KK vs 43s: preflop equity

Counting every board, the equity split is 79.54% for KK and 20.46% for 43s, so KK leads by 59.08 points.

KK

79.54%

Wins 79.30%, ties 0.48%

43s

20.46%

Wins 20.22%, ties 0.48%

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

KK against 43s: the numbers

Exact preflop results for KK against 43s, in percent
HandWinsTiesLosesEquity
KK79.2950.48220.22379.536
43s20.2230.48279.29520.464

One side is a pocket pair, the other is a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

A lead of 59.08 points is large but not decisive: 43s still takes about 202 of every 1,000 deals. Ties are 0.48% of the outcomes here; each tied board gives both hands half the pot.

KK ranks number 2 of 169 starting hands, and 43s ranks number 150, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK32,587,000198,0008,311,000
43s8,311,000198,00032,587,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KK against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK3.8871.2614.9450.257
43s0.2574.9451.2613.887

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Rainbow flops topped by a ten or better are the best for KK (84.48%); low rainbow flops (nine high or lower) are the worst (68.32%). KK stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KK against 43s by flop texture, in percent
FlopShare of flopsKK winsTies43s winsKK equity
Rainbow, ten or higher24.59584.3510.24715.40284.475
Rainbow, nine or lower6.31467.7111.22531.06468.323
Two-tone46.54577.4560.41322.13177.663
Monotone5.21272.8902.60524.50574.193
Paired17.33483.2000.09216.70883.246

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

Compared with a random opponent, this matchup shifts KK from 82.40% by -2.86 points and 43s from 38.64% by -18.18 points.

KK and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops79.53682.396-2.8600.96529
KK, rainbow, ten or higher84.47582.396+2.0791.02523
KK, rainbow, nine or lower68.32382.396-14.0730.82920
KK, two-tone77.66382.396-4.7330.94256
KK, monotone74.19382.396-8.2030.90044
KK, paired83.24682.396+0.8501.01032
43s, all flops20.46438.642-18.1780.52958
43s, rainbow, ten or higher15.52538.642-23.1170.40176
43s, rainbow, nine or lower31.67738.642-6.9650.81976
43s, two-tone22.33738.642-16.3050.57805
43s, monotone25.80738.642-12.8350.66785
43s, paired16.75438.642-21.8880.43357

Does a shared suit matter?

The suit split reads 80.12% for KK with a shared suit and 78.95% without one. KK does better with a shared suit, by 1.17 points.

KK against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTies43s winsKK equity
Share a suit1250.0079.8620.51919.61980.121
No shared suit1250.0078.7270.44520.82878.950

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

With $100 from each side, the $200 pot is split on average as $159.08 for KK and $40.92 for 43s; the first side gains $59.08 per all-in and the second gives up $59.08.

Out of 1,000 deals you should see around 793 outright wins for KK, 202 for 43s, and 5 split pots.

The same matchup from the other side

Read it from the other side: 43s against KK is the same matchup with the numbers swapped, so 43s holds 20.46% and KK holds 79.54%. That address sends you back to this page.

Try KsKh against 4d3d 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of KK against 43s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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