QQ vs TT: preflop equity

Counting every board, the equity split is 81.57% for QQ and 18.43% for TT, so QQ leads by 63.14 points.

QQ

81.57%

Wins 81.36%, ties 0.41%

TT

18.43%

Wins 18.23%, ties 0.41%

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

QQ against TT: the numbers

Exact preflop results for QQ against TT, in percent
HandWinsTiesLosesEquity
QQ81.3620.41118.22781.567
TT18.2270.41181.36218.433

Two pocket pairs meet here: QQ against TT. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.

This is one of the lopsided matchups: TT wins only 18.23% of the boards outright. 0.41% of boards are ties, so the equity of each hand is its win rate plus half of that.

Place 3 of 169 belongs to QQ and place 5 belongs to TT in the ranking against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QQ50,154,000253,00011,236,000
TT11,236,000253,00050,154,000

The total is exact: 36 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.

QQ against TT read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QQ4.4251.2295.4860.226
TT0.2265.4861.2294.425

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

If you know the kind of flop that came, the numbers shift: QQ holds 88.70% on low rainbow flops (nine high or lower) and 75.87% on monotone flops. QQ stays ahead on all five textures.

QQ against TT by flop texture, in percent
FlopShare of flopsQQ winsTiesTT winsQQ equity
Rainbow, ten or higher23.13878.5650.16021.27578.645
Rainbow, nine or lower7.77188.1781.03910.78388.698
Two-tone46.36380.3920.36519.24380.574
Monotone5.15275.0011.73723.26275.869
Paired17.57686.4570.19313.35086.553

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

Compared with a random opponent, this matchup shifts QQ from 79.93% by +1.64 points and TT from 75.01% by -56.58 points.

QQ and TT here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QQ, all flops81.56779.925+1.6421.02054
QQ, rainbow, ten or higher78.64579.925-1.2800.98398
QQ, rainbow, nine or lower88.69879.925+8.7731.10977
QQ, two-tone80.57479.925+0.6491.00812
QQ, monotone75.86979.925-4.0560.94925
QQ, paired86.55379.925+6.6281.08293
TT, all flops18.43375.012-56.5790.24573
TT, rainbow, ten or higher21.35575.012-53.6570.28469
TT, rainbow, nine or lower11.30275.012-63.7100.15067
TT, two-tone19.42675.012-55.5860.25897
TT, monotone24.13175.012-50.8810.32170
TT, paired13.44775.012-61.5650.17926

Does a shared suit matter?

Does suit overlap move the numbers? QQ has 81.70% when the hands share a suit and 80.89% when they do not. QQ does better with a shared suit, by 0.81 points.

QQ against TT by suit overlap, in percent
DealsSpecific dealsShare of dealsQQ winsTiesTT winsQQ equity
Share a suit3083.3381.4910.42618.08381.704
No shared suit616.6780.7200.33118.94980.885

How often this matchup comes up

You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, QQ's average share is $163.14 (a gain of $63.14) and TT's is $36.86 (a loss of $63.14).

A thousand deals look like this: QQ takes 814, TT takes 182, 4 are ties.

The same matchup from the other side

Read it from the other side: TT against QQ is the same matchup with the numbers swapped, so TT holds 18.43% and QQ holds 81.57%. That address sends you back to this page.

Try QsQh against TdTc 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

We counted every case. Each suit pattern of the 36 specific QQ against TT deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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