ATo vs A5s: preflop equity

Before any board card is dealt, ATo holds 66.11% equity against A5s, which leaves A5s with 33.89%.

ATo

66.11%

Wins 61.00%, ties 10.22%

A5s

33.89%

Wins 28.78%, ties 10.22%

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

ATo against A5s: the numbers

Exact preflop results for ATo against A5s, in percent
HandWinsTiesLosesEquity
ATo60.99810.22128.78166.109
A5s28.78110.22160.99833.891

ATo and A5s are an offsuit hand and a suited hand, in that order. 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.

A lead of 32.22 points is large but not decisive: A5s still takes about 288 of every 1,000 deals. Ties are 10.22% 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 A5s is number 30.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
ATo37,601,0006,301,00017,741,000
A5s17,741,0006,301,00037,601,000

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.

ATo against A5s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
ATo1.9511.6393.4750.513
A5s0.5133.4751.6391.951

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

Split by what the flop looks like, ATo peaks at 73.34% on rainbow flops topped by a ten or better and bottoms out at 54.33% on low rainbow flops (nine high or lower). 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 A5s by flop texture, in percent
FlopShare of flopsATo winsTiesA5s winsATo equity
Rainbow, ten or higher23.90569.0408.60322.35773.341
Rainbow, nine or lower7.04252.3353.99043.67554.330
Two-tone46.52761.8867.14130.97365.457
Monotone5.19258.3107.57634.11462.098
Paired17.33451.84624.04624.10863.869

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

How much does the opponent matter? Compared with its random-hand 62.72%, ATo changes by +3.39 points, and A5s, from 59.92%, by -26.03.

ATo and A5s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
ATo, all flops66.10962.722+3.3871.05400
ATo, rainbow, ten or higher73.34162.722+10.6191.16930
ATo, rainbow, nine or lower54.33062.722-8.3920.86620
ATo, two-tone65.45762.722+2.7351.04361
ATo, monotone62.09862.722-0.6240.99005
ATo, paired63.86962.722+1.1471.01829
A5s, all flops33.89159.923-26.0320.56558
A5s, rainbow, ten or higher26.65959.923-33.2640.44489
A5s, rainbow, nine or lower45.67059.923-14.2530.76214
A5s, two-tone34.54359.923-25.3800.57646
A5s, monotone37.90259.923-22.0210.63251
A5s, paired36.13159.923-23.7920.60296

Does a shared suit matter?

When the hands share a suit, ATo holds 66.91%; when they do not, it holds 65.71%. ATo does better with a shared suit, by 1.20 points.

ATo against A5s by suit overlap, in percent
DealsSpecific dealsShare of dealsATo winsTiesA5s winsATo equity
Share a suit1233.3361.73010.35227.91866.906
No shared suit2466.6760.63210.15629.21265.710

How often this matchup comes up

ATo against A5s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, ATo's average share is $132.22 (a gain of $32.22) and A5s' is $67.78 (a loss of $32.22).

A thousand deals look like this: ATo takes 610, A5s takes 288, 102 are ties.

The same matchup from the other side

Read it from the other side: A5s against ATo is the same matchup with the numbers swapped, so A5s holds 33.89% and ATo holds 66.11%. That address sends you back to this page.

Try AsTh against Ad5d 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

Nothing here is simulated. The 36 deals of ATo against A5s 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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