88 vs ATs: preflop equity

Over all 1,712,304 boards that can follow this deal, 88 finishes with 52.75% of the pot and ATs with 47.25%.

88

52.75%

Wins 52.56%, ties 0.38%

ATs

47.25%

Wins 47.06%, ties 0.38%

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

88 against ATs: the numbers

Exact preflop results for 88 against ATs, in percent
HandWinsTiesLosesEquity
8852.5570.38347.06052.749
ATs47.0600.38352.55747.251

88 is a pocket pair and ATs is a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

With only 5.50 points between them, the board decides this matchup far more than the cards in hand. Split pots make up 0.38% of the boards, and both equity figures count them as half a win each.

Among the 169 starting hands, 88 is number 7 and ATs is number 13 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8821,598,000157,00019,339,000
ATs19,339,000157,00021,598,000

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.

88 against ATs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
881.1161.9032.1250.896
ATs0.8962.1251.9031.116

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

By flop texture, 88's equity runs from 47.01% on rainbow flops topped by a ten or better up to 76.63% on low rainbow flops (nine high or lower). On rainbow flops topped by a ten or better the numbers flip and ATs is the one ahead.

88 against ATs by flop texture, in percent
FlopShare of flops88 winsTiesATs wins88 equity
Rainbow, ten or higher24.59546.9190.17152.91047.005
Rainbow, nine or lower6.31476.2900.68123.02976.630
Two-tone46.54550.6560.25749.08750.784
Monotone5.21250.5432.37247.08551.729
Paired17.33457.6250.31342.06257.781

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of -16.41 points for 88, from 69.16%, and -17.35 for ATs, from 64.60%.

88 and ATs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops52.74969.163-16.4140.76268
88, rainbow, ten or higher47.00569.163-22.1580.67963
88, rainbow, nine or lower76.63069.163+7.4671.10796
88, two-tone50.78469.163-18.3790.73427
88, monotone51.72969.163-17.4340.74793
88, paired57.78169.163-11.3820.83543
ATs, all flops47.25164.602-17.3510.73142
ATs, rainbow, ten or higher52.99564.602-11.6070.82033
ATs, rainbow, nine or lower23.37064.602-41.2320.36175
ATs, two-tone49.21664.602-15.3860.76183
ATs, monotone48.27164.602-16.3310.74721
ATs, paired42.21964.602-22.3830.65352

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (88 at 52.91%) and 12 do not (52.59%). 88 does better with a shared suit, by 0.32 points.

88 against ATs by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesATs wins88 equity
Share a suit1250.0052.6990.42546.87652.912
No shared suit1250.0052.4150.34047.24552.585

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are 88 in one seat and ATs in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

With $100 from each side, the $200 pot is split on average as $105.50 for 88 and $94.50 for ATs; the first side gains $5.50 per all-in and the second gives up $5.50.

Scaled to 1,000 deals, that is roughly 525 wins for 88, 471 for ATs and 4 chopped pots.

The same matchup from the other side

ATs against 88 adds nothing new: it is 47.25% for ATs and 52.75% for 88, the same figures reversed.

8s8h against AdTd is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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