AKs vs 97s: preflop equity

Over all 1,712,304 boards that can follow this deal, AKs finishes with 62.60% of the pot and 97s with 37.40%.

AKs

62.60%

Wins 62.36%, ties 0.47%

97s

37.40%

Wins 37.17%, ties 0.47%

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

AKs against 97s: the numbers

Exact preflop results for AKs against 97s, in percent
HandWinsTiesLosesEquity
AKs62.3600.47137.16962.595
97s37.1690.47162.36037.405

Each side holds one of the suited hands: AKs and 97s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 25.20 point lead is real, and 97s still takes about 372 of every 1,000 deals outright. About 0.47% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, AKs is number 8 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
AKs17,085,000129,00010,183,000
97s10,183,000129,00017,085,000

The total is exact: 16 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.

AKs against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs1.6731.6042.6900.598
97s0.5982.6901.6041.673

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 AKs (68.80%); low rainbow flops (nine high or lower) are the worst (39.50%). Low rainbow flops (nine high or lower) favor 97s, the hand that is behind overall.

AKs against 97s by flop texture, in percent
FlopShare of flopsAKs winsTies97s winsAKs equity
Rainbow, ten or higher24.59568.7210.15631.12368.799
Rainbow, nine or lower6.31439.1870.62160.19239.498
Two-tone46.72761.8150.23037.95561.930
Monotone5.27358.1623.39938.43959.862
Paired17.09164.5470.62834.82564.861

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 67.05% for AKs, 49.12% for 97s. Here the change is -4.45 and -11.72 points.

AKs and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops62.59567.045-4.4500.93363
AKs, rainbow, ten or higher68.79967.045+1.7541.02616
AKs, rainbow, nine or lower39.49867.045-27.5470.58913
AKs, two-tone61.93067.045-5.1150.92371
AKs, monotone59.86267.045-7.1830.89286
AKs, paired64.86167.045-2.1840.96742
97s, all flops37.40549.118-11.7130.76153
97s, rainbow, ten or higher31.20149.118-17.9170.63523
97s, rainbow, nine or lower60.50249.118+11.3841.23177
97s, two-tone38.07049.118-11.0480.77507
97s, monotone40.13849.118-8.9800.81717
97s, paired35.13949.118-13.9790.71540

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (AKs at 64.87%) and 12 do not (61.84%). AKs does better with a shared suit, by 3.03 points.

AKs against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTies97s winsAKs equity
Share a suit425.0064.5900.54934.86164.865
No shared suit1275.0061.6160.44537.93961.839

How often this matchup comes up

AKs against 97s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.

A worked example

Take a $200 pot built from $100 each. AKs' equity of 62.60% is worth $125.20, a $25.20 edge, and 97s' 37.40% is worth $74.80, which is $25.20 under its stake.

A thousand deals look like this: AKs takes 623, 97s takes 372, 5 are ties.

The same matchup from the other side

One page covers both views. From 97s' side the equity is 37.40%, and from AKs' side it is 62.60%.

The calculator link fills in AsKs against 9h7h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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