QQ vs A2s: preflop equity

Counting every board, the equity split is 67.80% for QQ and 32.20% for A2s, so QQ leads by 35.60 points.

QQ

67.80%

Wins 67.57%, ties 0.46%

A2s

32.20%

Wins 31.97%, ties 0.46%

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

QQ against A2s: the numbers

Exact preflop results for QQ against A2s, in percent
HandWinsTiesLosesEquity
QQ67.5710.45731.97267.799
A2s31.9720.45767.57132.201

One side is a pocket pair, the other is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.

That is a clear edge, 67.80% to 32.20%, but A2s still wins often enough that one hand proves nothing. A split pot comes up on 0.46% of boards, so the wins and the equity differ by half of that.

Place 3 of 169 belongs to QQ and place 46 belongs to A2s in the ranking against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QQ27,769,000188,00013,139,000
A2s13,139,000188,00027,769,000

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.

QQ against A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QQ2.1051.4803.1280.475
A2s0.4753.1281.4802.105

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

QQ prefers low rainbow flops (nine high or lower), where it holds 75.30%, and likes monotone flops least, where it holds 63.32%. QQ stays ahead on all five textures.

QQ against A2s by flop texture, in percent
FlopShare of flopsQQ winsTiesA2s winsQQ equity
Rainbow, ten or higher23.86767.4590.16232.37967.540
Rainbow, nine or lower7.04274.6311.33724.03275.299
Two-tone46.54565.8440.39133.76566.039
Monotone5.21262.0942.45235.45463.320
Paired17.33471.1410.08328.77671.182

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

The table below sets each hand against its own random-hand baseline: a change of -12.13 points for QQ, from 79.93%, and -25.18 for A2s, from 57.38%.

QQ and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QQ, all flops67.79979.925-12.1260.84828
QQ, rainbow, ten or higher67.54079.925-12.3850.84504
QQ, rainbow, nine or lower75.29979.925-4.6260.94212
QQ, two-tone66.03979.925-13.8860.82626
QQ, monotone63.32079.925-16.6050.79224
QQ, paired71.18279.925-8.7430.89061
A2s, all flops32.20157.379-25.1780.56120
A2s, rainbow, ten or higher32.46057.379-24.9190.56571
A2s, rainbow, nine or lower24.70157.379-32.6780.43049
A2s, two-tone33.96157.379-23.4180.59187
A2s, monotone36.68057.379-20.6990.63926
A2s, paired28.81857.379-28.5610.50224

Does a shared suit matter?

The suit split reads 68.09% for QQ with a shared suit and 67.51% without one. QQ does better with a shared suit, by 0.58 points.

QQ against A2s by suit overlap, in percent
DealsSpecific dealsShare of dealsQQ winsTiesA2s winsQQ equity
Share a suit1250.0067.8440.49931.65768.094
No shared suit1250.0067.2970.41532.28867.505

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says QQ gets $135.60 of it on average and A2s gets $64.40.

Scaled to 1,000 deals, that is roughly 676 wins for QQ, 320 for A2s and 4 chopped pots.

The same matchup from the other side

The reversed view, A2s against QQ, shows 32.20% for A2s and 67.80% for QQ. It is the same count, so it redirects here.

QsQh against Ad2d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of QQ against A2s, 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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