99 vs 77: preflop equity

Counting every board, the equity split is 81.56% for 99 and 18.44% for 77, so 99 leads by 63.12 points.

99

81.56%

Wins 81.23%, ties 0.66%

77

18.44%

Wins 18.11%, ties 0.66%

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

99 against 77: the numbers

Exact preflop results for 99 against 77, in percent
HandWinsTiesLosesEquity
9981.2310.65618.11381.559
7718.1130.65681.23118.441

The matchup is pocket pairs on both sides, 99 against 77. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.

99 is a big favorite here before anyone sees a flop. 0.66% of boards are ties, so the equity of each hand is its win rate plus half of that.

In the ranking of all 169 starting hands, 99 is number 6 and 77 is number 9.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9950,073,000404,00011,165,000
7711,165,000404,00050,073,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

99 against 77 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
994.4231.2315.5210.226
770.2265.5211.2314.423

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

Across the five flop textures 99's equity moves by 14.08 points, from 72.13% on low rainbow flops (nine high or lower) to 86.21% on paired flops. 99 stays ahead on all five textures.

99 against 77 by flop texture, in percent
FlopShare of flops99 winsTies77 wins99 equity
Rainbow, ten or higher25.84482.8230.40516.77283.025
Rainbow, nine or lower5.06571.8500.56527.58572.132
Two-tone46.36380.4280.41919.15380.637
Monotone5.15274.9981.83123.17175.913
Paired17.57685.5391.33413.12786.206

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

Compared with a random opponent, this matchup shifts 99 from 72.06% by +9.50 points and 77 from 66.24% by -47.80 points.

99 and 77 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops81.55972.057+9.5021.13187
99, rainbow, ten or higher83.02572.057+10.9681.15221
99, rainbow, nine or lower72.13272.057+0.0751.00104
99, two-tone80.63772.057+8.5801.11907
99, monotone75.91372.057+3.8561.05351
99, paired86.20672.057+14.1491.19636
77, all flops18.44166.236-47.7950.27841
77, rainbow, ten or higher16.97566.236-49.2610.25628
77, rainbow, nine or lower27.86866.236-38.3680.42074
77, two-tone19.36366.236-46.8730.29233
77, monotone24.08766.236-42.1490.36365
77, paired13.79466.236-52.4420.20826

Does a shared suit matter?

Two kinds of deal exist here. In 30 of them the hands share a suit and 99 holds 81.70%. In 6 they do not, and it holds 80.88%. 99 does better with a shared suit, by 0.82 points.

99 against 77 by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies77 wins99 equity
Share a suit3083.3381.3600.67217.96881.696
No shared suit616.6780.5870.57818.83580.876

How often this matchup comes up

The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. 99 is worth $163.12 on average (+$63.12); 77 is worth $36.88 (-$63.12).

A thousand deals look like this: 99 takes 812, 77 takes 181, 7 are ties.

The same matchup from the other side

Swap the hands and you get 77 with 18.44% against 99 with 81.56%. We keep one page per matchup, with the better-ranked hand first.

9s9h against 7d7c is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 36 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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