66 vs QTs: preflop equity

Over all 1,712,304 boards that can follow this deal, QTs finishes with 50.45% of the pot and 66 with 49.55%.

66

49.55%

Wins 49.28%, ties 0.54%

QTs

50.45%

Wins 50.18%, ties 0.54%

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

66 against QTs: the numbers

Exact preflop results for 66 against QTs, in percent
HandWinsTiesLosesEquity
6649.2760.53950.18549.545
QTs50.1850.53949.27650.455

We compare a pocket pair with a suited hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

That is a slim edge: neither hand is far ahead. A split pot comes up on 0.54% of boards, so the wins and the equity differ by half of that.

Ranked by equity against a random hand, 66 is number 17 of the 169 starting hands and QTs is number 34.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6620,250,000222,00020,624,000
QTs20,624,000222,00020,250,000

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.

66 against QTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
660.9822.0291.9931.018
QTs1.0181.9932.0290.982

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: QTs holds 57.00% on rainbow flops topped by a ten or better and 24.30% on low rainbow flops (nine high or lower). Low rainbow flops (nine high or lower) and paired flops favor 66, the hand that is behind overall.

66 against QTs by flop texture, in percent
FlopShare of flops66 winsTiesQTs wins66 equity
Rainbow, ten or higher24.59542.8730.25656.87143.001
Rainbow, nine or lower6.31475.4220.56124.01775.703
Two-tone46.54547.5580.30452.13847.710
Monotone5.21248.3092.49549.19649.557
Paired17.33453.7410.97745.28254.229

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, 63.29% for 66 and 59.47% for QTs. This opponent changes them by -13.74 and -9.02 points.

66 and QTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops49.54563.285-13.7400.78289
66, rainbow, ten or higher43.00163.285-20.2840.67948
66, rainbow, nine or lower75.70363.285+12.4181.19622
66, two-tone47.71063.285-15.5750.75389
66, monotone49.55763.285-13.7280.78308
66, paired54.22963.285-9.0560.85690
QTs, all flops50.45559.468-9.0130.84844
QTs, rainbow, ten or higher56.99959.468-2.4690.95848
QTs, rainbow, nine or lower24.29759.468-35.1710.40857
QTs, two-tone52.29059.468-7.1780.87930
QTs, monotone50.44359.468-9.0250.84824
QTs, paired45.77159.468-13.6970.76967

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common QTs has 50.31% equity, and with none in common it has 50.60%. QTs does better with no shared suit, by 0.29 points.

66 against QTs by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesQTs wins66 equity
Share a suit1250.0049.4000.58250.01849.691
No shared suit1250.0049.1510.49650.35349.399

How often this matchup comes up

66 against QTs is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average QTs takes back $100.90 of it, which is $0.90 more than it put in, and 66 takes back $99.10, $0.90 less than it put in.

Over a long run, 1,000 deals split into about 502 for QTs, 493 for 66 and 5 tied.

The same matchup from the other side

The reversed view, QTs against 66, shows 50.45% for QTs and 49.55% for 66. It is the same count, so it redirects here.

Try 6s6h against QdTd 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

Nothing here is simulated. The 24 deals of 66 against QTs fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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