99 vs A3s: preflop equity

Before any board card is dealt, 99 holds 66.56% equity against A3s, which leaves A3s with 33.44%.

99

66.56%

Wins 66.35%, ties 0.43%

A3s

33.44%

Wins 33.22%, ties 0.43%

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

99 against A3s: the numbers

Exact preflop results for 99 against A3s, in percent
HandWinsTiesLosesEquity
9966.3450.42733.22866.559
A3s33.2280.42766.34533.441

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.

99 is the clear favorite, though A3s gets there on roughly one board in 3. 0.43% of boards are ties, so the equity of each hand is its win rate plus half of that.

Among the 169 starting hands, 99 is number 6 and A3s is number 38 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9927,265,000175,00013,655,000
A3s13,655,000175,00027,265,000

Exact total: 24 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.

99 against A3s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.9901.5073.0100.502
A3s0.5023.0101.5071.990

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

Across the five flop textures 99's equity moves by 14.34 points, from 62.59% on monotone flops to 76.93% on low rainbow flops (nine high or lower). 99 stays ahead on all five textures.

99 against A3s by flop texture, in percent
FlopShare of flops99 winsTiesA3s wins99 equity
Rainbow, ten or higher25.22066.0490.19933.75266.149
Rainbow, nine or lower5.68976.4580.94722.59576.931
Two-tone46.54564.8080.31234.88064.964
Monotone5.21261.3822.40636.21262.585
Paired17.33469.0800.30130.61969.230

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

Against one random hand instead, 99 holds 72.06% and A3s holds 58.22%. Facing each other changes that by -5.50 points for 99 and -24.78 points for A3s.

99 and A3s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops66.55972.057-5.4980.92370
99, rainbow, ten or higher66.14972.057-5.9080.91801
99, rainbow, nine or lower76.93172.057+4.8741.06764
99, two-tone64.96472.057-7.0930.90156
99, monotone62.58572.057-9.4720.86855
99, paired69.23072.057-2.8270.96077
A3s, all flops33.44158.220-24.7790.57439
A3s, rainbow, ten or higher33.85158.220-24.3690.58143
A3s, rainbow, nine or lower23.06958.220-35.1510.39624
A3s, two-tone35.03658.220-23.1840.60179
A3s, monotone37.41558.220-20.8050.64265
A3s, paired30.77058.220-27.4500.52851

Does a shared suit matter?

When the hands share a suit, 99 holds 66.86%; when they do not, it holds 66.26%. 99 does better with a shared suit, by 0.60 points.

99 against A3s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesA3s wins99 equity
Share a suit1250.0066.6190.47232.90966.855
No shared suit1250.0066.0720.38233.54666.263

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are 99 in one seat and A3s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

With $100 from each side, the $200 pot is split on average as $133.12 for 99 and $66.88 for A3s; the first side gains $33.12 per all-in and the second gives up $33.12.

Per 1,000 deals: 99 wins about 664, A3s wins about 332, and about 4 end in a split pot.

The same matchup from the other side

Read it from the other side: A3s against 99 is the same matchup with the numbers swapped, so A3s holds 33.44% and 99 holds 66.56%. That address sends you back to this page.

Try 9s9h against Ad3d 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

Nothing here is simulated. The 24 deals of 99 against A3s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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