66 vs KJs: preflop equity

Dealt all in against each other, 66 takes 50.50% of the pot on average and KJs takes the other 49.50%.

66

50.50%

Wins 50.26%, ties 0.48%

KJs

49.50%

Wins 49.26%, ties 0.48%

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

66 against KJs: the numbers

Exact preflop results for 66 against KJs, in percent
HandWinsTiesLosesEquity
6650.2570.48149.26250.497
KJs49.2620.48150.25749.503

The first hand is a pocket pair; the second is a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

That is a slim edge: neither hand is far ahead. The tie share is 0.48%: on those boards the pot is chopped and neither hand wins outright.

Place 17 of 169 belongs to 66 and place 20 belongs to KJs in the ranking against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6620,653,000198,00020,244,000
KJs20,244,000198,00020,653,000

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.

66 against KJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.0201.9902.0300.980
KJs0.9802.0301.9901.020

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

Low rainbow flops (nine high or lower) are the best for 66 (77.69%); rainbow flops topped by a ten or better are the worst (43.94%). KJs is ahead on rainbow flops topped by a ten or better and two-tone flops, even though it trails 66 when every flop is counted.

66 against KJs by flop texture, in percent
FlopShare of flops66 winsTiesKJs wins66 equity
Rainbow, ten or higher24.59543.8330.20355.96443.935
Rainbow, nine or lower6.31477.3350.70421.96177.687
Two-tone46.54548.5920.28751.12148.736
Monotone5.21249.0342.47648.49050.272
Paired17.33454.3430.71744.94054.702

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -12.79 points for 66, from 63.29%, and -13.07 for KJs, from 62.57%.

66 and KJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops50.49763.285-12.7880.79793
66, rainbow, ten or higher43.93563.285-19.3500.69424
66, rainbow, nine or lower77.68763.285+14.4021.22757
66, two-tone48.73663.285-14.5490.77010
66, monotone50.27263.285-13.0130.79437
66, paired54.70263.285-8.5830.86438
KJs, all flops49.50362.567-13.0640.79120
KJs, rainbow, ten or higher56.06562.567-6.5020.89608
KJs, rainbow, nine or lower22.31362.567-40.2540.35663
KJs, two-tone51.26462.567-11.3030.81935
KJs, monotone49.72862.567-12.8390.79480
KJs, paired45.29862.567-17.2690.72399

Does a shared suit matter?

Looking only at deals where the hands share a suit, 66 has 50.67%; looking only at deals where they do not, 50.33%. 66 does better with a shared suit, by 0.34 points.

66 against KJs by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesKJs wins66 equity
Share a suit1250.0050.4040.52449.07250.666
No shared suit1250.0050.1090.43849.45350.328

How often this matchup comes up

Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says 66 gets $101.00 of it on average and KJs gets $99.00.

Scaled to 1,000 deals, that is roughly 502 wins for 66, 493 for KJs and 5 chopped pots.

The same matchup from the other side

KJs against 66 adds nothing new: it is 49.50% for KJs and 50.50% for 66, the same figures reversed.

6s6h against KdJd 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 24 specific 66 against KJs 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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