AKo vs 66: preflop equity

Averaged over every possible board, 66 is ahead of AKo by 9.98 points of equity, 54.99% to 45.01%.

AKo

45.01%

Wins 44.82%, ties 0.39%

66

54.99%

Wins 54.79%, ties 0.39%

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

AKo against 66: the numbers

Exact preflop results for AKo against 66, in percent
HandWinsTiesLosesEquity
AKo44.8170.38954.79445.011
6654.7940.38944.81754.989

AKo, an offsuit 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.

66 leads by less than 10 points of equity, so the result of any one deal is close to a toss-up. Split pots make up 0.39% of the boards, and both equity figures count them as half a win each.

Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and 66 is number 17.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKo55,253,000480,00067,553,000
6667,553,000480,00055,253,000

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.

AKo against 66 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKo0.8192.2311.8251.222
661.2221.8252.2310.819

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

Break the boards down by their first three cards and 66 is strongest on low rainbow flops (nine high or lower) (81.78%) and weakest on rainbow flops topped by a ten or better (47.82%). Rainbow flops topped by a ten or better favor AKo, the hand that is behind overall.

AKo against 66 by flop texture, in percent
FlopShare of flopsAKo winsTies66 winsAKo equity
Rainbow, ten or higher24.71752.0980.16047.74252.178
Rainbow, nine or lower6.31417.8090.81781.37418.217
Two-tone46.48545.4780.28354.23945.619
Monotone5.15147.4461.73750.81748.315
Paired17.33341.7160.44757.83741.939

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 AKo from 65.32% by -20.31 points and 66 from 63.29% by -8.30 points.

AKo and 66 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKo, all flops45.01165.320-20.3090.68908
AKo, rainbow, ten or higher52.17865.320-13.1420.79881
AKo, rainbow, nine or lower18.21765.320-47.1030.27889
AKo, two-tone45.61965.320-19.7010.69839
AKo, monotone48.31565.320-17.0050.73967
AKo, paired41.93965.320-23.3810.64205
66, all flops54.98963.285-8.2960.86891
66, rainbow, ten or higher47.82263.285-15.4630.75566
66, rainbow, nine or lower81.78363.285+18.4981.29230
66, two-tone54.38163.285-8.9040.85930
66, monotone51.68563.285-11.6000.81670
66, paired58.06163.285-5.2240.91745

Does a shared suit matter?

Does suit overlap move the numbers? 66 has 54.91% when the hands share a suit and 55.39% when they do not. 66 does better with no shared suit, by 0.48 points.

AKo against 66 by suit overlap, in percent
DealsSpecific dealsShare of dealsAKo winsTies66 winsAKo equity
Share a suit6083.3344.8890.40554.70645.091
No shared suit1216.6744.4570.31255.23144.613

How often this matchup comes up

This page stands for 72 specific-card matchups (0.0044% of 1,624,350 ordered deals), or 144 once you count the seats both ways (0.0089%).

A worked example

Put $100 each into a $200 pot and deal every board once: 66 averages $109.98 back, ahead of its $100 by $9.98, while AKo averages $90.02, short of its $100 by $9.98.

Per 1,000 deals: 66 wins about 548, AKo wins about 448, and about 4 end in a split pot.

The same matchup from the other side

66 against AKo adds nothing new: it is 54.99% for 66 and 45.01% for AKo, the same figures reversed.

Open the calculator with AsKh 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

Method: exact enumeration. The 72 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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