ATo vs A2s: preflop equity

Averaged over every possible board, ATo is ahead of A2s by 34.20 points of equity, 67.10% to 32.90%.

ATo

67.10%

Wins 61.86%, ties 10.48%

A2s

32.90%

Wins 27.66%, ties 10.48%

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

ATo against A2s: the numbers

Exact preflop results for ATo against A2s, in percent
HandWinsTiesLosesEquity
ATo61.85910.47527.66667.096
A2s27.66610.47561.85932.904

ATo, an offsuit hand, plays A2s, a suited hand. 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, 67.10% to 32.90%, but A2s still wins often enough that one hand proves nothing. The tie share is 10.48%: on those boards the pot is chopped and neither hand wins outright.

For context, ATo sits at number 19 of 169 starting hands and A2s at number 46 when each is run against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
ATo38,132,0006,457,00017,054,000
A2s17,054,0006,457,00038,132,000

Exact total: 36 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.

ATo against A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
ATo2.0391.6173.6150.490
A2s0.4903.6151.6172.039

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

By flop texture, ATo's equity runs from 56.95% on low rainbow flops (nine high or lower) up to 73.97% on rainbow flops topped by a ten or better. ATo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

ATo against A2s by flop texture, in percent
FlopShare of flopsATo winsTiesA2s winsATo equity
Rainbow, ten or higher23.90569.6078.72021.67373.967
Rainbow, nine or lower7.04254.7874.33340.88056.954
Two-tone46.52762.8017.30429.89566.453
Monotone5.19258.9637.72933.30862.828
Paired17.33452.38524.72222.89364.746

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

Start from the random-hand figures, 62.72% for ATo and 57.38% for A2s. This opponent changes them by +4.38 and -24.48 points.

ATo and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
ATo, all flops67.09662.722+4.3741.06974
ATo, rainbow, ten or higher73.96762.722+11.2451.17928
ATo, rainbow, nine or lower56.95462.722-5.7680.90804
ATo, two-tone66.45362.722+3.7311.05948
ATo, monotone62.82862.722+0.1061.00169
ATo, paired64.74662.722+2.0241.03227
A2s, all flops32.90457.379-24.4750.57345
A2s, rainbow, ten or higher26.03357.379-31.3460.45370
A2s, rainbow, nine or lower43.04657.379-14.3330.75020
A2s, two-tone33.54757.379-23.8320.58466
A2s, monotone37.17257.379-20.2070.64783
A2s, paired35.25457.379-22.1250.61441

Does a shared suit matter?

Does suit overlap move the numbers? ATo has 67.91% when the hands share a suit and 66.69% when they do not. ATo does better with a shared suit, by 1.22 points.

ATo against A2s by suit overlap, in percent
DealsSpecific dealsShare of dealsATo winsTiesA2s winsATo equity
Share a suit1233.3362.60410.60726.78967.907
No shared suit2466.6761.48610.40928.10566.690

How often this matchup comes up

You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. ATo's equity of 67.10% is worth $134.20, a $34.20 edge, and A2s' 32.90% is worth $65.80, which is $34.20 under its stake.

Think in thousands: about 618 of 1,000 go to ATo, about 277 go to A2s, and about 105 are chopped.

The same matchup from the other side

The reversed view, A2s against ATo, shows 32.90% for A2s and 67.10% for ATo. It is the same count, so it redirects here.

The calculator link fills in AsTh against Ad2d, 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

We counted every case. Each suit pattern of the 36 specific ATo against A2s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

Bring your own hands to a session

Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.

Book a session