A7s vs A6s: preflop equity

The exact count puts A7s at 61.53% and A6s at 38.47% when the two hands see all five board cards.

A7s

61.53%

Wins 49.11%, ties 24.84%

A6s

38.47%

Wins 26.05%, ties 24.84%

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

A7s against A6s: the numbers

Exact preflop results for A7s against A6s, in percent
HandWinsTiesLosesEquity
A7s49.11024.84326.04761.531
A6s26.04724.84349.11038.469

A7s and A6s are both suited hands. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.

A7s is ahead, but A6s is far from dead: it takes 261 of every 1,000 deals outright. About 24.84% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

In the ranking of all 169 starting hands, A7s is number 24 and A6s is number 31.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A7s10,091,0005,105,0005,352,000
A6s5,352,0005,105,00010,091,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

A7s against A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A7s1.5992.0363.8390.625
A6s0.6253.8392.0361.599

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

By flop texture, A7s' equity runs from 56.73% on paired flops up to 65.47% on low rainbow flops (nine high or lower). A7s stays ahead on all five textures.

A7s against A6s by flop texture, in percent
FlopShare of flopsA7s winsTiesA6s winsA7s equity
Rainbow, ten or higher24.52649.98427.05622.96063.512
Rainbow, nine or lower6.38361.3188.29930.38365.467
Two-tone46.54351.83120.46027.70962.061
Monotone5.21549.89817.43432.66858.615
Paired17.33335.83241.80422.36456.734

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

Each hand has a baseline against a random hand: 60.98% for A7s, 59.91% for A6s. Here the change is +0.55 and -21.44 points.

A7s and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A7s, all flops61.53160.984+0.5471.00897
A7s, rainbow, ten or higher63.51260.984+2.5281.04145
A7s, rainbow, nine or lower65.46760.984+4.4831.07351
A7s, two-tone62.06160.984+1.0771.01766
A7s, monotone58.61560.984-2.3690.96115
A7s, paired56.73460.984-4.2500.93031
A6s, all flops38.46959.906-21.4370.64216
A6s, rainbow, ten or higher36.48859.906-23.4180.60909
A6s, rainbow, nine or lower34.53359.906-25.3730.57645
A6s, two-tone37.93959.906-21.9670.63331
A6s, monotone41.38559.906-18.5210.69083
A6s, paired43.26659.906-16.6400.72223

Does a shared suit matter?

For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.

A7s against A6s by suit overlap, in percent
DealsSpecific dealsShare of dealsA7s winsTiesA6s winsA7s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0049.11024.84326.04761.531

How often this matchup comes up

Counting specific cards, A7s against A6s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. A7s averages $123.06 from the $200, up $23.06; A6s averages $76.94, down $23.06.

Out of 1,000 deals you should see around 491 outright wins for A7s, 261 for A6s, and 248 split pots.

The same matchup from the other side

The mirror image, A6s against A7s, is 38.47% to 61.53%, and its address redirects to this page.

The calculator link fills in As7s against Ah6h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of A7s against A6s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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