AKo vs 64s: preflop equity

If AKo and 64s get all the chips in before the flop, AKo owns 59.77% of the pot in the long run and 64s owns 40.23%.

AKo

59.77%

Wins 59.53%, ties 0.49%

64s

40.23%

Wins 39.98%, ties 0.49%

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

AKo against 64s: the numbers

Exact preflop results for AKo against 64s, in percent
HandWinsTiesLosesEquity
AKo59.5250.48639.98959.768
64s39.9890.48659.52540.232

One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A 19.54 point lead is real, and 64s still takes about 400 of every 1,000 deals outright. The tie share is 0.49%: on those boards the pot is chopped and neither hand wins outright.

Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and 64s is number 138.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKo48,924,000399,00032,867,000
64s32,867,000399,00048,924,000

The board total is exact, 48 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 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKo1.4861.6802.5010.673
64s0.6732.5011.6801.486

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

AKo prefers rainbow flops topped by a ten or better, where it holds 68.08%, and likes low rainbow flops (nine high or lower) least, where it holds 32.38%. On low rainbow flops (nine high or lower) the numbers flip and 64s is the one ahead.

AKo against 64s by flop texture, in percent
FlopShare of flopsAKo winsTies64s winsAKo equity
Rainbow, ten or higher24.71767.9980.16731.83568.081
Rainbow, nine or lower6.31331.8940.97167.13532.380
Two-tone46.66757.8830.31141.80658.039
Monotone5.21256.8372.43640.72758.055
Paired17.09162.7810.65336.56663.108

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 -5.55 points and 64s from 41.33% by -1.10 points.

AKo and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKo, all flops59.76865.320-5.5520.91500
AKo, rainbow, ten or higher68.08165.320+2.7611.04227
AKo, rainbow, nine or lower32.38065.320-32.9400.49571
AKo, two-tone58.03965.320-7.2810.88853
AKo, monotone58.05565.320-7.2650.88878
AKo, paired63.10865.320-2.2120.96614
64s, all flops40.23241.333-1.1010.97336
64s, rainbow, ten or higher31.91941.333-9.4140.77224
64s, rainbow, nine or lower67.62041.333+26.2871.63598
64s, two-tone41.96141.333+0.6281.01519
64s, monotone41.94541.333+0.6121.01481
64s, paired36.89241.333-4.4410.89256

Does a shared suit matter?

The suit split reads 60.48% for AKo with a shared suit and 59.06% without one. AKo does better with a shared suit, by 1.42 points.

AKo against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKo winsTies64s winsAKo equity
Share a suit2450.0060.2130.52639.26160.476
No shared suit2450.0058.8370.44740.71659.060

How often this matchup comes up

You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average AKo takes back $119.54 of it, which is $19.54 more than it put in, and 64s takes back $80.46, $19.54 less than it put in.

A thousand deals look like this: AKo takes 595, 64s takes 400, 5 are ties.

The same matchup from the other side

One page covers both views. From 64s' side the equity is 40.23%, and from AKo's side it is 59.77%.

AsKh against 6d4d 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 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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