99 vs 87s: preflop equity

Before any board card is dealt, 99 holds 81.62% equity against 87s, which leaves 87s with 18.38%.

99

81.62%

Wins 81.31%, ties 0.63%

87s

18.38%

Wins 18.06%, ties 0.63%

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

99 against 87s: the numbers

Exact preflop results for 99 against 87s, in percent
HandWinsTiesLosesEquity
9981.3080.62518.06781.621
87s18.0670.62581.30818.379

99 and 87s are a pocket pair and a suited hand, in that order. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.

This is one of the lopsided matchups: 87s wins only 18.06% of the boards outright. Of every 100 boards, about 0.63 are split pots, and the equity figures already include them.

The hand ranking puts 99 at 6 and 87s at 100 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9933,414,000257,0007,425,000
87s7,425,000257,00033,414,000

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 87s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
994.4411.2305.5350.225
87s0.2255.5351.2304.441

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

99 prefers rainbow flops topped by a ten or better, where it holds 85.47%, and likes low rainbow flops (nine high or lower) least, where it holds 73.70%. 99 stays ahead on all five textures.

99 against 87s by flop texture, in percent
FlopShare of flops99 winsTies87s wins99 equity
Rainbow, ten or higher25.84485.2830.38314.33485.474
Rainbow, nine or lower5.06573.5280.34526.12773.701
Two-tone46.54579.6650.35419.98179.842
Monotone5.21274.3132.44623.24175.536
Paired17.33484.1701.25014.58084.795

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts 99 from 72.06% by +9.56 points and 87s from 47.94% by -29.56 points.

99 and 87s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops81.62172.057+9.5641.13273
99, rainbow, ten or higher85.47472.057+13.4171.18620
99, rainbow, nine or lower73.70172.057+1.6441.02282
99, two-tone79.84272.057+7.7851.10804
99, monotone75.53672.057+3.4791.04828
99, paired84.79572.057+12.7381.17678
87s, all flops18.37947.936-29.5570.38341
87s, rainbow, ten or higher14.52647.936-33.4100.30303
87s, rainbow, nine or lower26.29947.936-21.6370.54863
87s, two-tone20.15847.936-27.7780.42052
87s, monotone24.46447.936-23.4720.51035
87s, paired15.20547.936-32.7310.31719

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (99 at 82.18%) and 12 do not (81.06%). 99 does better with a shared suit, by 1.12 points.

99 against 87s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies87s wins99 equity
Share a suit1250.0081.8440.66717.48982.178
No shared suit1250.0080.7720.58418.64481.064

How often this matchup comes up

Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.

A worked example

Take a $200 pot built from $100 each. 99's equity of 81.62% is worth $163.24, a $63.24 edge, and 87s' 18.38% is worth $36.76, which is $63.24 under its stake.

In 1,000 deals of exactly this matchup, expect about 813 won outright by 99, about 181 won outright by 87s and about 6 split.

The same matchup from the other side

One page covers both views. From 87s' side the equity is 18.38%, and from 99's side it is 81.62%.

Try 9s9h against 8d7d 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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