KK vs 66: preflop equity

Over all 1,712,304 boards that can follow this deal, KK finishes with 80.49% of the pot and 66 with 19.51%.

KK

80.49%

Wins 80.32%, ties 0.36%

66

19.51%

Wins 19.32%, ties 0.36%

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

KK against 66: the numbers

Exact preflop results for KK against 66, in percent
HandWinsTiesLosesEquity
KK80.3150.35519.33080.492
6619.3300.35580.31519.508

KK and 66 are both pocket pairs. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.

A gap this wide means 66 is in trouble before the flop and has few good runouts. 0.36% of boards are ties, so the equity of each hand is its win rate plus half of that.

Place 2 of 169 belongs to KK and place 17 belongs to 66 in the ranking against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK49,509,000219,00011,916,000
6611,916,000219,00049,509,000

The board total is exact, 36 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 66 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK4.1261.2455.1730.242
660.2425.1731.2454.126

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Split by what the flop looks like, KK peaks at 86.45% on paired flops and bottoms out at 65.03% on low rainbow flops (nine high or lower). 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 66 by flop texture, in percent
FlopShare of flopsKK winsTies66 winsKK equity
Rainbow, ten or higher24.59583.5370.20116.26283.637
Rainbow, nine or lower6.31464.6250.81734.55865.034
Two-tone46.36379.1330.31420.55379.290
Monotone5.15274.0541.76024.18674.934
Paired17.57686.3950.10013.50586.445

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

Each hand has a baseline against a random hand: 82.40% for KK, 63.29% for 66. Here the change is -1.91 and -43.78 points.

KK and 66 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops80.49282.396-1.9040.97689
KK, rainbow, ten or higher83.63782.396+1.2411.01506
KK, rainbow, nine or lower65.03482.396-17.3620.78929
KK, two-tone79.29082.396-3.1060.96230
KK, monotone74.93482.396-7.4620.90944
KK, paired86.44582.396+4.0491.04914
66, all flops19.50863.285-43.7770.30826
66, rainbow, ten or higher16.36363.285-46.9220.25856
66, rainbow, nine or lower34.96663.285-28.3190.55252
66, two-tone20.71063.285-42.5750.32725
66, monotone25.06663.285-38.2190.39608
66, paired13.55563.285-49.7300.21419

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common KK has 80.62% equity, and with none in common it has 79.84%. KK does better with a shared suit, by 0.78 points.

KK against 66 by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTies66 winsKK equity
Share a suit3083.3380.4390.37019.19180.624
No shared suit616.6779.6970.27720.02679.835

How often this matchup comes up

This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).

A worked example

With $100 from each side, the $200 pot is split on average as $160.98 for KK and $39.02 for 66; the first side gains $60.98 per all-in and the second gives up $60.98.

A thousand deals look like this: KK takes 803, 66 takes 193, 4 are ties.

The same matchup from the other side

If you came looking for 66 against KK, the numbers are the same with the hands swapped: 19.51% and 80.49%.

Open the calculator with KsKh against 6d6c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 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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