QQ vs 77: preflop equity

The exact count puts QQ at 80.93% and 77 at 19.07% when the two hands see all five board cards.

QQ

80.93%

Wins 80.74%, ties 0.37%

77

19.07%

Wins 18.89%, ties 0.37%

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

QQ against 77: the numbers

Exact preflop results for QQ against 77, in percent
HandWinsTiesLosesEquity
QQ80.7400.36918.89180.925
7718.8910.36980.74019.075

This is a contest between two pocket pairs, QQ and 77. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.

A gap this wide means 77 is in trouble before the flop and has few good runouts. Ties are 0.37% of the outcomes here; each tied board gives both hands half the pot.

For context, QQ sits at number 3 of 169 starting hands and 77 at number 9 when each is run against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QQ49,771,000227,00011,645,000
7711,645,000227,00049,771,000

Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

QQ against 77 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QQ4.2421.2395.2940.236
770.2365.2941.2394.242

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

By flop texture, QQ's equity runs from 66.61% on low rainbow flops (nine high or lower) up to 86.48% on paired flops. QQ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

QQ against 77 by flop texture, in percent
FlopShare of flopsQQ winsTies77 winsQQ equity
Rainbow, ten or higher24.59583.8030.21915.97883.912
Rainbow, nine or lower6.31466.2390.74633.01566.612
Two-tone46.36379.6530.31420.03379.810
Monotone5.15274.4441.72123.83575.305
Paired17.57686.3790.19313.42886.475

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

The table below sets each hand against its own random-hand baseline: a change of +1.00 points for QQ, from 79.93%, and -47.17 for 77, from 66.24%.

QQ and 77 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QQ, all flops80.92579.925+1.0001.01251
QQ, rainbow, ten or higher83.91279.925+3.9871.04988
QQ, rainbow, nine or lower66.61279.925-13.3130.83343
QQ, two-tone79.81079.925-0.1150.99856
QQ, monotone75.30579.925-4.6200.94220
QQ, paired86.47579.925+6.5501.08195
77, all flops19.07566.236-47.1610.28799
77, rainbow, ten or higher16.08866.236-50.1480.24289
77, rainbow, nine or lower33.38866.236-32.8480.50408
77, two-tone20.19066.236-46.0460.30482
77, monotone24.69566.236-41.5410.37283
77, paired13.52566.236-52.7110.20419

Does a shared suit matter?

Split by suits, the deals give QQ 81.06% when the hands overlap in a suit and 80.26% when they do not. QQ does better with a shared suit, by 0.80 points.

QQ against 77 by suit overlap, in percent
DealsSpecific dealsShare of dealsQQ winsTies77 winsQQ equity
Share a suit3083.3380.8660.38518.74981.058
No shared suit616.6780.1130.28919.59880.258

How often this matchup comes up

This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, QQ's average share is $161.86 (a gain of $61.86) and 77's is $38.14 (a loss of $61.86).

Out of 1,000 deals you should see around 807 outright wins for QQ, 189 for 77, and 4 split pots.

The same matchup from the other side

Swap the hands and you get 77 with 19.07% against QQ with 80.93%. We keep one page per matchup, with the better-ranked hand first.

Try QsQh against 7d7c 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of QQ against 77, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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