AQs vs 97s: preflop equity

Averaged over every possible board, AQs is ahead of 97s by 25.80 points of equity, 62.90% to 37.10%.

AQs

62.90%

Wins 62.67%, ties 0.47%

97s

37.10%

Wins 36.86%, ties 0.47%

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

AQs against 97s: the numbers

Exact preflop results for AQs against 97s, in percent
HandWinsTiesLosesEquity
AQs62.6650.47336.86262.902
97s36.8620.47362.66537.098

Two suited hands meet here: AQs against 97s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

AQs is ahead, but 97s is far from dead: it takes 368 of every 1,000 deals outright. Split pots make up 0.47% of the boards, and both equity figures count them as half a win each.

Among the 169 starting hands, AQs is number 10 and 97s is number 94 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AQs17,168,000130,00010,099,000
97s10,099,000130,00017,168,000

Exact total: 16 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.

AQs against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQs1.6961.5962.7130.590
97s0.5902.7131.5961.696

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

Rainbow flops topped by a ten or better are the best for AQs (69.25%); low rainbow flops (nine high or lower) are the worst (39.63%). Watch for low rainbow flops (nine high or lower): on those flops 97s holds the better equity.

AQs against 97s by flop texture, in percent
FlopShare of flopsAQs winsTies97s winsAQs equity
Rainbow, ten or higher24.59569.1640.16230.67469.245
Rainbow, nine or lower6.31439.3270.60460.06939.629
Two-tone46.72762.1550.23037.61562.270
Monotone5.27358.4253.39938.17660.124
Paired17.09164.6390.63334.72864.956

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

Each hand has a baseline against a random hand: 66.21% for AQs, 49.12% for 97s. Here the change is -3.31 and -12.02 points.

AQs and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQs, all flops62.90266.209-3.3070.95005
AQs, rainbow, ten or higher69.24566.209+3.0361.04585
AQs, rainbow, nine or lower39.62966.209-26.5800.59854
AQs, two-tone62.27066.209-3.9390.94051
AQs, monotone60.12466.209-6.0850.90809
AQs, paired64.95666.209-1.2530.98108
97s, all flops37.09849.118-12.0200.75528
97s, rainbow, ten or higher30.75549.118-18.3630.62615
97s, rainbow, nine or lower60.37149.118+11.2531.22910
97s, two-tone37.73049.118-11.3880.76815
97s, monotone39.87649.118-9.2420.81184
97s, paired35.04449.118-14.0740.71347

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (AQs at 65.20%) and 12 do not (62.14%). AQs does better with a shared suit, by 3.06 points.

AQs against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsAQs winsTies97s winsAQs equity
Share a suit425.0064.9270.55034.52365.202
No shared suit1275.0061.9110.44737.64262.135

How often this matchup comes up

The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says AQs gets $125.80 of it on average and 97s gets $74.20.

Per 1,000 deals: AQs wins about 627, 97s wins about 368, and about 5 end in a split pot.

The same matchup from the other side

One page covers both views. From 97s' side the equity is 37.10%, and from AQs' side it is 62.90%.

Try AsQs against 9h7h 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 16 specific deals of AQs against 97s, 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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