A7s vs 98s: preflop equity

Counting every board, the equity split is 56.12% for A7s and 43.88% for 98s, so A7s leads by 12.24 points.

A7s

56.12%

Wins 55.90%, ties 0.46%

98s

43.88%

Wins 43.64%, ties 0.46%

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

A7s against 98s: the numbers

Exact preflop results for A7s against 98s, in percent
HandWinsTiesLosesEquity
A7s55.8950.45643.64956.123
98s43.6490.45655.89543.877

Two suited hands meet here: A7s against 98s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 12.24 point lead is real, and 98s still takes about 436 of every 1,000 deals outright. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.

A7s ranks number 24 of 169 starting hands, and 98s ranks number 83, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A7s15,313,000125,00011,958,000
98s11,958,000125,00015,313,000

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.

A7s against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A7s1.2791.7892.2910.782
98s0.7822.2911.7891.279

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

Break the boards down by their first three cards and A7s is strongest on paired flops (61.60%) and weakest on low rainbow flops (nine high or lower) (39.68%). 98s is ahead on low rainbow flops (nine high or lower), even though it trails A7s when every flop is counted.

A7s against 98s by flop texture, in percent
FlopShare of flopsA7s winsTies98s winsA7s equity
Rainbow, ten or higher25.22058.7440.19841.05858.843
Rainbow, nine or lower5.68939.5100.34160.14939.680
Two-tone46.72754.8180.20844.97454.922
Monotone5.27352.0483.38544.56753.741
Paired17.09161.2800.64938.07161.604

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

Relative to a random opponent, A7s changes by -4.86 points (baseline 60.98%) and 98s by -6.92 points (baseline 50.80%).

A7s and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A7s, all flops56.12360.984-4.8610.92029
A7s, rainbow, ten or higher58.84360.984-2.1410.96489
A7s, rainbow, nine or lower39.68060.984-21.3040.65066
A7s, two-tone54.92260.984-6.0620.90060
A7s, monotone53.74160.984-7.2430.88123
A7s, paired61.60460.984+0.6201.01017
98s, all flops43.87750.801-6.9240.86370
98s, rainbow, ten or higher41.15750.801-9.6440.81016
98s, rainbow, nine or lower60.32050.801+9.5191.18738
98s, two-tone45.07850.801-5.7230.88734
98s, monotone46.25950.801-4.5420.91059
98s, paired38.39650.801-12.4050.75581

Does a shared suit matter?

Split by suits, the deals give A7s 57.93% when the hands overlap in a suit and 55.52% when they do not. A7s does better with a shared suit, by 2.41 points.

A7s against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsA7s winsTies98s winsA7s equity
Share a suit425.0057.6620.52941.80957.927
No shared suit1275.0055.3060.43244.26255.522

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

Worked example: both players commit $100, so $200 sits in the middle. Over every board, A7s' average share is $112.24 (a gain of $12.24) and 98s' is $87.76 (a loss of $12.24).

Run 1,000 deals and the tally comes out near 559 for A7s, 436 for 98s and 5 ties.

The same matchup from the other side

98s against A7s adds nothing new: it is 43.88% for 98s and 56.12% for A7s, the same figures reversed.

Open the calculator with As7s against 9h8h 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 16 specific A7s 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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