KJs vs 53s: preflop equity

Counting every board, the equity split is 62.97% for KJs and 37.03% for 53s, so KJs leads by 25.94 points.

KJs

62.97%

Wins 62.59%, ties 0.75%

53s

37.03%

Wins 36.66%, ties 0.75%

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

KJs against 53s: the numbers

Exact preflop results for KJs against 53s, in percent
HandWinsTiesLosesEquity
KJs62.5910.74936.66062.965
53s36.6600.74962.59137.035

Each side holds one of the suited hands: KJs and 53s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

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: 0.75% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, KJs is number 20 and 53s is number 146 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs17,148,000205,00010,044,000
53s10,044,000205,00017,148,000

16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

KJs against 53s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.7001.5982.7280.588
53s0.5882.7281.5981.700

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

Break the boards down by their first three cards and KJs is strongest on rainbow flops topped by a ten or better (69.88%) and weakest on low rainbow flops (nine high or lower) (37.00%). Watch for low rainbow flops (nine high or lower): on those flops 53s holds the better equity.

KJs against 53s by flop texture, in percent
FlopShare of flopsKJs winsTies53s winsKJs equity
Rainbow, ten or higher24.59569.7250.30629.96969.878
Rainbow, nine or lower6.31436.5190.95962.52236.998
Two-tone46.72762.0520.40337.54562.254
Monotone5.27358.3743.62038.00660.184
Paired17.09164.7301.36833.90265.414

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

Against one random hand instead, KJs holds 62.57% and 53s holds 39.69%. Facing each other changes that by +0.40 points for KJs and -2.66 points for 53s.

KJs and 53s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops62.96562.567+0.3981.00636
KJs, rainbow, ten or higher69.87862.567+7.3111.11685
KJs, rainbow, nine or lower36.99862.567-25.5690.59133
KJs, two-tone62.25462.567-0.3130.99500
KJs, monotone60.18462.567-2.3830.96191
KJs, paired65.41462.567+2.8471.04550
53s, all flops37.03539.693-2.6580.93304
53s, rainbow, ten or higher30.12239.693-9.5710.75887
53s, rainbow, nine or lower63.00239.693+23.3091.58723
53s, two-tone37.74639.693-1.9470.95095
53s, monotone39.81639.693+0.1231.00310
53s, paired34.58639.693-5.1070.87134

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common KJs has 65.27% equity, and with none in common it has 62.20%. KJs does better with a shared suit, by 3.07 points.

KJs against 53s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTies53s winsKJs equity
Share a suit425.0064.8480.83934.31365.267
No shared suit1275.0061.8390.71837.44362.198

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. KJs' equity of 62.97% is worth $125.94, a $25.94 edge, and 53s' 37.03% is worth $74.06, which is $25.94 under its stake.

Out of 1,000 deals you should see around 626 outright wins for KJs, 367 for 53s, and 7 split pots.

The same matchup from the other side

If you came looking for 53s against KJs, the numbers are the same with the hands swapped: 37.03% and 62.97%.

The calculator link fills in KsJs against 5h3h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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