AKs vs 76s: preflop equity

Counting every board, the equity split is 61.06% for AKs and 38.94% for 76s, so AKs leads by 22.12 points.

AKs

61.06%

Wins 60.83%, ties 0.47%

76s

38.94%

Wins 38.70%, ties 0.47%

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

AKs against 76s: the numbers

Exact preflop results for AKs against 76s, in percent
HandWinsTiesLosesEquity
AKs60.8260.46538.70961.059
76s38.7090.46560.82638.941

AKs and 76s are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

AKs is ahead, but 76s is far from dead: it takes 387 of every 1,000 deals outright. A split pot comes up on 0.47% of boards, so the wins and the equity differ by half of that.

Ranked by equity against a random hand, AKs is number 8 of the 169 starting hands and 76s is number 115.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs16,664,000127,00010,605,000
76s10,605,000127,00016,664,000

The board total is exact, 16 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 76s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs1.5681.6442.5830.638
76s0.6382.5831.6441.568

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 34.07% on low rainbow flops (nine high or lower) up to 67.84% on rainbow flops topped by a ten or better. Low rainbow flops (nine high or lower) favor 76s, the hand that is behind overall.

AKs against 76s by flop texture, in percent
FlopShare of flopsAKs winsTies76s winsAKs equity
Rainbow, ten or higher24.59567.7750.13332.09267.841
Rainbow, nine or lower6.31433.7510.64365.60634.072
Two-tone46.72760.1820.22039.59860.292
Monotone5.27356.9633.40739.63058.666
Paired17.09163.7810.64135.57864.101

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

A random hand would give AKs 67.05% and 76s 45.37%. Against each other the change is -5.99 points for AKs and -6.43 for 76s.

AKs and 76s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops61.05967.045-5.9860.91072
AKs, rainbow, ten or higher67.84167.045+0.7961.01187
AKs, rainbow, nine or lower34.07267.045-32.9730.50820
AKs, two-tone60.29267.045-6.7530.89928
AKs, monotone58.66667.045-8.3790.87502
AKs, paired64.10167.045-2.9440.95609
76s, all flops38.94145.372-6.4310.85826
76s, rainbow, ten or higher32.15945.372-13.2130.70879
76s, rainbow, nine or lower65.92845.372+20.5561.45305
76s, two-tone39.70845.372-5.6640.87517
76s, monotone41.33445.372-4.0380.91100
76s, paired35.89945.372-9.4730.79121

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common AKs has 63.15% equity, and with none in common it has 60.36%. AKs does better with a shared suit, by 2.79 points.

AKs against 76s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTies76s winsAKs equity
Share a suit425.0062.8750.54236.58363.146
No shared suit1275.0060.1430.43939.41860.363

How often this matchup comes up

Counting specific cards, AKs against 76s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says AKs gets $122.12 of it on average and 76s gets $77.88.

Out of 1,000 deals you should see around 608 outright wins for AKs, 387 for 76s, and 5 split pots.

The same matchup from the other side

Read it from the other side: 76s against AKs is the same matchup with the numbers swapped, so 76s holds 38.94% and AKs holds 61.06%. That address sends you back to this page.

AsKs against 7h6h 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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