AA vs 97s: preflop equity

Over all 1,712,304 boards that can follow this deal, AA finishes with 79.18% of the pot and 97s with 20.82%.

AA

79.18%

Wins 79.01%, ties 0.35%

97s

20.82%

Wins 20.64%, ties 0.35%

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

AA against 97s: the numbers

Exact preflop results for AA against 97s, in percent
HandWinsTiesLosesEquity
AA79.0080.34520.64779.180
97s20.6470.34579.00820.820

The matchup pits a pocket pair against a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

AA is well ahead, and 97s needs a specific kind of board to catch up. Ties are part of the picture: 0.35% of boards end in a split pot, and each side counts that as half a win.

The hand ranking puts AA at 1 and 97s at 94 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AA32,469,000142,0008,485,000
97s8,485,000142,00032,469,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

AA against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AA3.8031.2664.8430.263
97s0.2634.8431.2663.803

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

AA prefers rainbow flops topped by a ten or better, where it holds 83.19%, and likes low rainbow flops (nine high or lower) least, where it holds 71.23%. AA stays ahead on all five textures.

AA against 97s by flop texture, in percent
FlopShare of flopsAA winsTies97s winsAA equity
Rainbow, ten or higher24.59583.0830.21116.70683.189
Rainbow, nine or lower6.31470.9240.61128.46571.230
Two-tone46.54577.1350.27822.58777.274
Monotone5.21272.6572.38924.95473.851
Paired17.33483.1080.00716.88583.111

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 85.20% for AA, 49.12% for 97s. Here the change is -6.02 and -28.30 points.

AA and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AA, all flops79.18085.204-6.0240.92930
AA, rainbow, ten or higher83.18985.204-2.0150.97635
AA, rainbow, nine or lower71.23085.204-13.9740.83599
AA, two-tone77.27485.204-7.9300.90693
AA, monotone73.85185.204-11.3530.86676
AA, paired83.11185.204-2.0930.97544
97s, all flops20.82049.118-28.2980.42388
97s, rainbow, ten or higher16.81149.118-32.3070.34226
97s, rainbow, nine or lower28.77049.118-20.3480.58573
97s, two-tone22.72649.118-26.3920.46268
97s, monotone26.14949.118-22.9690.53237
97s, paired16.88949.118-32.2290.34385

Does a shared suit matter?

Split by suits, the deals give AA 79.76% when the hands overlap in a suit and 78.60% when they do not. AA does better with a shared suit, by 1.16 points.

AA against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsAA winsTies97s winsAA equity
Share a suit1250.0079.5700.38820.04279.764
No shared suit1250.0078.4450.30321.25278.597

How often this matchup comes up

You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average AA takes back $158.36 of it, which is $58.36 more than it put in, and 97s takes back $41.64, $58.36 less than it put in.

Over a long run, 1,000 deals split into about 790 for AA, 207 for 97s and 3 tied.

The same matchup from the other side

The reversed view, 97s against AA, shows 20.82% for 97s and 79.18% for AA. It is the same count, so it redirects here.

AsAh against 9d7d 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

This is an exact count with no sampling. For the 24 ways to deal one AA and one 97s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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