AKs vs A6s: preflop equity

The exact count puts AKs at 70.93% and A6s at 29.07% when the two hands see all five board cards.

AKs

70.93%

Wins 68.95%, ties 3.96%

A6s

29.07%

Wins 27.09%, ties 3.96%

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

AKs against A6s: the numbers

Exact preflop results for AKs against A6s, in percent
HandWinsTiesLosesEquity
AKs68.9483.96127.09170.929
A6s27.0913.96168.94829.071

AKs and A6s are both suited hands. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

That is a clear edge, 70.93% to 29.07%, but A6s still wins often enough that one hand proves nothing. The tie share is 3.96%: on those boards the pot is chopped and neither hand wins outright.

AKs ranks number 8 of 169 starting hands, and A6s ranks number 31, by equity against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs14,167,000814,0005,567,000
A6s5,567,000814,00014,167,000

The total is exact: 12 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 A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs2.4401.4503.6910.410
A6s0.4103.6911.4502.440

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

AKs prefers rainbow flops topped by a ten or better, where it holds 77.74%, and likes low rainbow flops (nine high or lower) least, where it holds 56.91%. AKs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AKs against A6s by flop texture, in percent
FlopShare of flopsAKs winsTiesA6s winsAKs equity
Rainbow, ten or higher23.86776.6352.20321.16277.736
Rainbow, nine or lower7.04255.5032.81241.68556.909
Two-tone46.54369.0562.12028.82470.116
Monotone5.21562.3784.26533.35764.511
Paired17.33365.51311.70122.78671.363

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

Relative to a random opponent, AKs changes by +3.88 points (baseline 67.05%) and A6s by -30.84 points (baseline 59.91%).

AKs and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops70.92967.045+3.8841.05793
AKs, rainbow, ten or higher77.73667.045+10.6911.15946
AKs, rainbow, nine or lower56.90967.045-10.1360.84882
AKs, two-tone70.11667.045+3.0711.04581
AKs, monotone64.51167.045-2.5340.96220
AKs, paired71.36367.045+4.3181.06440
A6s, all flops29.07159.906-30.8350.48528
A6s, rainbow, ten or higher22.26459.906-37.6420.37165
A6s, rainbow, nine or lower43.09159.906-16.8150.71931
A6s, two-tone29.88459.906-30.0220.49885
A6s, monotone35.48959.906-24.4170.59241
A6s, paired28.63759.906-31.2690.47803

Does a shared suit matter?

Every legal deal of AKs against A6s leaves the hands with no suit in common, so the suit split does not apply here.

AKs against A6s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTiesA6s winsAKs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0068.9483.96127.09170.929

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are AKs against A6s, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKs' average share is $141.86 (a gain of $41.86) and A6s' is $58.14 (a loss of $41.86).

Think in thousands: about 689 of 1,000 go to AKs, about 271 go to A6s, and about 40 are chopped.

The same matchup from the other side

Read it from the other side: A6s against AKs is the same matchup with the numbers swapped, so A6s holds 29.07% and AKs holds 70.93%. That address sends you back to this page.

Try AsKs against Ah6h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 12 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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