66 vs KQo: preflop equity

If 66 and KQo get all the chips in before the flop, 66 owns 53.48% of the pot in the long run and KQo owns 46.52%.

66

53.48%

Wins 53.26%, ties 0.44%

KQo

46.52%

Wins 46.30%, ties 0.44%

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

66 against KQo: the numbers

Exact preflop results for 66 against KQo, in percent
HandWinsTiesLosesEquity
6653.2550.44446.30153.477
KQo46.3010.44453.25546.523

66 and KQo are a pocket pair and an offsuit hand, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

With only 6.96 points between them, the board decides this matchup far more than the cards in hand. 0.44% of boards are ties, so the equity of each hand is its win rate plus half of that.

Ranked by equity against a random hand, 66 is number 17 of the 169 starting hands and KQo is number 23.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6665,656,000547,00057,083,000
KQo57,083,000547,00065,656,000

The board total is exact, 72 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 KQo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.1491.8782.1600.870
KQo0.8702.1601.8781.149

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

Across the five flop textures 66's equity moves by 35.36 points, from 45.80% on rainbow flops topped by a ten or better to 81.16% on low rainbow flops (nine high or lower). 66 is the favorite overall but falls behind on rainbow flops topped by a ten or better.

66 against KQo by flop texture, in percent
FlopShare of flops66 winsTiesKQo wins66 equity
Rainbow, ten or higher24.71745.7140.17654.11045.802
Rainbow, nine or lower6.31480.7700.78218.44881.161
Two-tone46.48552.5640.28947.14752.709
Monotone5.15149.5921.75348.65550.468
Paired17.33356.9280.72942.34357.292

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts 66 from 63.29% by -9.81 points and KQo from 61.46% by -14.94 points.

66 and KQo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops53.47763.285-9.8080.84502
66, rainbow, ten or higher45.80263.285-17.4830.72374
66, rainbow, nine or lower81.16163.285+17.8761.28247
66, two-tone52.70963.285-10.5760.83288
66, monotone50.46863.285-12.8170.79747
66, paired57.29263.285-5.9930.90530
KQo, all flops46.52361.456-14.9330.75701
KQo, rainbow, ten or higher54.19861.456-7.2580.88190
KQo, rainbow, nine or lower18.83961.456-42.6170.30654
KQo, two-tone47.29161.456-14.1650.76951
KQo, monotone49.53261.456-11.9240.80598
KQo, paired42.70861.456-18.7480.69494

Does a shared suit matter?

Split by suits, the deals give 66 53.39% when the hands overlap in a suit and 53.90% when they do not. 66 does better with no shared suit, by 0.51 points.

66 against KQo by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesKQo wins66 equity
Share a suit6083.3353.1630.46046.37753.393
No shared suit1216.6753.7140.36745.91953.897

How often this matchup comes up

Counting specific cards, 66 against KQo appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).

A worked example

Take a $200 pot built from $100 each. 66's equity of 53.48% is worth $106.96, a $6.96 edge, and KQo's 46.52% is worth $93.04, which is $6.96 under its stake.

In 1,000 deals of exactly this matchup, expect about 533 won outright by 66, about 463 won outright by KQo and about 4 split.

The same matchup from the other side

One page covers both views. From KQo's side the equity is 46.52%, and from 66's side it is 53.48%.

6s6h against KdQc 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of 66 against KQo, 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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