AJs vs A6s: preflop equity

In equity, AJs against A6s stands at 69.89% to 30.11%, a gap of 39.78 points.

AJs

69.89%

Wins 66.46%, ties 6.86%

A6s

30.11%

Wins 26.68%, ties 6.86%

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

AJs against A6s: the numbers

Exact preflop results for AJs against A6s, in percent
HandWinsTiesLosesEquity
AJs66.4646.85726.67969.893
A6s26.6796.85766.46430.107

Here suited hands face each other, AJs on one side and A6s on the other. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 39.78 points is large but not decisive: A6s still takes about 267 of every 1,000 deals. Ties are 6.86% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, AJs holds place 11 of 169 and A6s holds place 31.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJs13,657,0001,409,0005,482,000
A6s5,482,0001,409,00013,657,000

12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

AJs against A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJs2.3211.5053.7480.431
A6s0.4313.7481.5052.321

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

Across the five flop textures AJs' equity moves by 19.12 points, from 57.58% on low rainbow flops (nine high or lower) to 76.70% on rainbow flops topped by a ten or better. AJs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AJs against A6s by flop texture, in percent
FlopShare of flopsAJs winsTiesA6s winsAJs equity
Rainbow, ten or higher23.86774.0595.28520.65676.702
Rainbow, nine or lower7.04256.2262.71741.05757.584
Two-tone46.54367.3224.30328.37569.474
Monotone5.21560.8736.06233.06563.904
Paired17.33359.54617.79622.65868.444

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

Compared with a random opponent, this matchup shifts AJs from 65.39% by +4.50 points and A6s from 59.91% by -29.80 points.

AJs and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJs, all flops69.89365.393+4.5001.06881
AJs, rainbow, ten or higher76.70265.393+11.3091.17294
AJs, rainbow, nine or lower57.58465.393-7.8090.88058
AJs, two-tone69.47465.393+4.0811.06241
AJs, monotone63.90465.393-1.4890.97723
AJs, paired68.44465.393+3.0511.04666
A6s, all flops30.10759.906-29.7990.50257
A6s, rainbow, ten or higher23.29859.906-36.6080.38891
A6s, rainbow, nine or lower42.41659.906-17.4900.70804
A6s, two-tone30.52659.906-29.3800.50956
A6s, monotone36.09659.906-23.8100.60254
A6s, paired31.55659.906-28.3500.52676

Does a shared suit matter?

The hands cannot hold a suit in common here, which leaves a single case and a single number: 69.89% for AJs.

AJs against A6s by suit overlap, in percent
DealsSpecific dealsShare of dealsAJs winsTiesA6s winsAJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0066.4646.85726.67969.893

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average AJs takes back $139.78 of it, which is $39.78 more than it put in, and A6s takes back $60.22, $39.78 less than it put in.

In 1,000 deals of exactly this matchup, expect about 665 won outright by AJs, about 267 won outright by A6s and about 68 split.

The same matchup from the other side

Read it from the other side: A6s against AJs is the same matchup with the numbers swapped, so A6s holds 30.11% and AJs holds 69.89%. That address sends you back to this page.

Open the calculator with AsJs against Ah6h 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

Nothing here is simulated. The 12 deals of AJs against A6s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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