AKs vs 64s: preflop equity

Over all 1,712,304 boards that can follow this deal, AKs finishes with 62.35% of the pot and 64s with 37.65%.

AKs

62.35%

Wins 62.08%, ties 0.53%

64s

37.65%

Wins 37.39%, ties 0.53%

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

AKs against 64s: the numbers

Exact preflop results for AKs against 64s, in percent
HandWinsTiesLosesEquity
AKs62.0830.52737.39062.346
64s37.3900.52762.08337.654

Each side holds one of the suited hands: AKs and 64s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.53%: on those boards the pot is chopped and neither hand wins outright.

In the ranking of all 169 starting hands, AKs is number 8 and 64s is number 138.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs17,009,000144,00010,244,000
64s10,244,000144,00017,009,000

The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

AKs against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs1.6561.6112.6750.604
64s0.6042.6751.6111.656

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

By flop texture, AKs' equity runs from 34.94% on low rainbow flops (nine high or lower) up to 69.41% on rainbow flops topped by a ten or better. Low rainbow flops (nine high or lower) favor 64s, the hand that is behind overall.

AKs against 64s by flop texture, in percent
FlopShare of flopsAKs winsTies64s winsAKs equity
Rainbow, ten or higher24.59569.3330.16030.50769.413
Rainbow, nine or lower6.31434.4730.92764.60034.936
Two-tone46.72761.4140.28638.30061.557
Monotone5.27357.8883.47938.63359.628
Paired17.09164.9730.65334.37465.300

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -4.70 points for AKs, from 67.05%, and -3.68 for 64s, from 41.33%.

AKs and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops62.34667.045-4.6990.92991
AKs, rainbow, ten or higher69.41367.045+2.3681.03532
AKs, rainbow, nine or lower34.93667.045-32.1090.52108
AKs, two-tone61.55767.045-5.4880.91814
AKs, monotone59.62867.045-7.4170.88937
AKs, paired65.30067.045-1.7450.97397
64s, all flops37.65441.333-3.6790.91099
64s, rainbow, ten or higher30.58741.333-10.7460.74001
64s, rainbow, nine or lower65.06441.333+23.7311.57414
64s, two-tone38.44341.333-2.8900.93008
64s, monotone40.37241.333-0.9610.97675
64s, paired34.70041.333-6.6330.83952

Does a shared suit matter?

When the hands share a suit, AKs holds 64.59%; when they do not, it holds 61.60%. AKs does better with a shared suit, by 2.99 points.

AKs against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTies64s winsAKs equity
Share a suit425.0064.2820.60735.11164.585
No shared suit1275.0061.3500.50038.15061.600

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. AKs' equity of 62.35% is worth $124.70, a $24.70 edge, and 64s' 37.65% is worth $75.30, which is $24.70 under its stake.

Think in thousands: about 621 of 1,000 go to AKs, about 374 go to 64s, and about 5 are chopped.

The same matchup from the other side

The reversed view, 64s against AKs, shows 37.65% for 64s and 62.35% for AKs. It is the same count, so it redirects here.

AsKs against 6h4h 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

Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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