KQs vs 66: preflop equity

Counting every board, the equity split is 50.91% for 66 and 49.09% for KQs, so 66 leads by 1.82 points.

KQs

49.09%

Wins 48.85%, ties 0.47%

66

50.91%

Wins 50.68%, ties 0.47%

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

KQs against 66: the numbers

Exact preflop results for KQs against 66, in percent
HandWinsTiesLosesEquity
KQs48.8520.46650.68249.085
6650.6820.46648.85250.915

One side is a suited hand, the other is a pocket pair. 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. 0.47% of boards are ties, so the equity of each hand is its win rate plus half of that.

By strength against a random hand, KQs holds place 16 of 169 and 66 holds place 17.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KQs20,076,000192,00020,828,000
6620,828,000192,00020,076,000

Exact total: 24 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.

KQs against 66 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KQs0.9642.0471.9731.037
661.0371.9732.0470.964

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

Split by what the flop looks like, 66 peaks at 78.43% on low rainbow flops (nine high or lower) and bottoms out at 44.39% on rainbow flops topped by a ten or better. 66 is the favorite overall but falls behind on rainbow flops topped by a ten or better and two-tone flops.

KQs against 66 by flop texture, in percent
FlopShare of flopsKQs winsTies66 winsKQs equity
Rainbow, ten or higher24.59555.5220.16944.30955.606
Rainbow, nine or lower6.31421.2010.74578.05421.574
Two-tone46.54550.6640.26949.06750.798
Monotone5.21248.1682.46549.36749.401
Paired17.33444.8030.71354.48445.159

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, KQs holds 63.40% and 66 holds 63.29%. Facing each other changes that by -14.31 points for KQs and -12.38 points for 66.

KQs and 66 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KQs, all flops49.08563.400-14.3150.77421
KQs, rainbow, ten or higher55.60663.400-7.7940.87707
KQs, rainbow, nine or lower21.57463.400-41.8260.34028
KQs, two-tone50.79863.400-12.6020.80123
KQs, monotone49.40163.400-13.9990.77920
KQs, paired45.15963.400-18.2410.71229
66, all flops50.91563.285-12.3700.80454
66, rainbow, ten or higher44.39463.285-18.8910.70149
66, rainbow, nine or lower78.42663.285+15.1411.23925
66, two-tone49.20263.285-14.0830.77747
66, monotone50.59963.285-12.6860.79954
66, paired54.84163.285-8.4440.86657

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and 66 holds 51.09%. In 12 they do not, and it holds 50.74%. 66 does better with a shared suit, by 0.35 points.

KQs against 66 by suit overlap, in percent
DealsSpecific dealsShare of dealsKQs winsTies66 winsKQs equity
Share a suit1250.0048.6560.51050.83448.911
No shared suit1250.0049.0490.42150.53049.260

How often this matchup comes up

Counting specific cards, KQs against 66 appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).

A worked example

Put $100 each into a $200 pot and deal every board once: 66 averages $101.82 back, ahead of its $100 by $1.82, while KQs averages $98.18, short of its $100 by $1.82.

Per 1,000 deals: 66 wins about 507, KQs wins about 488, and about 5 end in a split pot.

The same matchup from the other side

Read it from the other side: 66 against KQs is the same matchup with the numbers swapped, so 66 holds 50.91% and KQs holds 49.09%. That address sends you back to this page.

Try KsQs against 6h6d 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

We counted every case. Each suit pattern of the 24 specific KQs against 66 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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