98s vs 76s: preflop equity

Averaged over every possible board, 98s is ahead of 76s by 28.04 points of equity, 64.02% to 35.98%.

98s

64.02%

Wins 62.67%, ties 2.70%

76s

35.98%

Wins 34.63%, ties 2.70%

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

98s against 76s: the numbers

Exact preflop results for 98s against 76s, in percent
HandWinsTiesLosesEquity
98s62.6662.70134.63364.016
76s34.6332.70162.66635.984

98s and 76s are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

98s is ahead, but 76s is far from dead: it takes 346 of every 1,000 deals outright. About 2.70% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

By strength against a random hand, 98s holds place 83 of 169 and 76s holds place 115.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
98s17,169,000740,0009,488,000
76s9,488,000740,00017,169,000

Exact total: 16 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.

98s against 76s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
98s1.7791.5962.8870.562
76s0.5622.8871.5961.779

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

If you know the kind of flop that came, the numbers shift: 98s holds 66.62% on rainbow flops topped by a ten or better and 56.69% on low rainbow flops (nine high or lower). 98s stays ahead on all five textures.

98s against 76s by flop texture, in percent
FlopShare of flops98s winsTies76s wins98s equity
Rainbow, ten or higher25.84465.5972.03832.36566.616
Rainbow, nine or lower5.06556.5980.19143.21156.694
Two-tone46.72763.0261.55735.41763.805
Monotone5.27359.1044.27836.61861.243
Paired17.09160.1447.09332.76363.691

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts 98s from 50.80% by +13.22 points and 76s from 45.37% by -9.39 points.

98s and 76s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
98s, all flops64.01650.801+13.2151.26013
98s, rainbow, ten or higher66.61650.801+15.8151.31131
98s, rainbow, nine or lower56.69450.801+5.8931.11600
98s, two-tone63.80550.801+13.0041.25598
98s, monotone61.24350.801+10.4421.20555
98s, paired63.69150.801+12.8901.25374
76s, all flops35.98445.372-9.3880.79309
76s, rainbow, ten or higher33.38445.372-11.9880.73578
76s, rainbow, nine or lower43.30645.372-2.0660.95447
76s, two-tone36.19545.372-9.1770.79774
76s, monotone38.75745.372-6.6150.85421
76s, paired36.30945.372-9.0630.80025

Does a shared suit matter?

When the hands share a suit, 98s holds 66.53%; when they do not, it holds 63.18%. 98s does better with a shared suit, by 3.35 points.

98s against 76s by suit overlap, in percent
DealsSpecific dealsShare of deals98s winsTies76s wins98s equity
Share a suit425.0065.0762.90932.01566.530
No shared suit1275.0061.8622.63235.50663.178

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

With $100 from each side, the $200 pot is split on average as $128.04 for 98s and $71.96 for 76s; the first side gains $28.04 per all-in and the second gives up $28.04.

Run 1,000 deals and the tally comes out near 627 for 98s, 346 for 76s and 27 ties.

The same matchup from the other side

Swap the hands and you get 76s with 35.98% against 98s with 64.02%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in 9s8s against 7h6h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Nothing here is simulated. The 16 deals of 98s against 76s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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