54s vs 53s: preflop equity

Dealt all in against each other, 54s takes 53.18% of the pot on average and 53s takes the other 46.82%.

54s

53.18%

Wins 31.43%, ties 43.51%

53s

46.82%

Wins 25.06%, ties 43.51%

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

54s against 53s: the numbers

Exact preflop results for 54s against 53s, in percent
HandWinsTiesLosesEquity
54s31.42843.50625.06653.181
53s25.06643.50631.42846.819

Here suited hands face each other, 54s on one side and 53s on the other. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.

That is a slim edge: neither hand is far ahead. Of every 100 boards, about 43.51 are split pots, and the equity figures already include them.

By strength against a random hand, 54s holds place 136 of 169 and 53s holds place 146.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
54s6,458,0008,939,0005,150,000
53s5,150,0008,939,0006,458,000

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 53s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
54s1.1363.1823.9890.880
53s0.8803.9893.1821.136

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, 54s' equity runs from 51.58% on paired flops up to 57.16% on low rainbow flops (nine high or lower). 54s stays ahead on all five textures.

54s against 53s by flop texture, in percent
FlopShare of flops54s winsTies53s wins54s equity
Rainbow, ten or higher25.84429.13848.02722.83553.152
Rainbow, nine or lower5.06540.81132.70026.48957.161
Two-tone46.54333.59639.63126.77353.412
Monotone5.21537.26730.90031.83352.717
Paired17.33324.52154.12121.35851.581

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, 39.69% for 53s. Here the change is +11.73 and +7.13 points.

54s and 53s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
54s, all flops53.18141.453+11.7281.28292
54s, rainbow, ten or higher53.15241.453+11.6991.28222
54s, rainbow, nine or lower57.16141.453+15.7081.37894
54s, two-tone53.41241.453+11.9591.28850
54s, monotone52.71741.453+11.2641.27173
54s, paired51.58141.453+10.1281.24432
53s, all flops46.81939.693+7.1261.17953
53s, rainbow, ten or higher46.84839.693+7.1551.18026
53s, rainbow, nine or lower42.83939.693+3.1461.07926
53s, two-tone46.58839.693+6.8951.17371
53s, monotone47.28339.693+7.5901.19122
53s, paired48.41939.693+8.7261.21984

Does a shared suit matter?

The hands cannot hold a suit in common here, which leaves a single case and a single number: 53.18% for 54s.

54s against 53s by suit overlap, in percent
DealsSpecific dealsShare of deals54s winsTies53s wins54s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0031.42843.50625.06653.181

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are 54s against 53s, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

Take a $200 pot built from $100 each. 54s' equity of 53.18% is worth $106.36, a $6.36 edge, and 53s' 46.82% is worth $93.64, which is $6.36 under its stake.

Per 1,000 deals: 54s wins about 314, 53s wins about 251, and about 435 end in a split pot.

The same matchup from the other side

The reversed view, 53s against 54s, shows 46.82% for 53s and 53.18% for 54s. It is the same count, so it redirects here.

Try 5s4s against 5h3h 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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