99 vs 86s: preflop equity

Before any board card is dealt, 99 holds 81.72% equity against 86s, which leaves 86s with 18.28%.

99

81.72%

Wins 81.41%, ties 0.62%

86s

18.28%

Wins 17.97%, ties 0.62%

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

99 against 86s: the numbers

Exact preflop results for 99 against 86s, in percent
HandWinsTiesLosesEquity
9981.4050.61917.97681.715
86s17.9760.61981.40518.285

99 and 86s are a pocket pair and a suited hand, in that order. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

This is one of the lopsided matchups: 86s wins only 17.97% of the boards outright. Of every 100 boards, about 0.62 are split pots, and the equity figures already include them.

99 ranks number 6 of 169 starting hands, and 86s ranks number 110, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9933,454,000254,0007,387,000
86s7,387,000254,00033,454,000

The total is exact: 24 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 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
994.4691.2285.5630.224
86s0.2245.5631.2284.469

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 14.00 points, from 71.98% on low rainbow flops (nine high or lower) to 85.98% on rainbow flops topped by a ten or better. 99 stays ahead on all five textures.

99 against 86s by flop texture, in percent
FlopShare of flops99 winsTies86s wins99 equity
Rainbow, ten or higher25.84485.8070.34113.85285.978
Rainbow, nine or lower5.06571.7250.50527.77071.977
Two-tone46.54579.7980.34719.85579.972
Monotone5.21274.4742.44323.08375.696
Paired17.33484.0691.25014.68184.694

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 +9.66 points and 86s from 46.24% by -27.96 points.

99 and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops81.71572.057+9.6581.13403
99, rainbow, ten or higher85.97872.057+13.9211.19319
99, rainbow, nine or lower71.97772.057-0.0800.99889
99, two-tone79.97272.057+7.9151.10984
99, monotone75.69672.057+3.6391.05050
99, paired84.69472.057+12.6371.17538
86s, all flops18.28546.243-27.9580.39541
86s, rainbow, ten or higher14.02246.243-32.2210.30322
86s, rainbow, nine or lower28.02346.243-18.2200.60599
86s, two-tone20.02846.243-26.2150.43310
86s, monotone24.30446.243-21.9390.52557
86s, paired15.30646.243-30.9370.33099

Does a shared suit matter?

The suit split reads 82.29% for 99 with a shared suit and 81.14% without one. 99 does better with a shared suit, by 1.15 points.

99 against 86s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies86s wins99 equity
Share a suit1250.0081.9580.66117.38182.289
No shared suit1250.0080.8520.57718.57181.140

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says 99 gets $163.44 of it on average and 86s gets $36.56.

Run 1,000 deals and the tally comes out near 814 for 99, 180 for 86s and 6 ties.

The same matchup from the other side

The mirror image, 86s against 99, is 18.28% to 81.72%, and its address redirects to this page.

Open the calculator with 9s9h against 8d6d 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

We counted every case. Each suit pattern of the 24 specific 99 against 86s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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