AKs vs 66: preflop equity

The exact count puts 66 at 52.31% and AKs at 47.69% when the two hands see all five board cards.

AKs

47.69%

Wins 47.49%, ties 0.41%

66

52.31%

Wins 52.10%, ties 0.41%

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

AKs against 66: the numbers

Exact preflop results for AKs against 66, in percent
HandWinsTiesLosesEquity
AKs47.4880.41252.10047.694
6652.1000.41247.48852.306

AKs, a suited hand, plays 66, a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

With only 4.62 points between them, the board decides this matchup far more than the cards in hand. Ties are part of the picture: 0.41% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, AKs is number 8 and 66 is number 17 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs19,515,000169,00021,411,000
6621,411,000169,00019,515,000

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.

AKs against 66 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs0.9122.1061.9191.097
661.0971.9192.1060.912

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

The flop changes the picture. 66 does best on low rainbow flops (nine high or lower), at 79.02%, and worst on rainbow flops topped by a ten or better, at 46.34%. AKs takes over on rainbow flops topped by a ten or better, so the favorite before the flop is the underdog on those boards.

AKs against 66 by flop texture, in percent
FlopShare of flopsAKs winsTies66 winsAKs equity
Rainbow, ten or higher24.59553.5870.15346.26053.664
Rainbow, nine or lower6.31420.5920.77978.62920.981
Two-tone46.54549.1690.25750.57449.297
Monotone5.21247.1412.44750.41248.364
Paired17.33444.2240.44755.32944.448

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 -19.36 points for AKs, from 67.05%, and -10.98 for 66, from 63.29%.

AKs and 66 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops47.69467.045-19.3510.71137
AKs, rainbow, ten or higher53.66467.045-13.3810.80042
AKs, rainbow, nine or lower20.98167.045-46.0640.31294
AKs, two-tone49.29767.045-17.7480.73528
AKs, monotone48.36467.045-18.6810.72137
AKs, paired44.44867.045-22.5970.66296
66, all flops52.30663.285-10.9790.82651
66, rainbow, ten or higher46.33663.285-16.9490.73218
66, rainbow, nine or lower79.01963.285+15.7341.24862
66, two-tone50.70363.285-12.5820.80119
66, monotone51.63663.285-11.6490.81593
66, paired55.55263.285-7.7330.87781

Does a shared suit matter?

Looking only at deals where the hands share a suit, 66 has 52.50%; looking only at deals where they do not, 52.11%. 66 does better with a shared suit, by 0.39 points.

AKs against 66 by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTies66 winsAKs equity
Share a suit1250.0047.2720.45752.27147.500
No shared suit1250.0047.7040.36751.92947.888

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are AKs in one seat and 66 in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

Put $100 each into a $200 pot and deal every board once: 66 averages $104.62 back, ahead of its $100 by $4.62, while AKs averages $95.38, short of its $100 by $4.62.

Scaled to 1,000 deals, that is roughly 521 wins for 66, 475 for AKs and 4 chopped pots.

The same matchup from the other side

If you came looking for 66 against AKs, the numbers are the same with the hands swapped: 52.31% and 47.69%.

The calculator link fills in AsKs against 6h6d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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