66 vs KJo: preflop equity

Over all 1,712,304 boards that can follow this deal, 66 finishes with 53.03% of the pot and KJo with 46.97%.

66

53.03%

Wins 52.80%, ties 0.46%

KJo

46.97%

Wins 46.74%, ties 0.46%

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

66 against KJo: the numbers

Exact preflop results for 66 against KJo, in percent
HandWinsTiesLosesEquity
6652.7960.45946.74553.025
KJo46.7450.45952.79646.975

The first hand is a pocket pair; the second is an offsuit 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.

With only 6.06 points between them, the board decides this matchup far more than the cards in hand. The tie share is 0.46%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, 66 is number 17 and KJo is number 26 by strength against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6665,090,000566,00057,630,000
KJo57,630,000566,00065,090,000

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 KJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.1291.8942.1390.886
KJo0.8862.1391.8941.129

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, 66 peaks at 80.39% on low rainbow flops (nine high or lower) and bottoms out at 45.33% on rainbow flops topped by a ten or better. KJo is ahead on rainbow flops topped by a ten or better, even though it trails 66 when every flop is counted.

66 against KJo by flop texture, in percent
FlopShare of flops66 winsTiesKJo wins66 equity
Rainbow, ten or higher24.71745.2200.21154.56945.325
Rainbow, nine or lower6.31480.0200.73719.24380.389
Two-tone46.48552.0400.30647.65452.193
Monotone5.15149.2091.76249.02950.090
Paired17.33356.7750.73342.49257.142

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

Against one random hand instead, 66 holds 63.29% and KJo holds 60.57%. Facing each other changes that by -10.26 points for 66 and -13.60 points for KJo.

66 and KJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops53.02563.285-10.2600.83788
66, rainbow, ten or higher45.32563.285-17.9600.71620
66, rainbow, nine or lower80.38963.285+17.1041.27027
66, two-tone52.19363.285-11.0920.82473
66, monotone50.09063.285-13.1950.79150
66, paired57.14263.285-6.1430.90293
KJo, all flops46.97560.569-13.5940.77556
KJo, rainbow, ten or higher54.67560.569-5.8940.90269
KJo, rainbow, nine or lower19.61160.569-40.9580.32378
KJo, two-tone47.80760.569-12.7620.78930
KJo, monotone49.91060.569-10.6590.82402
KJo, paired42.85860.569-17.7110.70759

Does a shared suit matter?

Two kinds of deal exist here. In 60 of them the hands share a suit and 66 holds 52.94%. In 12 they do not, and it holds 53.45%. 66 does better with no shared suit, by 0.51 points.

66 against KJo by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesKJo wins66 equity
Share a suit6083.3352.7020.47446.82452.939
No shared suit1216.6753.2620.38246.35653.453

How often this matchup comes up

How often does it happen? 72 of the 1,624,350 ordered deals (0.0044%) are 66 against KJo, and 144 (0.0089%) if either hand may sit in either seat.

A worked example

With $100 from each side, the $200 pot is split on average as $106.06 for 66 and $93.94 for KJo; the first side gains $6.06 per all-in and the second gives up $6.06.

Scaled to 1,000 deals, that is roughly 528 wins for 66, 467 for KJo and 5 chopped pots.

The same matchup from the other side

KJo versus 66 is this same page seen from the other hand: 46.97% for KJo, 53.03% for 66.

6s6h against KdJc 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 72 specific 66 against KJo 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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