten or higher25.84443.32733.83822.83560.246
Rainbow, nine or lower5.06552.35821.15326.48962.935
Two-tone46.54345.24727.98026.77359.237
Monotone5.21544.80823.48231.71056.549
Paired17.33337.06341.57921.35857.852

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

Each hand has a baseline against a random hand: 41.45% for 54s, 38.64% for 43s. Here the change is +17.86 and +2.05 points.

54s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
54s, all flops59.30541.453+17.8521.43066
54s, rainbow, ten or higher60.24641.453+18.7931.45336
54s, rainbow, nine or lower62.93541.453+21.4821.51823
54s, two-tone59.23741.453+17.7841.42902
54s, monotone56.54941.453+15.0961.36417
54s, paired57.85241.453+16.3991.39560
43s, all flops40.69538.642+2.0531.05313
43s, rainbow, ten or higher39.75438.642+1.1121.02878
43s, rainbow, nine or lower37.06538.642-1.5770.95919
43s, two-tone40.76338.642+2.1211.05489
43s, monotone43.45138.642+4.8091.12445
43s, paired42.14838.642+3.5061.09073

Does a shared suit matter?

These two classes cannot share a suit in any legal deal, so there is only one row to read: 54s holds 59.31% in every deal of this matchup.

54s against 43s by suit overlap, in percent
DealsSpecific dealsShare of deals54s winsTies43s wins54s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0043.67031.27025.06059.305

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. 54s is worth $118.62 on average (+$18.62); 43s is worth $81.38 (-$18.62).

Per 1,000 deals: 54s wins about 437, 43s wins about 250, and about 313 end in a split pot.

The same matchup from the other side

One page covers both views. From 43s' side the equity is 40.69%, and from 54s' side it is 59.31%.

Try 5s4s against 4h3h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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