99 vs 64s: preflop equity

In equity, 99 against 64s stands at 79.65% to 20.35%, a gap of 59.30 points.

99

79.65%

Wins 79.32%, ties 0.66%

64s

20.35%

Wins 20.02%, ties 0.66%

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

99 against 64s: the numbers

Exact preflop results for 99 against 64s, in percent
HandWinsTiesLosesEquity
9979.3220.66320.01579.653
64s20.0150.66379.32220.347

99 is a pocket pair and 64s is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

99 is the clear favorite, though 64s gets there on roughly one board in 5. 0.66% of boards are ties, so the equity of each hand is its win rate plus half of that.

For context, 99 sits at number 6 of 169 starting hands and 64s at number 138 when each is run against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9932,598,000272,0008,225,000
64s8,225,000272,00032,598,000

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 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
993.9151.2614.9960.255
64s0.2554.9961.2613.915

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

By flop texture, 99's equity runs from 66.55% on low rainbow flops (nine high or lower) up to 84.35% on rainbow flops topped by a ten or better. 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 64s by flop texture, in percent
FlopShare of flops99 winsTies64s wins99 equity
Rainbow, ten or higher25.84484.1670.36415.46984.349
Rainbow, nine or lower5.06566.1900.72533.08566.552
Two-tone46.54577.7080.39821.89477.907
Monotone5.21273.0592.50824.43374.313
Paired17.33482.1501.25016.60082.775

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: 72.06% for 99, 41.33% for 64s. Here the change is +7.59 and -20.98 points.

99 and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops79.65372.057+7.5961.10542
99, rainbow, ten or higher84.34972.057+12.2921.17059
99, rainbow, nine or lower66.55272.057-5.5050.92360
99, two-tone77.90772.057+5.8501.08119
99, monotone74.31372.057+2.2561.03131
99, paired82.77572.057+10.7181.14874
64s, all flops20.34741.333-20.9860.49227
64s, rainbow, ten or higher15.65141.333-25.6820.37866
64s, rainbow, nine or lower33.44841.333-7.8850.80923
64s, two-tone22.09341.333-19.2400.53451
64s, monotone25.68741.333-15.6460.62146
64s, paired17.22541.333-24.1080.41674

Does a shared suit matter?

The suit split reads 80.24% for 99 with a shared suit and 79.07% without one. 99 does better with a shared suit, by 1.17 points.

99 against 64s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies64s wins99 equity
Share a suit1250.0079.8830.70719.41080.236
No shared suit1250.0078.7600.62020.62079.070

How often this matchup comes up

The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.

A worked example

Take a $200 pot built from $100 each. 99's equity of 79.65% is worth $159.30, a $59.30 edge, and 64s' 20.35% is worth $40.70, which is $59.30 under its stake.

In 1,000 deals of exactly this matchup, expect about 793 won outright by 99, about 200 won outright by 64s and about 7 split.

The same matchup from the other side

Swap the hands and you get 64s with 20.35% against 99 with 79.65%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with 9s9h against 6d4d 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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