99 vs A7s: preflop equity

Before any board card is dealt, 99 holds 67.40% equity against A7s, which leaves A7s with 32.60%.

99

67.40%

Wins 67.21%, ties 0.38%

A7s

32.60%

Wins 32.41%, ties 0.38%

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

99 against A7s: the numbers

Exact preflop results for 99 against A7s, in percent
HandWinsTiesLosesEquity
9967.2140.37832.40867.403
A7s32.4080.37867.21432.597

Here a pocket pair (99) meets a suited hand (A7s). The pair is ahead of one card and behind the other, so the board decides how that plays out.

99 is well ahead, and A7s needs a specific kind of board to catch up. A split pot comes up on 0.38% of boards, so the wins and the equity differ by half of that.

Place 6 of 169 belongs to 99 and place 24 belongs to A7s in the ranking against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9927,622,000155,00013,318,000
A7s13,318,000155,00027,622,000

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.

99 against A7s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
992.0681.4883.0860.484
A7s0.4843.0861.4882.068

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

Split by what the flop looks like, 99 peaks at 79.03% on low rainbow flops (nine high or lower) and bottoms out at 63.10% on monotone flops. 99 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

99 against A7s by flop texture, in percent
FlopShare of flops99 winsTiesA7s wins99 equity
Rainbow, ten or higher25.22066.6810.19533.12466.779
Rainbow, nine or lower5.68978.7170.62220.66179.028
Two-tone46.54565.6560.25534.08965.784
Monotone5.21261.9172.36535.71863.100
Paired17.33469.9860.30129.71370.137

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

A random hand would give 99 72.06% and A7s 60.98%. Against each other the change is -4.66 points for 99 and -28.38 for A7s.

99 and A7s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops67.40372.057-4.6540.93541
99, rainbow, ten or higher66.77972.057-5.2780.92675
99, rainbow, nine or lower79.02872.057+6.9711.09674
99, two-tone65.78472.057-6.2730.91294
99, monotone63.10072.057-8.9570.87570
99, paired70.13772.057-1.9200.97335
A7s, all flops32.59760.984-28.3870.53452
A7s, rainbow, ten or higher33.22160.984-27.7630.54475
A7s, rainbow, nine or lower20.97260.984-40.0120.34389
A7s, two-tone34.21660.984-26.7680.56107
A7s, monotone36.90060.984-24.0840.60508
A7s, paired29.86360.984-31.1210.48969

Does a shared suit matter?

Looking only at deals where the hands share a suit, 99 has 67.69%; looking only at deals where they do not, 67.12%. 99 does better with a shared suit, by 0.57 points.

99 against A7s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesA7s wins99 equity
Share a suit1250.0067.4750.42132.10467.686
No shared suit1250.0066.9520.33632.71267.120

How often this matchup comes up

99 against A7s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.

A worked example

Put $100 each into a $200 pot and deal every board once: 99 averages $134.80 back, ahead of its $100 by $34.80, while A7s averages $65.20, short of its $100 by $34.80.

Out of 1,000 deals you should see around 672 outright wins for 99, 324 for A7s, and 4 split pots.

The same matchup from the other side

The reversed view, A7s against 99, shows 32.60% for A7s and 67.40% for 99. It is the same count, so it redirects here.

Open the calculator with 9s9h against Ad7d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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