99 vs A9s: preflop equity

The exact count puts 99 at 66.40% and A9s at 33.60% when the two hands see all five board cards.

99

66.40%

Wins 65.33%, ties 2.14%

A9s

33.60%

Wins 32.53%, ties 2.14%

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

99 against A9s: the numbers

Exact preflop results for 99 against A9s, in percent
HandWinsTiesLosesEquity
9965.3312.13832.53166.400
A9s32.5312.13865.33133.600

99, a pocket pair, plays A9s, a suited hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.

99 is well ahead, and A9s needs a specific kind of board to catch up. Split pots make up 2.14% of the boards, and both equity figures count them as half a win each.

For context, 99 sits at number 6 of 169 starting hands and A9s at number 18 when each is run against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9913,424,000439,0006,684,000
A9s6,684,000439,00013,424,000

The total is exact: 12 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 A9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.9761.5313.0740.506
A9s0.5063.0741.5311.976

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Split by what the flop looks like, 99 peaks at 81.91% on low rainbow flops (nine high or lower) and bottoms out at 61.82% 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 A9s by flop texture, in percent
FlopShare of flops99 winsTiesA9s wins99 equity
Rainbow, ten or higher25.19763.4782.13434.38864.545
Rainbow, nine or lower5.58579.8234.17915.99881.912
Two-tone46.23663.0732.24334.68464.194
Monotone5.15160.3752.89636.72961.823
Paired17.83170.6941.01428.29271.201

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

A random hand would give 99 72.06% and A9s 62.78%. Against each other the change is -5.66 points for 99 and -29.18 for A9s.

99 and A9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops66.40072.057-5.6570.92149
99, rainbow, ten or higher64.54572.057-7.5120.89575
99, rainbow, nine or lower81.91272.057+9.8551.13677
99, two-tone64.19472.057-7.8630.89088
99, monotone61.82372.057-10.2340.85797
99, paired71.20172.057-0.8560.98812
A9s, all flops33.60062.781-29.1810.53519
A9s, rainbow, ten or higher35.45562.781-27.3260.56474
A9s, rainbow, nine or lower18.08862.781-44.6930.28811
A9s, two-tone35.80662.781-26.9750.57033
A9s, monotone38.17762.781-24.6040.60810
A9s, paired28.79962.781-33.9820.45872

Does a shared suit matter?

Every legal deal of 99 against A9s leaves the hands with no suit in common, so the suit split does not apply here.

99 against A9s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesA9s wins99 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0065.3312.13832.53166.400

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 12 are 99 in one seat and A9s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).

A worked example

Take a $200 pot built from $100 each. 99's equity of 66.40% is worth $132.80, a $32.80 edge, and A9s' 33.60% is worth $67.20, which is $32.80 under its stake.

Think in thousands: about 653 of 1,000 go to 99, about 325 go to A9s, and about 22 are chopped.

The same matchup from the other side

A9s against 99 adds nothing new: it is 33.60% for A9s and 66.40% for 99, the same figures reversed.

The calculator link fills in 9s9h against Ad9d, 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of 99 against A9s, 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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