88 vs A6s: preflop equity

Averaged over every possible board, 88 is ahead of A6s by 35.08 points of equity, 67.54% to 32.46%.

88

67.54%

Wins 67.35%, ties 0.38%

A6s

32.46%

Wins 32.27%, ties 0.38%

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

88 against A6s: the numbers

Exact preflop results for 88 against A6s, in percent
HandWinsTiesLosesEquity
8867.3480.37732.27567.536
A6s32.2750.37767.34832.464

88, a pocket pair, plays A6s, a suited hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.

88 is well ahead, and A6s needs a specific kind of board to catch up. Of every 100 boards, about 0.38 are split pots, and the equity figures already include them.

Among the 169 starting hands, 88 is number 7 and A6s is number 31 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8827,677,000155,00013,264,000
A6s13,264,000155,00027,677,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

88 against A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
882.0801.4853.0980.481
A6s0.4813.0981.4852.080

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

The flop changes the picture. 88 does best on low rainbow flops (nine high or lower), at 80.25%, and worst on monotone flops, at 63.32%. 88 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

88 against A6s by flop texture, in percent
FlopShare of flops88 winsTiesA6s wins88 equity
Rainbow, ten or higher25.22066.8830.16532.95266.965
Rainbow, nine or lower5.68979.9200.65219.42880.246
Two-tone46.54565.9970.23733.76666.116
Monotone5.21262.1362.35835.50663.315
Paired17.33469.0920.37430.53469.279

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

Relative to a random opponent, 88 changes by -1.62 points (baseline 69.16%) and A6s by -27.45 points (baseline 59.91%).

88 and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops67.53669.163-1.6270.97648
88, rainbow, ten or higher66.96569.163-2.1980.96822
88, rainbow, nine or lower80.24669.163+11.0831.16024
88, two-tone66.11669.163-3.0470.95594
88, monotone63.31569.163-5.8480.91545
88, paired69.27969.163+0.1161.00168
A6s, all flops32.46459.906-27.4420.54192
A6s, rainbow, ten or higher33.03559.906-26.8710.55145
A6s, rainbow, nine or lower19.75459.906-40.1520.32975
A6s, two-tone33.88459.906-26.0220.56562
A6s, monotone36.68559.906-23.2210.61238
A6s, paired30.72159.906-29.1850.51282

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (88 at 67.82%) and 12 do not (67.25%). 88 does better with a shared suit, by 0.57 points.

88 against A6s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesA6s wins88 equity
Share a suit1250.0067.6140.42031.96667.824
No shared suit1250.0067.0820.33332.58567.248

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 88 against A6s, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. 88 is worth $135.08 on average (+$35.08); A6s is worth $64.92 (-$35.08).

Scaled to 1,000 deals, that is roughly 673 wins for 88, 323 for A6s and 4 chopped pots.

The same matchup from the other side

A6s against 88 adds nothing new: it is 32.46% for A6s and 67.54% for 88, the same figures reversed.

Try 8s8h against Ad6d 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 24 ways to deal one 88 and one A6s 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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