98s vs 86s: preflop equity

Dealt all in against each other, 98s takes 68.29% of the pot on average and 86s takes the other 31.71%.

98s

68.29%

Wins 63.76%, ties 9.06%

86s

31.71%

Wins 27.18%, ties 9.06%

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

98s against 86s: the numbers

Exact preflop results for 98s against 86s, in percent
HandWinsTiesLosesEquity
98s63.7649.05727.17968.292
86s27.1799.05763.76431.708

Two suited hands meet here: 98s against 86s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

A lead of 36.58 points is large but not decisive: 86s still takes about 272 of every 1,000 deals. Ties are 9.06% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, 98s holds place 83 of 169 and 86s holds place 110.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
98s13,102,0001,861,0005,585,000
86s5,585,0001,861,00013,102,000

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.

98s against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
98s2.1541.5683.6790.464
86s0.4643.6791.5682.154

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

Split by what the flop looks like, 98s peaks at 71.60% on rainbow flops topped by a ten or better and bottoms out at 62.23% on monotone flops. 98s stays ahead on all five textures.

98s against 86s by flop texture, in percent
FlopShare of flops98s winsTies86s wins98s equity
Rainbow, ten or higher25.84467.2218.75824.02171.600
Rainbow, nine or lower5.06560.6914.22635.08362.804
Two-tone46.54363.8207.35228.82867.496
Monotone5.21557.8128.83033.35862.227
Paired17.33361.14715.56123.29268.927

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

A random hand would give 98s 50.80% and 86s 46.24%. Against each other the change is +17.49 points for 98s and -14.53 for 86s.

98s and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
98s, all flops68.29250.801+17.4911.34430
98s, rainbow, ten or higher71.60050.801+20.7991.40942
98s, rainbow, nine or lower62.80450.801+12.0031.23627
98s, two-tone67.49650.801+16.6951.32864
98s, monotone62.22750.801+11.4261.22492
98s, paired68.92750.801+18.1261.35680
86s, all flops31.70846.243-14.5350.68568
86s, rainbow, ten or higher28.40046.243-17.8430.61415
86s, rainbow, nine or lower37.19646.243-9.0470.80436
86s, two-tone32.50446.243-13.7390.70290
86s, monotone37.77346.243-8.4700.81684
86s, paired31.07346.243-15.1700.67195

Does a shared suit matter?

A shared suit is impossible for this matchup, so 98s' 68.29% is the answer for every suit pattern.

98s against 86s by suit overlap, in percent
DealsSpecific dealsShare of deals98s winsTies86s wins98s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0063.7649.05727.17968.292

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 12 are 98s in one seat and 86s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).

A worked example

With $100 from each side, the $200 pot is split on average as $136.58 for 98s and $63.42 for 86s; the first side gains $36.58 per all-in and the second gives up $36.58.

A thousand deals look like this: 98s takes 638, 86s takes 272, 90 are ties.

The same matchup from the other side

One page covers both views. From 86s' side the equity is 31.71%, and from 98s' side it is 68.29%.

Try 9s8s against 8h6h 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 12 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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