A2s vs 98s: preflop equity

Over all 1,712,304 boards that can follow this deal, A2s finishes with 54.73% of the pot and 98s with 45.27%.

A2s

54.73%

Wins 54.48%, ties 0.51%

98s

45.27%

Wins 45.01%, ties 0.51%

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

A2s against 98s: the numbers

Exact preflop results for A2s against 98s, in percent
HandWinsTiesLosesEquity
A2s54.4790.50845.01354.733
98s45.0130.50854.47945.267

Each side holds one of the suited hands: A2s and 98s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

That is a slim edge: neither hand is far ahead. About 0.51% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, A2s is number 46 and 98s is number 83 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A2s14,926,000139,00012,332,000
98s12,332,000139,00014,926,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

A2s against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A2s1.2091.8362.2220.827
98s0.8272.2221.8361.209

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

If you know the kind of flop that came, the numbers shift: A2s holds 60.60% on paired flops and 38.03% on low rainbow flops (nine high or lower). A2s is the favorite overall but falls behind on low rainbow flops (nine high or lower).

A2s against 98s by flop texture, in percent
FlopShare of flopsA2s winsTies98s winsA2s equity
Rainbow, ten or higher25.22057.0710.20442.72557.173
Rainbow, nine or lower5.68937.7000.66061.64038.030
Two-tone46.72753.3850.26546.35053.518
Monotone5.27351.1213.43045.44952.836
Paired17.09160.2690.67039.06160.604

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

Start from the random-hand figures, 57.38% for A2s and 50.80% for 98s. This opponent changes them by -2.65 and -5.53 points.

A2s and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A2s, all flops54.73357.379-2.6460.95389
A2s, rainbow, ten or higher57.17357.379-0.2060.99641
A2s, rainbow, nine or lower38.03057.379-19.3490.66279
A2s, two-tone53.51857.379-3.8610.93271
A2s, monotone52.83657.379-4.5430.92082
A2s, paired60.60457.379+3.2251.05621
98s, all flops45.26750.801-5.5340.89107
98s, rainbow, ten or higher42.82750.801-7.9740.84303
98s, rainbow, nine or lower61.97050.801+11.1691.21986
98s, two-tone46.48250.801-4.3190.91498
98s, monotone47.16450.801-3.6370.92841
98s, paired39.39650.801-11.4050.77550

Does a shared suit matter?

Two kinds of deal exist here. In 4 of them the hands share a suit and A2s holds 56.31%. In 12 they do not, and it holds 54.21%. A2s does better with a shared suit, by 2.10 points.

A2s against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsA2s winsTies98s winsA2s equity
Share a suit425.0056.0130.58943.39856.308
No shared suit1275.0053.9680.48145.55154.209

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A2s against 98s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average A2s takes back $109.46 of it, which is $9.46 more than it put in, and 98s takes back $90.54, $9.46 less than it put in.

Over a long run, 1,000 deals split into about 545 for A2s, 450 for 98s and 5 tied.

The same matchup from the other side

The mirror image, 98s against A2s, is 45.27% to 54.73%, and its address redirects to this page.

Open the calculator with As2s 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of A2s against 98s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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