TT vs QTs: preflop equity

Over all 1,712,304 boards that can follow this deal, TT finishes with 62.72% of the pot and QTs with 37.28%.

TT

62.72%

Wins 61.77%, ties 1.92%

QTs

37.28%

Wins 36.31%, ties 1.92%

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

TT against QTs: the numbers

Exact preflop results for TT against QTs, in percent
HandWinsTiesLosesEquity
TT61.7651.91836.31762.724
QTs36.3171.91861.76537.276

The matchup pits a pocket pair against a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. 1.92% of boards are ties, so the equity of each hand is its win rate plus half of that.

Ranked by equity against a random hand, TT is number 5 of the 169 starting hands and QTs is number 34.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT12,691,000394,0007,462,000
QTs7,462,000394,00012,691,000

The total is exact: 12 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.

TT against QTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT1.6831.6192.7540.594
QTs0.5942.7541.6191.683

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

Break the boards down by their first three cards and TT is strongest on low rainbow flops (nine high or lower) (79.81%) and weakest on rainbow flops topped by a ten or better (57.59%). TT stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

TT against QTs by flop texture, in percent
FlopShare of flopsTT winsTiesQTs winsTT equity
Rainbow, ten or higher23.01156.5812.02641.39357.594
Rainbow, nine or lower7.77178.4122.79318.79579.809
Two-tone46.23659.1632.02938.80860.177
Monotone5.15157.8392.83239.32959.255
Paired17.83169.0820.84330.07569.504

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Start from the random-hand figures, 75.01% for TT and 59.47% for QTs. This opponent changes them by -12.29 and -22.19 points.

TT and QTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops62.72475.012-12.2880.83619
TT, rainbow, ten or higher57.59475.012-17.4180.76780
TT, rainbow, nine or lower79.80975.012+4.7971.06395
TT, two-tone60.17775.012-14.8350.80223
TT, monotone59.25575.012-15.7570.78994
TT, paired69.50475.012-5.5080.92657
QTs, all flops37.27659.468-22.1920.62682
QTs, rainbow, ten or higher42.40659.468-17.0620.71309
QTs, rainbow, nine or lower20.19159.468-39.2770.33953
QTs, two-tone39.82359.468-19.6450.66965
QTs, monotone40.74559.468-18.7230.68516
QTs, paired30.49659.468-28.9720.51281

Does a shared suit matter?

Every legal deal of TT against QTs leaves the hands with no suit in common, so the suit split does not apply here.

TT against QTs by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesQTs winsTT equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0061.7651.91836.31762.724

How often this matchup comes up

TT against QTs is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.

A worked example

Put $100 each into a $200 pot and deal every board once: TT averages $125.44 back, ahead of its $100 by $25.44, while QTs averages $74.56, short of its $100 by $25.44.

Scaled to 1,000 deals, that is roughly 618 wins for TT, 363 for QTs and 19 chopped pots.

The same matchup from the other side

The mirror image, QTs against TT, is 37.28% to 62.72%, and its address redirects to this page.

The calculator link fills in TsTh 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

Each figure is a complete count over boards. Take the 12 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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