88 vs QTs: preflop equity

The exact count puts 88 at 51.02% and QTs at 48.98% when the two hands see all five board cards.

88

51.02%

Wins 50.81%, ties 0.44%

QTs

48.98%

Wins 48.75%, ties 0.44%

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

88 against QTs: the numbers

Exact preflop results for 88 against QTs, in percent
HandWinsTiesLosesEquity
8850.8060.43548.75951.024
QTs48.7590.43550.80648.976

The matchup pits a pocket pair against a suited hand. 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 2.04 points between them, the board decides this matchup far more than the cards in hand. Ties are part of the picture: 0.44% of boards end in a split pot, and each side counts that as half a win.

The hand ranking puts 88 at 7 and QTs at 34 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8820,879,000179,00020,038,000
QTs20,038,000179,00020,879,000

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 QTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
881.0421.9682.0510.960
QTs0.9602.0511.9681.042

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 44.36% on rainbow flops topped by a ten or better up to 76.71% on low rainbow flops (nine high or lower). On rainbow flops topped by a ten or better and two-tone flops the numbers flip and QTs is the one ahead.

88 against QTs by flop texture, in percent
FlopShare of flops88 winsTiesQTs wins88 equity
Rainbow, ten or higher24.59544.2520.21455.53444.359
Rainbow, nine or lower6.31476.3620.69622.94276.710
Two-tone46.54548.7400.29250.96848.886
Monotone5.21249.1442.39748.45950.343
Paired17.33456.8450.44942.70657.069

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

A random hand would give 88 69.16% and QTs 59.47%. Against each other the change is -18.14 points for 88 and -10.49 for QTs.

88 and QTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops51.02469.163-18.1390.73774
88, rainbow, ten or higher44.35969.163-24.8040.64137
88, rainbow, nine or lower76.71069.163+7.5471.10912
88, two-tone48.88669.163-20.2770.70682
88, monotone50.34369.163-18.8200.72789
88, paired57.06969.163-12.0940.82514
QTs, all flops48.97659.468-10.4920.82357
QTs, rainbow, ten or higher55.64159.468-3.8270.93565
QTs, rainbow, nine or lower23.29059.468-36.1780.39164
QTs, two-tone51.11459.468-8.3540.85952
QTs, monotone49.65759.468-9.8110.83502
QTs, paired42.93159.468-16.5370.72192

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and 88 holds 51.16%. In 12 they do not, and it holds 50.89%. 88 does better with a shared suit, by 0.27 points.

88 against QTs by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesQTs wins88 equity
Share a suit1250.0050.9170.47748.60651.156
No shared suit1250.0050.6950.39348.91250.892

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 88 against QTs, 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 $102.04 on average (+$2.04); QTs is worth $97.96 (-$2.04).

Per 1,000 deals: 88 wins about 508, QTs wins about 488, and about 4 end in a split pot.

The same matchup from the other side

The mirror image, QTs against 88, is 48.98% to 51.02%, and its address redirects to this page.

The calculator link fills in 8s8h against QdTd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

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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