A8s vs 55: preflop equity

Dealt all in against each other, 55 takes 52.58% of the pot on average and A8s takes the other 47.42%.

A8s

47.42%

Wins 47.19%, ties 0.47%

55

52.58%

Wins 52.34%, ties 0.47%

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

A8s against 55: the numbers

Exact preflop results for A8s against 55, in percent
HandWinsTiesLosesEquity
A8s47.1880.47152.34147.423
5552.3410.47147.18852.577

Here a suited hand (A8s) meets a pocket pair (55). One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

With only 5.16 points between them, the board decides this matchup far more than the cards in hand. Of every 100 boards, about 0.47 are split pots, and the equity figures already include them.

The hand ranking puts A8s at 21 and 55 at 27 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s19,392,000194,00021,510,000
5521,510,000194,00019,392,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

A8s against 55 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s0.9022.1191.9111.109
551.1091.9112.1190.902

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

55 prefers low rainbow flops (nine high or lower), where it holds 61.44%, and likes two-tone flops least, where it holds 51.17%. 55 stays ahead on all five textures.

A8s against 55 by flop texture, in percent
FlopShare of flopsA8s winsTies55 winsA8s equity
Rainbow, ten or higher25.22048.1640.24751.58948.287
Rainbow, nine or lower5.68938.2230.67861.09938.562
Two-tone46.54548.6830.30451.01348.835
Monotone5.21246.8392.59950.56248.139
Paired17.33444.7980.54054.66245.068

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

The table below sets each hand against its own random-hand baseline: a change of -14.52 points for A8s, from 61.94%, and -7.75 for 55, from 60.33%.

A8s and 55 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops47.42361.944-14.5210.76558
A8s, rainbow, ten or higher48.28761.944-13.6570.77953
A8s, rainbow, nine or lower38.56261.944-23.3820.62253
A8s, two-tone48.83561.944-13.1090.78837
A8s, monotone48.13961.944-13.8050.77714
A8s, paired45.06861.944-16.8760.72756
55, all flops52.57760.325-7.7480.87156
55, rainbow, ten or higher51.71360.325-8.6120.85724
55, rainbow, nine or lower61.43860.325+1.1131.01845
55, two-tone51.16560.325-9.1600.84816
55, monotone51.86160.325-8.4640.85969
55, paired54.93260.325-5.3930.91060

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and 55 holds 52.75%. In 12 they do not, and it holds 52.40%. 55 does better with a shared suit, by 0.35 points.

A8s against 55 by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTies55 winsA8s equity
Share a suit1250.0046.9900.51152.49947.246
No shared suit1250.0047.3850.43252.18347.601

How often this matchup comes up

You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.

A worked example

With $100 from each side, the $200 pot is split on average as $105.16 for 55 and $94.84 for A8s; the first side gains $5.16 per all-in and the second gives up $5.16.

Think in thousands: about 523 of 1,000 go to 55, about 472 go to A8s, and about 5 are chopped.

The same matchup from the other side

If you came looking for 55 against A8s, the numbers are the same with the hands swapped: 52.58% and 47.42%.

Open the calculator with As8s against 5h5d 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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