A8s vs A2s: preflop equity

Counting every board, the equity split is 63.68% for A8s and 36.32% for A2s, so A8s leads by 27.36 points.

A8s

63.68%

Wins 54.12%, ties 19.12%

A2s

36.32%

Wins 26.76%, ties 19.12%

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

A8s against A2s: the numbers

Exact preflop results for A8s against A2s, in percent
HandWinsTiesLosesEquity
A8s54.11519.12126.76463.676
A2s26.76419.12154.11536.324

Two suited hands meet here: A8s against A2s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. About 19.12% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, A8s is number 21 and A2s is number 46 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s11,119,0003,929,0005,499,000
A2s5,499,0003,929,00011,119,000

12 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 A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.7531.8483.7360.570
A2s0.5703.7361.8481.753

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

A8s prefers rainbow flops topped by a ten or better, where it holds 66.35%, and likes paired flops least, where it holds 59.57%. A8s stays ahead on all five textures.

A8s against A2s by flop texture, in percent
FlopShare of flopsA8s winsTiesA2s winsA8s equity
Rainbow, ten or higher24.52656.60219.50423.89466.354
Rainbow, nine or lower6.38362.1665.86431.97065.098
Two-tone46.54356.56514.87628.55964.003
Monotone5.21553.25013.64633.10460.073
Paired17.33341.31436.50522.18159.567

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of +1.74 points for A8s, from 61.94%, and -21.06 for A2s, from 57.38%.

A8s and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops63.67661.944+1.7321.02796
A8s, rainbow, ten or higher66.35461.944+4.4101.07119
A8s, rainbow, nine or lower65.09861.944+3.1541.05092
A8s, two-tone64.00361.944+2.0591.03324
A8s, monotone60.07361.944-1.8710.96980
A8s, paired59.56761.944-2.3770.96163
A2s, all flops36.32457.379-21.0550.63305
A2s, rainbow, ten or higher33.64657.379-23.7330.58638
A2s, rainbow, nine or lower34.90257.379-22.4770.60827
A2s, two-tone35.99757.379-21.3820.62735
A2s, monotone39.92757.379-17.4520.69585
A2s, paired40.43357.379-16.9460.70467

Does a shared suit matter?

There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.

A8s against A2s by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTiesA2s winsA8s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0054.11519.12126.76463.676

How often this matchup comes up

A8s against A2s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, A8s' average share is $127.36 (a gain of $27.36) and A2s' is $72.64 (a loss of $27.36).

Scaled to 1,000 deals, that is roughly 541 wins for A8s, 268 for A2s and 191 chopped pots.

The same matchup from the other side

If you came looking for A2s against A8s, the numbers are the same with the hands swapped: 36.32% and 63.68%.

Try As8s against Ah2h 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

This is an exact count with no sampling. For the 12 ways to deal one A8s and one A2s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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