ATo vs A6s: preflop equity

ATo against A6s: the numbers

ATo is an offsuit hand and A6s is a suited hand. 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.

That is a clear edge, 67.29% to 32.71%, but A6s still wins often enough that one hand proves nothing. Ties are 9.82% of the outcomes here; each tied board gives both hands half the pot.

In the ranking of all 169 starting hands, ATo is number 19 and A6s is number 31.

36 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.

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

The flop changes the picture. ATo does best on rainbow flops topped by a ten or better, at 74.39%, and worst on low rainbow flops (nine high or lower), at 56.85%. ATo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

A random hand would give ATo 62.72% and A6s 59.91%. Against each other the change is +4.57 points for ATo and -27.20 for A6s.

Does a shared suit matter?

Does suit overlap move the numbers? ATo has 68.10% when the hands share a suit and 66.88% when they do not. ATo does better with a shared suit, by 1.22 points.

How often this matchup comes up

How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are ATo against A6s, and 72 (0.0044%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: ATo averages $134.58 back, ahead of its $100 by $34.58, while A6s averages $65.42, short of its $100 by $34.58.

A thousand deals look like this: ATo takes 624, A6s takes 278, 98 are ties.

The same matchup from the other side

The reversed view, A6s against ATo, shows 32.71% for A6s and 67.29% for ATo. It is the same count, so it redirects here.

Keep exploring

Open the calculator with AsTh against Ad6d 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.

• Open AsTh against Ad6d in the equity calculator
• ATo combos
• A6s combos
• ATo vs KTo
• ATo vs QTs
• KJs vs A6s
• All hand matchups