A7s vs 87s: preflop equity

If A7s and 87s get all the chips in before the flop, A7s owns 66.98% of the pot in the long run and 87s owns 33.02%.

A7s

66.98%

Wins 65.98%, ties 2.00%

87s

33.02%

Wins 32.02%, ties 2.00%

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

A7s against 87s: the numbers

Exact preflop results for A7s against 87s, in percent
HandWinsTiesLosesEquity
A7s65.9831.99732.02066.982
87s32.0201.99765.98333.018

Here suited hands face each other, A7s on one side and 87s on the other. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.

A lead of 33.96 points is large but not decisive: 87s still takes about 320 of every 1,000 deals. Ties are part of the picture: 2.00% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, A7s is number 24 and 87s is number 100 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A7s13,558,000410,0006,579,000
87s6,579,000410,00013,558,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

A7s against 87s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A7s2.0291.5163.1230.493
87s0.4933.1231.5162.029

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

A7s prefers paired flops, where it holds 71.76%, and likes low rainbow flops (nine high or lower) least, where it holds 52.07%. A7s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A7s against 87s by flop texture, in percent
FlopShare of flopsA7s winsTies87s winsA7s equity
Rainbow, ten or higher25.25470.3301.41528.25571.038
Rainbow, nine or lower5.65449.9564.23745.80752.074
Two-tone46.54364.6171.69533.68865.465
Monotone5.21559.1014.15336.74661.178
Paired17.33470.6182.27527.10771.755

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

The table below sets each hand against its own random-hand baseline: a change of +6.00 points for A7s, from 60.98%, and -14.92 for 87s, from 47.94%.

A7s and 87s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A7s, all flops66.98260.984+5.9981.09835
A7s, rainbow, ten or higher71.03860.984+10.0541.16486
A7s, rainbow, nine or lower52.07460.984-8.9100.85390
A7s, two-tone65.46560.984+4.4811.07348
A7s, monotone61.17860.984+0.1941.00318
A7s, paired71.75560.984+10.7711.17662
87s, all flops33.01847.936-14.9180.68879
87s, rainbow, ten or higher28.96247.936-18.9740.60418
87s, rainbow, nine or lower47.92647.936-0.0100.99979
87s, two-tone34.53547.936-13.4010.72044
87s, monotone38.82247.936-9.1140.80987
87s, paired28.24547.936-19.6910.58922

Does a shared suit matter?

A shared suit is impossible for this matchup, so A7s' 66.98% is the answer for every suit pattern.

A7s against 87s by suit overlap, in percent
DealsSpecific dealsShare of dealsA7s winsTies87s winsA7s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0065.9831.99732.02066.982

How often this matchup comes up

The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.

A worked example

Take a $200 pot built from $100 each. A7s' equity of 66.98% is worth $133.96, a $33.96 edge, and 87s' 33.02% is worth $66.04, which is $33.96 under its stake.

Over a long run, 1,000 deals split into about 660 for A7s, 320 for 87s and 20 tied.

The same matchup from the other side

Read it from the other side: 87s against A7s is the same matchup with the numbers swapped, so 87s holds 33.02% and A7s holds 66.98%. That address sends you back to this page.

Try As7s against 8h7h 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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