A6s vs 98s: preflop equity

Averaged over every possible board, A6s is ahead of 98s by 11.16 points of equity, 55.58% to 44.42%.

A6s

55.58%

Wins 55.35%, ties 0.46%

98s

44.42%

Wins 44.19%, ties 0.46%

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

A6s against 98s: the numbers

Exact preflop results for A6s against 98s, in percent
HandWinsTiesLosesEquity
A6s55.3470.46344.19055.579
98s44.1900.46355.34744.421

Two suited hands meet here: A6s against 98s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.46% of the boards, and both equity figures count them as half a win each.

The hand ranking puts A6s at 31 and 98s at 83 out of 169 starting hands.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A6s15,163,000127,00012,107,000
98s12,107,000127,00015,163,000

16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

A6s against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A6s1.2511.8072.2630.799
98s0.7992.2631.8071.251

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Break the boards down by their first three cards and A6s is strongest on paired flops (61.24%) and weakest on low rainbow flops (nine high or lower) (39.45%). 98s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

A6s against 98s by flop texture, in percent
FlopShare of flopsA6s winsTies98s winsA6s equity
Rainbow, ten or higher25.22058.0060.17141.82358.092
Rainbow, nine or lower5.68939.1980.50960.29339.452
Two-tone46.72754.2570.21545.52854.364
Monotone5.27351.6743.39044.93653.369
Paired17.09160.9130.65338.43461.240

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

Against one random hand instead, A6s holds 59.91% and 98s holds 50.80%. Facing each other changes that by -4.33 points for A6s and -6.38 points for 98s.

A6s and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A6s, all flops55.57959.906-4.3270.92777
A6s, rainbow, ten or higher58.09259.906-1.8140.96972
A6s, rainbow, nine or lower39.45259.906-20.4540.65857
A6s, two-tone54.36459.906-5.5420.90749
A6s, monotone53.36959.906-6.5370.89088
A6s, paired61.24059.906+1.3341.02227
98s, all flops44.42150.801-6.3800.87441
98s, rainbow, ten or higher41.90850.801-8.8930.82494
98s, rainbow, nine or lower60.54850.801+9.7471.19187
98s, two-tone45.63650.801-5.1650.89833
98s, monotone46.63150.801-4.1700.91792
98s, paired38.76050.801-12.0410.76298

Does a shared suit matter?

When the hands share a suit, A6s holds 57.30%; when they do not, it holds 55.01%. A6s does better with a shared suit, by 2.29 points.

A6s against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsA6s winsTies98s winsA6s equity
Share a suit425.0057.0290.53842.43357.298
No shared suit1275.0054.7870.43844.77555.006

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. A6s is worth $111.16 on average (+$11.16); 98s is worth $88.84 (-$11.16).

In 1,000 deals of exactly this matchup, expect about 553 won outright by A6s, about 442 won outright by 98s and about 5 split.

The same matchup from the other side

The reversed view, 98s against A6s, shows 44.42% for 98s and 55.58% for A6s. It is the same count, so it redirects here.

Try As6s against 9h8h 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

We counted every case. Each suit pattern of the 16 specific A6s against 98s 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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