KJs vs 54s: preflop equity

If KJs and 54s get all the chips in before the flop, KJs owns 61.71% of the pot in the long run and 54s owns 38.29%.

KJs

61.71%

Wins 61.34%, ties 0.74%

54s

38.29%

Wins 37.92%, ties 0.74%

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

KJs against 54s: the numbers

Exact preflop results for KJs against 54s, in percent
HandWinsTiesLosesEquity
KJs61.3380.73937.92361.708
54s37.9230.73961.33838.292

This is a contest between two suited hands, KJs and 54s. 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. The tie share is 0.74%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, KJs is number 20 and 54s is number 136 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs16,805,000202,00010,390,000
54s10,390,000202,00016,805,000

Exact total: 16 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.

KJs against 54s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.6121.6302.6370.621
54s0.6212.6371.6301.612

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

If you know the kind of flop that came, the numbers shift: KJs holds 68.61% on rainbow flops topped by a ten or better and 34.91% on low rainbow flops (nine high or lower). 54s is ahead on low rainbow flops (nine high or lower), even though it trails KJs when every flop is counted.

KJs against 54s by flop texture, in percent
FlopShare of flopsKJs winsTies54s winsKJs equity
Rainbow, ten or higher24.59568.4600.30631.23468.613
Rainbow, nine or lower6.31434.4620.89264.64634.908
Two-tone46.72760.7900.39338.81760.986
Monotone5.27357.4313.60738.96259.235
Paired17.09163.7241.36434.91264.406

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -0.86 points for KJs, from 62.57%, and -3.16 for 54s, from 41.45%.

KJs and 54s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops61.70862.567-0.8590.98627
KJs, rainbow, ten or higher68.61362.567+6.0461.09663
KJs, rainbow, nine or lower34.90862.567-27.6590.55793
KJs, two-tone60.98662.567-1.5810.97473
KJs, monotone59.23562.567-3.3320.94675
KJs, paired64.40662.567+1.8391.02939
54s, all flops38.29241.453-3.1610.92374
54s, rainbow, ten or higher31.38741.453-10.0660.75717
54s, rainbow, nine or lower65.09241.453+23.6391.57026
54s, two-tone39.01441.453-2.4390.94116
54s, monotone40.76541.453-0.6880.98340
54s, paired35.59441.453-5.8590.85866

Does a shared suit matter?

When the hands share a suit, KJs holds 63.86%; when they do not, it holds 60.99%. KJs does better with a shared suit, by 2.87 points.

KJs against 54s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTies54s winsKJs equity
Share a suit425.0063.4440.82935.72763.859
No shared suit1275.0060.6370.70838.65560.991

How often this matchup comes up

KJs against 54s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.

A worked example

Take a $200 pot built from $100 each. KJs' equity of 61.71% is worth $123.42, a $23.42 edge, and 54s' 38.29% is worth $76.58, which is $23.42 under its stake.

In 1,000 deals of exactly this matchup, expect about 613 won outright by KJs, about 379 won outright by 54s and about 8 split.

The same matchup from the other side

The mirror image, 54s against KJs, is 38.29% to 61.71%, and its address redirects to this page.

KsJs against 5h4h 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

We counted every case. Each suit pattern of the 16 specific KJs against 54s 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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