A8s vs 53s: preflop equity

Counting every board, the equity split is 62.90% for A8s and 37.10% for 53s, so A8s leads by 25.80 points.

A8s

62.90%

Wins 62.62%, ties 0.56%

53s

37.10%

Wins 36.82%, ties 0.56%

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

A8s against 53s: the numbers

Exact preflop results for A8s against 53s, in percent
HandWinsTiesLosesEquity
A8s62.6200.55836.82262.899
53s36.8220.55862.62037.101

Two suited hands meet here: A8s against 53s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 0.56%: on those boards the pot is chopped and neither hand wins outright.

By strength against a random hand, A8s holds place 21 of 169 and 53s holds place 146.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s17,156,000153,00010,088,000
53s10,088,000153,00017,156,000

16 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.

A8s against 53s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.6951.5972.7160.590
53s0.5902.7161.5971.695

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, A8s peaks at 66.09% on rainbow flops topped by a ten or better and bottoms out at 49.36% on low rainbow flops (nine high or lower). 53s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

A8s against 53s by flop texture, in percent
FlopShare of flopsA8s winsTies53s winsA8s equity
Rainbow, ten or higher25.22065.9660.23933.79566.085
Rainbow, nine or lower5.68948.9470.82450.22949.359
Two-tone46.72761.9140.31337.77362.071
Monotone5.27358.1603.55838.28259.939
Paired17.09165.5390.68233.77965.880

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

Start from the random-hand figures, 61.94% for A8s and 39.69% for 53s. This opponent changes them by +0.96 and -2.59 points.

A8s and 53s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops62.89961.944+0.9551.01542
A8s, rainbow, ten or higher66.08561.944+4.1411.06685
A8s, rainbow, nine or lower49.35961.944-12.5850.79683
A8s, two-tone62.07161.944+0.1271.00205
A8s, monotone59.93961.944-2.0050.96763
A8s, paired65.88061.944+3.9361.06354
53s, all flops37.10139.693-2.5920.93470
53s, rainbow, ten or higher33.91539.693-5.7780.85443
53s, rainbow, nine or lower50.64139.693+10.9481.27582
53s, two-tone37.92939.693-1.7640.95556
53s, monotone40.06139.693+0.3681.00927
53s, paired34.12039.693-5.5730.85960

Does a shared suit matter?

Looking only at deals where the hands share a suit, A8s has 65.22%; looking only at deals where they do not, 62.12%. A8s does better with a shared suit, by 3.10 points.

A8s against 53s by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTies53s winsA8s equity
Share a suit425.0064.9050.63534.46065.223
No shared suit1275.0061.8580.53237.61062.124

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says A8s gets $125.80 of it on average and 53s gets $74.20.

Per 1,000 deals: A8s wins about 626, 53s wins about 368, and about 6 end in a split pot.

The same matchup from the other side

The mirror image, 53s against A8s, is 37.10% to 62.90%, and its address redirects to this page.

Open the calculator with As8s against 5h3h 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

Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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